Publications (433)

2026

• Zuazua, E. (2026). Machine Learning and Control: Foundations, Advances, and Perspectives. arXiv preprint. arXiv: 2510.03303 , FAU CRIS
• Alcalde, A., Fantuzzi, G., & Zuazua, E. (2026). Exact sequence interpolation with transformers. (Unpublished, Submitted). arXiv: 2502.02270 , FAU CRIS
• Liu, K., Wang, Z., & Zuazua, E. (2026). A Potential Game Perspective in Federated Learning. (Unpublished, Submitted). , FAU CRIS
• Lü, Q., Ma, B., Zuazua Iriondo, E., & Zuazua, E. (2026). Mean-Square Stability of Continuous-Time Stochastic Model Predictive Control. (Unpublished, Submitted). , FAU CRIS

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2025

• Liu, K. & Zuazua, E. (2025). A PDE perspective on generative diffusion models. (Unpublished, Submitted). , FAU CRIS
• Dehman, B., Ervedoza, S., & Zuazua, E. (2025). Regional and Partial Observability and Control of Waves. Special issue on the memory of H. Brezis. C. R. Acad. Sci. Paris. arXiv: 2504.18976 , FAU CRIS
• Song, Y., Wang, Z., & Zuazua, E. (2025). FedADMM-InSa: An inexact and self-adaptive ADMM for federated learning. Neural Networks, 181, 106--772. https://doi.org/10.1016/j.neunet.2024.106772 , FAU CRIS
• Fernandes Barreira, J., Sonego, M., & Zuazua, E. (2025). Boundary and Interior Control in a Diffusive Lotka-Volterra Model. (Unpublished, Submitted). , FAU CRIS
• Acero, A., Jimenez-Rodriguez, D. M., Pighin, D., Zuazua, E., Del Rio, J., & Uribe-Etxebarria, X. (2025). The Sherpa.ai Blind Vertical Federated Learning Paradigm to Minimize the Number of Communications. arXiv preprint. arXiv: 2510.17901 , FAU CRIS
• Ignat, L. & Zuazua, E. (2025). Sharp Numerical Approximation of the Hardy Constant. Discrete and Continuous Dynamical Systems. https://doi.org/10.3934/dcds.2025165
• Li, Z., Liu, K., Song, Y., Yue, H., & Zuazua, E. (2025). Deep Neural ODE Operator Networks for PDEs. arXiv preprint.
• Floridia, G. & Zuazua, E. (2025). Analysis and Numerics of Design, Control and Inverse Problems. Springer Nature Singapore. https://doi.org/10.1007/978-981-96-6182-4
• Liverani, L., Steynberg, M., & Zuazua, E. (2025). HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling. arXiv preprint. arXiv: 2509.14123
• Ftouhi, I. & Zuazua, E. (2025). Sensor Placement via Large Deviations in the Eikonal Equation. arXiv preprint. arXiv: 2508.21469
• Alcalde, A., Fantuzzi, G., & Zuazua, E. (2025). Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis. SIAM J. Math. Data Sci., 7(3), 1367--1393. https://doi.org/10.1137/24M167086X arXiv: 2407.01602
• Dehman, B. & Zuazua, E. (2025). Boundary Sidewise Observability of the Wave Equation. Journal of the European Mathematical Society (JEMS). https://doi.org/10.4171/jems/1688 arXiv: 2310.19456
• Trélat, E. & Zuazua, E. (2025). Turnpike in Optimal Control and Beyond: A Survey. Modeling and Optimization in Space Engineering, Challenges of the Near Future. arXiv: 2503.20342
• Sonego, M. & Zuazua, E. (2025). Control of a Lotka-Volterra System with Weak Competition. Communications in Information and Systems (CIS). arXiv: 2409.20279
• Affili, E. & Zuazua, E. (2025). Controllability of diffusive Lotka–Volterra strongly competitive systems under boundary constrained controls. arXiv preprint. arXiv: 2508.00713
• Hernández, M. & Zuazua, E. (2025). Random Batch Methods for Discretized PDEs on Graphs. arXiv preprint. arXiv: 2506.11809
• Liu, K. & Zuazua, E. (2025). Moments, Time-Inversion and Source Identification for the Heat Equation. arXiv preprint.
• Hernández, M. & Zuazua, E. (2025). Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep ReLU Networks. arXiv preprint.
• Fattah, Z., Ftouhi, I., & Zuazua, E. (2025). Optimal \(L^p\)-approximation of convex sets by convex subsets. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 261, 18. https://doi.org/10.1016/j.na.2025.113866
• Crin-Barat, T., Shou, L., & Zuazua, E. (2025). Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped \(p\)-system. Ann. Inst. Henri Poincaré C, Anal. Non Linéaire, 42(5), 1165--1218. https://doi.org/10.4171/AIHPC/128
• Álvarez-López, A., Orive-Illera, R., & Zuazua, E. (2025). Cluster-based classification with neural odes via control. J. Mach. Learn., 4(2), 128--156. https://doi.org/10.4208/jml.241114
• De Nitti, N., Serre, D., & Zuazua, E. (2025). Pointwise constraints for scalar conservation laws with positive wave velocity. Z. Angew. Math. Phys., 76(3), 17. https://doi.org/10.1007/s00033-025-02459-0
• Crin-Barat, T., Liverani, L., Shou, L., & Zuazua, E. (2025). Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: an algorithmic approach. J. Math. Pures Appl. (9), 202, 103757. https://doi.org/10.1016/j.matpur.2025.103757
• Bárcena-Petisco, J. A. & Zuazua, E. (2025). Tracking controllability for the heat equation. IEEE Trans. Autom. Control, 70(3), 1935--1940. https://doi.org/10.1109/TAC.2024.3476174
• Liu, K. & Zuazua, E. (2025). Representation and regression problems in neural networks: Relaxation, generalization, and numerics. Math. Models Methods Appl. Sci., 35(6), 1471--1521. https://doi.org/10.1142/S0218202525500228 , FAU CRIS
• Bárcena-Petisco, J. A., Cavalcante, M., Coclite, G. M., De Nitti, N., & Zuazua, E. (2025). Control of hyperbolic and parabolic equations on networks and singular limits. Math. Control Relat. Fields, 15(1), 348--389. https://doi.org/10.3934/mcrf.2024015
• Biccari, U. & Zuazua, E. (2025). Gaussian beam ansatz for finite difference wave equations. Found. Comput. Math., 25(1), 1--54. https://doi.org/10.1007/s10208-023-09632-9
• Liu, K. & Zuazua, E. (2025). Moments, Time-Inversion and Source Identification for the Heat Equation. (Unpublished, Submitted). arXiv: 2507.02677
• Biccari, U., Warma, M., & Zuazua, E. (2025). Boundary observation and control for fractional heat and wave equations. (Unpublished, Submitted). arXiv: 2504.17413
• Ignat, L. I. & Zuazua, E. (2025). Optimal convergence rates for the finite element approximation of the Sobolev constant. (Unpublished, Submitted). arXiv: 2504.09637

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2024

• Alvarez-López Antonio, O. R. & Zuazua, E. (2024). Optimized classification with neural ODEs via separability. (Unpublished, Submitted). arXiv: https://doi.org/10.48550/arXiv.2312.13807 , FAU CRIS
• Lecaros, R., López-Ríos, J., Montecinos, G. I., & Zuazua, E. (2024). Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements. Math. Methods Appl. Sci., 47(18), 13973--14004. https://doi.org/10.1002/mma.10251
• Veldman, D. W. M., Borkowski, A., & Zuazua, E. (2024). Stability and convergence of a randomized model predictive control strategy. IEEE Trans. Autom. Control, 69(9), 6253--6260. https://doi.org/10.1109/TAC.2024.3375253
• Wang, G., Zhang, Y., & Zuazua, E. (2024). Observability for heat equations with time-dependent analytic memory. Arch. Ration. Mech. Anal., 248(6), 46. https://doi.org/10.1007/s00205-024-02058-9
• Zuazua, E. (2024). Exact controllability and stabilization of the wave equation. Translated from the Spanish by Darlis Bracho Tudares. Cham: Springer. https://doi.org/10.1007/978-3-031-58857-0
• Coclite, G. M., De Nitti, N., Maddalena, F., Orlando, G., & Zuazua, E. (2024). Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings. Math. Models Methods Appl. Sci., 34(8), 1445--1482. https://doi.org/10.1142/S021820252450026X , FAU CRIS
• Lazar, M. & Zuazua, E. (2024). Eigenvalue bounds for the Gramian operator of the heat equation. Automatica, 164, 11. https://doi.org/10.1016/j.automatica.2024.111653
• Della Pietra, F., Fantuzzi, G., Ignat, L. I., Masiello, A. L., Paoli, G., & Zuazua, E. (2024). Finite element approximation of the Hardy constant. J. Convex Anal., 31(2), 497--523.
• Hernández, M. & Zuazua, E. (2024). Uniform turnpike property and singular limits. Acta Appl. Math., 190, 33. https://doi.org/10.1007/s10440-024-00640-7
• Ruiz-Balet, D. & Zuazua, E. (2024). Control of neural transport for normalising flows. J. Math. Pures Appl. (9), 181, 58--90. https://doi.org/10.1016/j.matpur.2023.10.005
• Zamorano, S. & Zuazua, E. (2024). Tracking controllability for finite-dimensional linear systems. (Unpublished, Submitted). arXiv: 2407.18641
• Ruiz-Balet, D. & Zuazua, E. (2024). Pattern control via Diffussion interaction. (Unpublished, Submitted). arXiv: 2407.17514
• Li, Z., Liu, K., Liverani, L., & Zuazua, E. (2024). Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications. (Unpublished, Submitted). arXiv: 2407.17092
• Zuazua, E. (2024). Progress and future directions in machine learning through control theory. (Unpublished, Submitted). , FAU CRIS

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2023

• Coclite, G. M., De Nitti, N., Keimer, A., Pflug, L., & Zuazua, E. (2023). Long-time convergence of a nonlocal Burgers' equation towards the local \(N\)-wave. Nonlinearity, 36(11), 5998--6019. https://doi.org/10.1088/1361-6544/acf01d
• Biccari, U., Song, Y., Yuan, X., & Zuazua, E. (2023). A two-stage numerical approach for the sparse initial source identification of a diffusion-advection equation. Inverse Probl., 39(9), 30. https://doi.org/10.1088/1361-6420/ace548
• Ruiz-Balet, D. & Zuazua, E. (2023). Neural ODE control for classification, approximation, and transport. SIAM Rev., 65(3), 735--773. https://doi.org/10.1137/21M1411433
• Mazari, I., Ruiz-Balet, D., & Zuazua, E. (2023). Constrained control of gene-flow models. Ann. Inst. Henri Poincaré C, Anal. Non Linéaire, 40(3), 717--766. https://doi.org/10.4171/AIHPC/52
• Lazar, M. & Zuazua, E. (2023). Greedy search of optimal approximate solutions. Pure Appl. Funct. Anal., 8(2), 547--564.
• Ftouhi, I. & Zuazua, E. (2023). Optimal design of sensors via geometric criteria. J. Geom. Anal., 33(8), 29. https://doi.org/10.1007/s12220-023-01301-1
• Ftouhi, I. & Zuazua, E. (2023). Optimal Placement and Shape Design of Sensors via Geometric Criteria. (Unpublished, Submitted).
• Biccari, U. & Zuazua, E. (2023). Multilevel control by duality. Syst. Control Lett., 175, 16. https://doi.org/10.1016/j.sysconle.2023.105502
• Liard, T. & Zuazua, E. (2023). Analysis and numerical solvability of backward-forward conservation laws. SIAM J. Math. Anal., 55(3), 1949--1968. https://doi.org/10.1137/22M1478720
• De Nitti, N. & Zuazua, E. (2023). On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods. Vietnam J. Math., 51(1), 71--88. https://doi.org/10.1007/s10013-022-00598-9
• Esteve-Yagüe, C. & Zuazua, E. (2023). Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 227, 18. https://doi.org/10.1016/j.na.2022.113167
• Dehman, B. & Zuazua, E. (2023). Boundary Sidewise Observability of the Wave Equation. (Unpublished, Submitted). arXiv: 2310.19456
• Zuazua, E. (2023). Fourier series and sidewise profile control of 1-d waves. (Unpublished, Submitted). arXiv: 2308.04906

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2022

• Geshkovski, B. & Zuazua, E. (2022). Optimal actuator design via Brunovsky's normal form. IEEE Trans. Autom. Control, 67(12), 6641--6650. https://doi.org/10.1109/TAC.2022.3181222
• Geshkovski, B. & Zuazua, E. (2022). Turnpike in optimal control of PDEs, ResNets, and beyond. Acta Numerica, 31, 135--263. https://doi.org/10.1017/S0962492922000046
• Esteve, C., Kouhkouh, H., Pighin, D., & Zuazua, E. (2022). The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Math. Control Signals Syst., 34(4), 819--853. https://doi.org/10.1007/s00498-022-00325-2
• Ruiz-Balet, D. & Zuazua, E. (2022). Control of reaction-diffusion models in biology and social sciences. Math. Control Relat. Fields, 12(4), 955--1038. https://doi.org/10.3934/mcrf.2022032
• Esteve-Yagüe, C. & Zuazua, E. (2022). Differentiability with respect to the initial condition for Hamilton-Jacobi equations. SIAM J. Math. Anal., 54(5), 5388--5423. https://doi.org/10.1137/22M1469353
• Han, Z. & Zuazua, E. (2022). Slow decay and turnpike for infinite-horizon hyperbolic linear quadratic problems. SIAM J. Control Optim., 60(4), 2440--2468. https://doi.org/10.1137/21M1441985
• Biccari, U., Warma, M., & Zuazua, E. (2022). Control and numerical approximation of fractional diffusion equations. Numerical control. Part A.
• Liard, T. & Zuazua, E. (2022). Initial data identification for the one-dimensional Burgers equation. IEEE Trans. Autom. Control, 67(6), 3098--3104. https://doi.org/10.1109/TAC.2021.3096921
• Veldman, D. W. M. & Zuazua, E. (2022). A framework for randomized time-splitting in linear-quadratic optimal control. Numer. Math., 151(2), 495--549. https://doi.org/10.1007/s00211-022-01290-3
• Saraç, Y. & Zuazua, E. (2022). Sidewise profile control of 1-D waves. J. Optim. Theory Appl., 193(1-3), 931--949. https://doi.org/10.1007/s10957-021-01986-w
• Lance, G., Trélat, E., & Zuazua, E. (2022). Numerical issues and turnpike phenomenon in optimal shape design. Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. https://doi.org/10.1515/9783110695984-012
• Ruiz-Balet, D., Affili, E., & Zuazua, E. (2022). Interpolation and approximation via momentum ResNets and neural ODEs. Syst. Control Lett., 162, 13. https://doi.org/10.1016/j.sysconle.2022.105182
• Jin, S., Zhu, Y., & Zuazua, E. (2022). The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Numer. Math., 150(2), 479--519. https://doi.org/10.1007/s00211-021-01257-w
• Esteve-Yagüe, C., Geshkovski, B., Pighin, D., & Zuazua, E. (2022). Turnpike in Lipschitz-nonlinear optimal control. Nonlinearity, 35(4), 1652--1701. https://doi.org/10.1088/1361-6544/ac4e61
• Wang, G., Zhang, Y., & Zuazua, E. (2022). Flow decomposition for heat equations with memory. J. Math. Pures Appl. (9), 158, 183--215. https://doi.org/10.1016/j.matpur.2021.11.005
• Francisco, A., Biccari, U., & Zuazua, E. (2022). Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation. (Unpublished, Submitted). arXiv: 2210.03798
• Veldman, D. & Zuazua, E. (2022). Local Stability and Convergence of Unconstrained Model Predictive Control. (Unpublished, Submitted). arXiv: 2206.01097
• Crin-Barat, T., De Nitti, N., & Zuazua, E. (2022). On the decay of one-dimensional locally and partially dissipated hyperbolic systems. (Unpublished, Submitted). arXiv: 2206.00555

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2021

• Bárcena-Petisco, J. A. & Zuazua, E. (2021). Averaged dynamics and control for heat equations with random diffusion. Syst. Control Lett., 158, 15. https://doi.org/10.1016/j.sysconle.2021.105055
• Sakamoto, N. & Zuazua, E. (2021). The turnpike property in nonlinear optimal control -- a geometric approach. Automatica, 134, 11. https://doi.org/10.1016/j.automatica.2021.109939
• Ko, D. & Zuazua, E. (2021). Model predictive control with random batch methods for a guiding problem. Math. Models Methods Appl. Sci., 31(8), 1569--1592. https://doi.org/10.1142/S0218202521500329
• Heiland, J. & Zuazua, E. (2021). Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems. SIAM J. Control Optim., 59(5), 3600--3624. https://doi.org/10.1137/20M1356105
• Geshkovski, B. & Zuazua, E. (2021). Controllability of one-dimensional viscous free boundary flows. SIAM J. Control Optim., 59(3), 1830--1850. https://doi.org/10.1137/19M1285354
• Gugat, M., Schuster, M., & Zuazua, E. (2021). The finite-time turnpike phenomenon for optimal control problems: stabilization by non-smooth tracking terms. Stabilization of distributed parameter systems: design methods and applications. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15--19, 2019. https://doi.org/10.1007/978-3-030-61742-4_2
• Lohéac, J., Trélat, E., & Zuazua, E. (2021). Nonnegative control of finite-dimensional linear systems. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 38(2), 301--346. https://doi.org/10.1016/j.anihpc.2020.07.004
• Biccari, U. & Zuazua, E. (2021). Multilevel Selective Harmonic Modulation by Duality. (Unpublished, Submitted). arXiv: 2112.10443

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2020

• Biccari, U., Marica, A., & Zuazua, E. (2020). Propagation of one- and two-dimensional discrete waves under finite difference approximation. Found. Comput. Math., 20(6), 1401--1438. https://doi.org/10.1007/s10208-020-09445-0
• Monge, A. & Zuazua, E. (2020). Sparse source identification of linear diffusion-advection equations by adjoint methods. Syst. Control Lett., 145, 10. https://doi.org/10.1016/j.sysconle.2020.104801
• Esteve, C. & Zuazua, E. (2020). The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. SIAM J. Math. Anal., 52(6), 5627--5657. https://doi.org/10.1137/20M1330130
• Ko, D. & Zuazua, E. (2020). Asymptotic behavior and control of a ``Guidance by repulsion'' model. Math. Models Methods Appl. Sci., 30(4), 765--804. https://doi.org/10.1142/S0218202520400047
• Ruiz-Balet, D. & Zuazua, E. (2020). Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl. (9), 143, 345--375. https://doi.org/10.1016/j.matpur.2020.08.006
• Lance, G., Trélat, E., & Zuazua, E. (2020). Shape turnpike for linear parabolic PDE models. Syst. Control Lett., 142, 8. https://doi.org/10.1016/j.sysconle.2020.104733
• Cortés, J., Navarro-Quiles, A., Romero, J., Roselló, M., & Zuazua, E. (2020). Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. J. Franklin Inst., 357(12), 8156--8180. https://doi.org/10.1016/j.jfranklin.2020.06.005
• Biccari, U., Warma, M., & Zuazua, E. (2020). Controllability of the one-dimensional fractional heat equation under positivity constraints. Commun. Pure Appl. Anal., 19(4), 1949--1978. https://doi.org/10.3934/cpaa.2020086
• Hernández-Santamaría, V. & Zuazua, E. (2020). Controllability of shadow reaction-diffusion systems. J. Differ. Equations, 268(7), 3781--3818. https://doi.org/10.1016/j.jde.2019.10.012
• Biccari, U., Navarro-Quiles, A., & Zuazua, E. (2020). Stochastic optimization methods for the simultaneous control of parameter-dependent systems. (Unpublished, Submitted). arXiv: 2005.04116
• Zuazua, E. (2020). Asymptotic behavior of scalar convection-diffusion equations. (Unpublished, Submitted). arXiv: 2003.11834

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2019

• Maity, D., Tucsnak, M., & Zuazua, E. (2019). Controllability of a class of infinite dimensional systems with age structure. Control Cybern., 48(2), 231--260.
• Ruiz-Balet, D. & Zuazua, E. (2019). A parabolic approach to the control of opinion spreading. Applied wave mathematics II. Selected topics in solids, fluids, and mathematical methods and complexity. https://doi.org/10.1007/978-3-030-29951-4_15
• Biccari, U., Ko, D., & Zuazua, E. (2019). Dynamics and control for multi-agent networked systems: a finite-difference approach. Math. Models Methods Appl. Sci., 29(4), 755--790. https://doi.org/10.1142/S0218202519400050
• Pighin, D. & Zuazua, E. (2019). Controllability under positivity constraints of multi-d wave equations. Trends in control theory and partial differential equations. https://doi.org/10.1007/978-3-030-17949-6_11
• Morales-Hernández, M. & Zuazua, E. (2019). Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Comput. Appl. Math., 38(4), 25. https://doi.org/10.1007/s40314-019-0935-0
• Maity, D., Tucsnak, M., & Zuazua, E. (2019). Controllability and positivity constraints in population dynamics with age structuring and diffusion. J. Math. Pures Appl. (9), 129, 153--179. https://doi.org/10.1016/j.matpur.2018.12.006
• Privat, Y., Trélat, E., & Zuazua, E. (2019). Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Calc. Var. Partial Differ. Equ., 58(2), 45. https://doi.org/10.1007/s00526-019-1522-3
• Lissy, P. & Zuazua, E. (2019). Internal observability for coupled systems of linear partial differential equations. SIAM J. Control Optim., 57(2), 832--853. https://doi.org/10.1137/17M1119160
• Bianchini, R., Gosse, L., & Zuazua, E. (2019). A two-dimensional ``flea on the elephant'' phenomenon and its numerical visualization. Multiscale Model. Simul., 17(1), 137--166. https://doi.org/10.1137/18M1179985
• Pouchol, C., Trélat, E., & Zuazua, E. (2019). Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Nonlinearity, 32(3), 884--909. https://doi.org/10.1088/1361-6544/aaf07e
• Hernández-Santamaría, V., Lazar, M., & Zuazua, E. (2019). Greedy optimal control for elliptic problems and its application to turnpike problems. Numer. Math., 141(2), 455--493. https://doi.org/10.1007/s00211-018-1005-z

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2018

• Trélat, E., Zhang, C., & Zuazua, E. (2018). Optimal shape design for 2D heat equations in large time. Pure Appl. Funct. Anal., 3(1), 255--269.
• Pighin, D. & Zuazua, E. (2018). Controllability under positivity constraints of semilinear heat equations. Math. Control Relat. Fields, 8(3-4), 935--964. https://doi.org/10.3934/mcrf.2018041
• Biccari, U., Warma, M., & Zuazua, E. (2018). Local regularity for fractional heat equations. Recent advances in PDEs: analysis, numerics and control. In honor of Prof. Fernández-Cara's 60th birthday. Based on talks given at the workshop, Sevilla, Spain, January 25--27, 2017. https://doi.org/10.1007/978-3-319-97613-6_12
• Trélat, E., Zhu, J., & Zuazua, E. (2018). Allee optimal control of a system in ecology. Math. Models Methods Appl. Sci., 28(9), 1665--1697. https://doi.org/10.1142/S021820251840002X
• Lohéac, J., Trélat, E., & Zuazua, E. (2018). Minimal controllability time for finite-dimensional control systems under state constraints. Automatica, 96, 380--392. https://doi.org/10.1016/j.automatica.2018.07.010
• Lissy, P. & Zuazua, E. (2018). Internal controllability for parabolic systems involving analytic non-local terms. Chin. Ann. Math., Ser. B, 39(2), 281--296. https://doi.org/10.1007/s11401-018-1064-6
• Trélat, E., Zhang, C., & Zuazua, E. (2018). Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. SIAM J. Control Optim., 56(2), 1222--1252. https://doi.org/10.1137/16M1097638

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2017

• Han, Z. & Zuazua, E. (2017). Decay rates for elastic-thermoelastic star-shaped networks. Netw. Heterog. Media, 12(3), 461--488. https://doi.org/10.3934/nhm.2017020
• Biccari, U., Warma, M., & Zuazua, E. (2017). Addendum to: "Local elliptic regularity for the Dirichlet fractional Laplacian". Adv. Nonlinear Stud., 17(4), 837--839. https://doi.org/10.1515/ans-2017-6020
• Lü, Q., Zhang, X., & Zuazua, E. (2017). Null controllability for wave equations with memory. J. Math. Pures Appl. (9), 108(4), 500--531. https://doi.org/10.1016/j.matpur.2017.05.001
• Privat, Y., Trélat, E., & Zuazua, E. (2017). Optimal location of sensors and actuators for wave and heat processes. PDE's, dispersion, scattering theory and control theory.
• Chaves-Silva, F. W., Zhang, X., & Zuazua, E. (2017). Controllability of evolution equations with memory. SIAM J. Control Optim., 55(4), 2437--2459. https://doi.org/10.1137/151004239
• Lohéac, J., Trélat, E., & Zuazua, E. (2017). Minimal controllability time for the heat equation under unilateral state or control constraints. Math. Models Methods Appl. Sci., 27(9), 1587--1644. https://doi.org/10.1142/S0218202517500270
• Gosse, L. & Zuazua, E. (2017). Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17--20, 2016. https://doi.org/10.1007/978-3-319-49262-9_7
• Privat, Y., Trélat, E., & Zuazua, E. (2017). Actuator design for parabolic distributed parameter systems with the moment method. SIAM J. Control Optim., 55(2), 1128--1152. https://doi.org/10.1137/16M1058418
• Biccari, U., Warma, M., & Zuazua, E. (2017). Local elliptic regularity for the Dirichlet fractional Laplacian. Adv. Nonlinear Stud., 17(2), 387--409. https://doi.org/10.1515/ans-2017-0014
• Lohéac, J. & Zuazua, E. (2017). Averaged controllability of parameter dependent conservative semigroups. J. Differ. Equations, 262(3), 1540--1574. https://doi.org/10.1016/j.jde.2016.10.017
• Porretta, A. & Zuazua, E. (2017). Numerical hypocoercivity for the Kolmogorov equation. Math. Comput., 86(303), 97--119. https://doi.org/10.1090/mcom/3157

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2016

• Privat, Y., Trélat, E., & Zuazua, E. (2016). Randomised observation, control and stabilization of waves. ZAMM, Z. Angew. Math. Mech., 96(5), 538--549. https://doi.org/10.1002/zamm.201500181
• Escobedo, R., Ibañez, A., & Zuazua, E. (2016). Optimal strategies for driving a mobile agent in a ``guidance by repulsion'' model. Commun. Nonlinear Sci. Numer. Simul., 39, 58--72. https://doi.org/10.1016/j.cnsns.2016.02.017
• Ervedoza, S., Marica, A., & Zuazua, E. (2016). Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. IMA J. Numer. Anal., 36(2), 503--542. https://doi.org/10.1093/imanum/drv026
• Porretta, A. & Zuazua, E. (2016). Remarks on long time versus steady state optimal control. Mathematical paradigms of climate science. Based on the workshop, Rome, Italy, summer 2013. https://doi.org/10.1007/978-3-319-39092-5_5
• Han, Z. & Zuazua, E. (2016). Decay rates for \(1-d\) heat-wave planar networks. Netw. Heterog. Media, 11(4), 655--692. https://doi.org/10.3934/nhm.2016013
• Gugat, M. & Zuazua, E. (2016). Exact penalization of terminal constraints for optimal control problems. Optim. Control Appl. Methods, 37(6), 1329--1354. https://doi.org/10.1002/oca.2238
• Choulli, M. & Zuazua, E. (2016). Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems. C. R., Math., Acad. Sci. Paris, 354(12), 1174--1187. https://doi.org/10.1016/j.crma.2016.10.017
• Beli, C. N., Ignat, L. I., & Zuazua, E. (2016). Dispersion for 1-D Schrödinger and wave equations with BV coefficients. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 33(6), 1473--1495. https://doi.org/10.1016/j.anihpc.2015.06.002
• Lazar, M. & Zuazua, E. (2016). Greedy controllability of finite dimensional linear systems. Automatica, 74, 327--340. https://doi.org/10.1016/j.automatica.2016.08.010
• Lohéac, J. & Zuazua, E. (2016). From averaged to simultaneous controllability. Ann. Fac. Sci. Toulouse, Math. (6), 25(4), 785--828. https://doi.org/10.5802/afst.1511
• Allahverdi, N., Pozo, A., & Zuazua, E. (2016). Numerical aspects of large-time optimal control of Burgers equation. ESAIM, Math. Model. Numer. Anal., 50(5), 1371--1401. https://doi.org/10.1051/m2an/2015076
• Fernández-Cara, E., Lü, Q., & Zuazua, E. (2016). Null controllability of linear heat and wave equations with nonlocal spatial terms. SIAM J. Control Optim., 54(4), 2009--2019. https://doi.org/10.1137/15M1044291
• Lü, Q. & Zuazua, E. (2016). On the lack of controllability of fractional in time ODE and PDE. Math. Control Signals Syst., 28(2), 21. https://doi.org/10.1007/s00498-016-0162-9
• Allahverdi, N., Pozo, A., & Zuazua, E. (2016). Numerical aspects of sonic-boom minimization. A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14--17, 2014. https://doi.org/10.1090/conm/658/13133
• Biccari, U. & Zuazua, E. (2016). Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. J. Differ. Equations, 261(5), 2809--2853. https://doi.org/10.1016/j.jde.2016.05.019
• Zuazua, E. (2016). Stable observation of additive superpositions of partial differential equations. Syst. Control Lett., 93, 21--29. https://doi.org/10.1016/j.sysconle.2016.02.017
• Privat, Y., Trélat, E., & Zuazua, E. (2016). Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. J. Eur. Math. Soc. (JEMS), 18(5), 1043--1111. https://doi.org/10.4171/JEMS/608
• Lecaros, R. & Zuazua, E. (2016). Control of 2D scalar conservation laws in the presence of shocks. Math. Comput., 85(299), 1183--1224. https://doi.org/10.1090/mcom/3015
• Gugat, M., Trélat, E., & Zuazua, E. (2016). Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Syst. Control Lett., 90, 61--70. https://doi.org/10.1016/j.sysconle.2016.02.001
• Lü, Q. & Zuazua, E. (2016). Averaged controllability for random evolution Partial Differential Equations. J. Math. Pures Appl. (9), 105(3), 367--414. https://doi.org/10.1016/j.matpur.2015.11.004

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2015

• Privat, Y., Trélat, E., & Zuazua, E. (2015). Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Discrete Contin. Dyn. Syst., 35(12), 6133--6153. https://doi.org/10.3934/dcds.2015.35.6133
• Nersisyan, H., Dutykh, D., & Zuazua, E. (2015). Generation of 2D water waves by moving bottom disturbances. IMA J. Appl. Math., 80(4), 1235--1253. https://doi.org/10.1093/imamat/hxu051
• Marica, A. & Zuazua, E. (2015). Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. Found. Comput. Math., 15(6), 1571--1636. https://doi.org/10.1007/s10208-014-9232-x
• Casas, E., Vexler, B., & Zuazua, E. (2015). Sparse initial data identification for parabolic PDE and its finite element approximations. Math. Control Relat. Fields, 5(3), 377--399. https://doi.org/10.3934/mcrf.2015.5.377
• Ervedoza, S. & Zuazua, E. (2015). Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Numer. Math., 130(3), 425--466. https://doi.org/10.1007/s00211-014-0668-3
• Fanelli, F. & Zuazua, E. (2015). Weak observability estimates for 1-D wave equations with rough coefficients. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 32(2), 245--277. https://doi.org/10.1016/j.anihpc.2013.10.004
• Privat, Y., Trélat, E., & Zuazua, E. (2015). Optimal shape and location of sensors for parabolic equations with random initial data. Arch. Ration. Mech. Anal., 216(3), 921--981. https://doi.org/10.1007/s00205-014-0823-0
• Ignat, L. I., Pozo, A., & Zuazua, E. (2015). Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Math. Comput., 84(294), 1633--1662. https://doi.org/10.1090/S0025-5718-2014-02915-3
• Lescarret, V. & Zuazua, E. (2015). Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Math. Comput., 84(291), 119--152. https://doi.org/10.1090/S0025-5718-2014-02887-1
• Trélat, E. & Zuazua, E. (2015). The turnpike property in finite-dimensional nonlinear optimal control. J. Differ. Equations, 258(1), 81--114. https://doi.org/10.1016/j.jde.2014.09.005

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2014

• Lecaros, R. & Zuazua, E. (2014). Tracking control of 1D scalar conservation laws in the presence of shocks. Trends in contemporary mathematics. Selected talks based on the presentations at the INdAM day, June 18, 2014. https://doi.org/10.1007/978-3-319-05254-0_15
• Marica, A. & Zuazua, E. (2014). Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach. Optimization with PDE constraints. ESF networking program `OPTPDE'. https://doi.org/10.1007/978-3-319-08025-3_9
• Zuazua, E. (2014). Averaged control. Automatica, 50(12), 3077--3087. https://doi.org/10.1016/j.automatica.2014.10.054
• Lü, Q. & Zuazua, E. (2014). Robust null controllability for heat equations with unknown switching control mode. Discrete Contin. Dyn. Syst., 34(10), 4183--4210. https://doi.org/10.3934/dcds.2014.34.4183
• Lazar, M. & Zuazua, E. (2014). Averaged control and observation of parameter-depending wave equations. C. R., Math., Acad. Sci. Paris, 352(6), 497--502. https://doi.org/10.1016/j.crma.2014.04.007
• DeVore, R. & Zuazua, E. (2014). Recovery of an initial temperature from discrete sampling. Math. Models Methods Appl. Sci., 24(12), 2487--2501. https://doi.org/10.1142/S0218202514500262
• Chaves-Silva, F. W., Rosier, L., & Zuazua, E. (2014). Null controllability of a system of viscoelasticity with a moving control. J. Math. Pures Appl. (9), 101(2), 198--222. https://doi.org/10.1016/j.matpur.2013.05.009
• Marica, A. & Zuazua, E. (2014). Symmetric discontinuous Galerkin methods for 1-D waves. Fourier analysis, propagation, observability and applications. New York, NY: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics. https://doi.org/10.1007/978-1-4614-5811-1

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2013

• Privat, Y., Trélat, E., & Zuazua, E. (2013). Optimal observation of the one-dimensional wave equation. J. Fourier Anal. Appl., 19(3), 514--544. https://doi.org/10.1007/s00041-013-9267-4
• Privat, Y., Trélat, E., & Zuazua, E. (2013). Optimal location of controllers for the one-dimensional wave equation. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 30(6), 1097--1126. https://doi.org/10.1016/j.anihpc.2012.11.005
• Porretta, A. & Zuazua, E. (2013). Long time versus steady state optimal control. SIAM J. Control Optim., 51(6), 4242--4273. https://doi.org/10.1137/130907239
• Cazacu, C. & Zuazua, E. (2013). Improved multipolar Hardy inequalities. Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. https://doi.org/10.1007/978-1-4614-6348-1_3
• Marica, A. & Zuazua, E. (2013). On the quadratic finite element approximation of 1D waves: propagation, observation, control, and numerical implementation. The Courant--Friedrichs--Lewy (CFL) condition. 80 years after its discovery. Papers based on the presentations at the meeting, Rio de Janeiro, Brazil, May 3--7, 2010. https://doi.org/10.1007/978-0-8176-8394-8_6
• Casas, E. & Zuazua, E. (2013). Spike controls for elliptic and parabolic PDEs. Syst. Control Lett., 62(4), 311--318. https://doi.org/10.1016/j.sysconle.2013.01.001
• Ersoy, M., Feireisl, E., & Zuazua, E. (2013). Sensitivity analysis of \(1-d\) steady forced scalar conservation laws. J. Differ. Equations, 254(9), 3817--3834. https://doi.org/10.1016/j.jde.2013.01.041
• Ignat, L. I. & Zuazua, E. (2013). Asymptotic expansions for anisotropic heat kernels. J. Evol. Equ., 13(1), 1--20. https://doi.org/10.1007/s00028-012-0166-y
• Cazenave, T., Escobedo, M., & Zuazua, E. (2013). Blowup for a time-oscillating nonlinear heat equation. Acta Math. Univ. Comen., New Ser., 82(1), 125--146.
• Ervedoza, S. & Zuazua, E. (2013). Numerical approximation of exact controls for waves. New York, NY: Springer. https://doi.org/10.1007/978-1-4614-5808-1

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2012

• Zuazua, E. (2012). A remark on the observability of conservative linear systems. Multi-scale and high-contrast PDE. From modelling, to mathematical analysis, to inversion. Proceedings of the conference, University of Oxford, UK, June 28 -- July 1, 2011. https://doi.org/10.1090/conm/577/11462
• Wang, G. & Zuazua, E. (2012). On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. SIAM J. Control Optim., 50(5), 2938--2958. https://doi.org/10.1137/110857398
• Marica, A. & Zuazua, E. (2012). On the quadratic finite element approximation of one-dimensional waves: propagation, observation, and control. SIAM J. Numer. Anal., 50(5), 2744--2777. https://doi.org/10.1137/110839503
• Ignat, L. I. & Zuazua, E. (2012). Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations. J. Math. Pures Appl. (9), 98(5), 479--517. https://doi.org/10.1016/j.matpur.2012.01.001
• Arrieta, J. M., López-Fernández, M., & Zuazua, E. (2012). Approximating travelling waves by equilibria of non-local equations. Asymptotic Anal., 78(3), 145--186.
• Porretta, A. & Zuazua, E. (2012). Null controllability of viscous Hamilton-Jacobi equations. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 29(3), 301--333. https://doi.org/10.1016/j.anihpc.2011.11.002

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2011

• Ervedoza, S. & Zuazua, E. (2011). Sharp observability estimates for heat equations. Arch. Ration. Mech. Anal., 202(3), 975--1017. https://doi.org/10.1007/s00205-011-0445-8
• Casado-Díaz, J., Castro, C., Luna-Laynez, M., & Zuazua, E. (2011). Numerical approximation of a one-dimensional elliptic optimal design problem. Multiscale Model. Simul., 9(3), 1181--1216. https://doi.org/10.1137/10081928X
• Ervedoza, S. & Zuazua, E. (2011). Observability of heat processes by transmutation without geometric restrictions. Math. Control Relat. Fields, 1(2), 177--187. https://doi.org/10.3934/mcrf.2011.1.177
• Castro, C. & Zuazua, E. (2011). Flux identification for 1-d scalar conservation laws in the presence of shocks. Math. Comput., 80(276), 2025--2070. https://doi.org/10.1090/S0025-5718-2011-02465-8
• Beauchard, K. & Zuazua, E. (2011). Large time asymptotics for partially dissipative hyperbolic systems. Arch. Ration. Mech. Anal., 199(1), 177--227. https://doi.org/10.1007/s00205-010-0321-y
• Arrieta, J. M., López-Fernández, M., & Zuazua, E. (2011). On a nonlocal moving frame approximation of traveling waves. C. R., Math., Acad. Sci. Paris, 349(13-14), 753--758. https://doi.org/10.1016/j.crma.2011.07.001
• Micu, S. & Zuazua, E. (2011). On the regularity of null-controls of the linear 1-d heat equation. C. R., Math., Acad. Sci. Paris, 349(11-12), 673--677. https://doi.org/10.1016/j.crma.2011.05.005
• Micu, S. & Zuazua, E. (2011). Regularity issues for the null-controllability of the linear 1-d heat equation. Syst. Control Lett., 60(6), 406--413. https://doi.org/10.1016/j.sysconle.2011.03.005
• Krej\vci\vrík, D. & Zuazua, E. (2011). The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. J. Differ. Equations, 250(5), 2334--2346. https://doi.org/10.1016/j.jde.2010.11.005
• Marica, A. & Zuazua, E. (2011). High frequency wave packets for the Schrödinger equation and its numerical approximations. C. R., Math., Acad. Sci. Paris, 349(1-2), 105--110. https://doi.org/10.1016/j.crma.2010.11.009
• Zuazua, E. (2011). Switching control. J. Eur. Math. Soc. (JEMS), 13(1), 85--117. https://doi.org/10.4171/JEMS/245

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2010

• Ervedoza, S. & Zuazua, E. (2010). A systematic method for building smooth controls for smooth data. Discrete Contin. Dyn. Syst., Ser. B, 14(4), 1375--1401. https://doi.org/10.3934/dcdsb.2010.14.1375
• Marica, A. & Zuazua, E. (2010). Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the \(1-d\) wave equation. C. R., Math., Acad. Sci. Paris, 348(19-20), 1087--1092. https://doi.org/10.1016/j.crma.2010.09.012
• Araruna, F. D., Braz e Silva, P., & Zuazua, E. (2010). Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system. J. Syst. Sci. Complex., 23(3), 414--430. https://doi.org/10.1007/s11424-010-0137-8
• Krej\vci\vrík, D. & Zuazua, E. (2010). The Hardy inequality and the heat equation in twisted tubes. J. Math. Pures Appl. (9), 94(3), 277--303. https://doi.org/10.1016/j.matpur.2010.02.006
• Münch, A. & Zuazua, E. (2010). Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Inverse Probl., 26(8), 39. https://doi.org/10.1088/0266-5611/26/8/085018
• Araruna, F. D., Braz e Silva, P., & Zuazua, E. (2010). Asymptotics and stabilization for dynamic models of nonlinear beams. Proc. Est. Acad. Sci., 59(2), 150--155. https://doi.org/10.3176/proc.2010.2.14
• Marica, A. & Zuazua, E. (2010). Localized solutions for the finite difference semi-discretization of the wave equation. C. R., Math., Acad. Sci. Paris, 348(11-12), 647--652. https://doi.org/10.1016/j.crma.2010.03.020
• Castro, C., Palacios, F., & Zuazua, E. (2010). Optimal control and vanishing viscosity for the Burgers equation. Integral methods in science and engineering. Volume 2: Computational methods. Selected papers based on the presentations at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7--10, 2008..
• Zhang, X., Zheng, C., & Zuazua, E. (2010). Exact controllability of the time discrete wave equation: a multiplier approach. Applied and numerical partial differential equations. Scientific computing in simulation, optimization and control in a multidisciplinary context. https://doi.org/10.1007/978-90-481-3239-3_17

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2009

• Vancostenoble, J. & Zuazua, E. (2009). Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. SIAM J. Math. Anal., 41(4), 1508--1532. https://doi.org/10.1137/080731396
• Ervedoza, S. & Zuazua, E. (2009). Uniform exponential decay for viscous damped systems. Advances in phase space analysis of partial differential equations. In Honor of Ferruccio Colombini's 60th birthday. Selected papers based on the workshop, Siena, Italy, October 2007. https://doi.org/10.1007/978-0-8176-4861-9_6
• Valein, J. & Zuazua, E. (2009). Stabilization of the wave equation on 1-d networks. SIAM J. Control Optim., 48(4), 2771--2797. https://doi.org/10.1137/080733590
• Ignat, L. I. & Zuazua, E. (2009). Numerical dispersive schemes for the nonlinear Schrödinger equation. SIAM J. Numer. Anal., 47(2), 1366--1390. https://doi.org/10.1137/070683787
• Beauchard, K. & Zuazua, E. (2009). Some controllability results for the 2D Kolmogorov equation. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 26(5), 1793--1815. https://doi.org/10.1016/j.anihpc.2008.12.005
• Ignat, L. I. & Zuazua, E. (2009). Convergence of a two-grid algorithm for the control of the wave equation. J. Eur. Math. Soc. (JEMS), 11(2), 351--391. https://doi.org/10.4171/JEMS/153
• Zhang, X., Zheng, C., & Zuazua, E. (2009). Time discrete wave equations: boundary observability and control. Discrete Contin. Dyn. Syst., 23(1-2), 571--604. https://doi.org/10.3934/dcds.2009.23.571
• Ervedoza, S. & Zuazua, E. (2009). Uniformly exponentially stable approximations for a class of damped systems. J. Math. Pures Appl. (9), 91(1), 20--48. https://doi.org/10.1016/j.matpur.2008.09.002
• De Teresa, L. & Zuazua, E. (2009). Identification of the class of initial data for the insensitizing control of the heat equation. Commun. Pure Appl. Anal., 8(1), 457--471. https://doi.org/10.3934/cpaa.2009.8.457

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2008

• Araruna, F. D. & Zuazua, E. (2008). Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system. SIAM J. Control Optim., 47(4), 1909--1938. https://doi.org/10.1137/060659934
• Castro, C., Palacios, F., & Zuazua, E. (2008). An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks. Math. Models Methods Appl. Sci., 18(3), 369--416. https://doi.org/10.1142/S0218202508002723
• Ervedoza, S. & Zuazua, E. (2008). Perfectly matched layers in 1-D: Energy decay for continuous and semi-discrete waves. Numer. Math., 109(4), 597--634. https://doi.org/10.1007/s00211-008-0153-y
• Ervedoza, S., Zheng, C., & Zuazua, E. (2008). On the observability of time-discrete conservative linear systems. J. Funct. Anal., 254(12), 3037--3078. https://doi.org/10.1016/j.jfa.2008.03.005
• Vancostenoble, J. & Zuazua, E. (2008). Null controllability for the heat equation with singular inverse-square potentials. J. Funct. Anal., 254(7), 1864--1902. https://doi.org/10.1016/j.jfa.2007.12.015
• Zhang, X. & Zuazua, E. (2008). On the optimality of the observability inequalities for Kirchhoff plate systems with potentials in unbounded domains. Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006.
• Duyckaerts, T., Zhang, X., & Zuazua, E. (2008). On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 25(1), 1--41. https://doi.org/10.1016/j.anihpc.2006.07.005

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2007

• Zuazua, E. (2007). Controllability and observability of partial differential equations: some results and open problems. Handbook of differential equations: Evolutionary equations. Vol. III.
• Zuazua, E. (2007). On the numerical approximation of the Helmholtz equations. Mat. Contemp., 32, 253--286.
• Castro, C. & Zuazua, E. (2007). Addendum to ``Concentration and lack of observability of waves in highly heterogeneous media''. Arch. Ration. Mech. Anal., 185(3), 365--377. https://doi.org/10.1007/s00205-006-0037-1
• Zhang, X. & Zuazua, E. (2007). Asymptotic behavior of a hyperbolic-parabolic coupled system arising in fluid-structure inter\-action. Free boundary problems. Theory and applications. Based on the lectures and communications presented at the free boundary problems conference (FBP 2005), Coimbra, Portugal, June 7--12, 2005.
• Tebou, L. T. & Zuazua, E. (2007). Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Adv. Comput. Math., 26(1-3), 337--365. https://doi.org/10.1007/s10444-004-7629-9
• Zhang, X. & Zuazua, E. (2007). Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Arch. Ration. Mech. Anal., 184(1), 49--120. https://doi.org/10.1007/s00205-006-0020-x

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2006

• Zhang, X. & Zuazua, E. (2006). A sharp observability inequality for Kirchhoff plate systems with potentials. Comput. Appl. Math., 25(2-3), 353--373.
• Fu, X., Zhang, X., & Zuazua, E. (2006). On the optimality of some observability inequalities for plate systems with potentials. Phase space analysis of partial differential equations.
• Cea, M. & Zuazua, E. (2006). Finite element approximation of 2D parabolic optimal design problems. Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18--22, 2005..
• Micu, S. & Zuazua, E. (2006). On the controllability of fractional order parabolic equation. SIAM J. Control Optim., 44(6), 1950--1972. https://doi.org/10.1137/S036301290444263X
• Ignat, L. I. & Zuazua, E. (2006). Dispersive properties of numerical schemes for nonlinear Schrödinger equations. Foundations of computational mathematics, Santander 2005. Selected papers based on the presentations at the international conference of the Foundations of Computational Mathematics (FoCM), Santander, Spain, June 30 -- July 9, 2005..
• Koch, H. & Zuazua, E. (2006). A hybrid system of PDE's arising in multi-structure interaction: coupling of wave equations in \(n\) and \(n-1\) space dimensions. Recent trends in partial differential equations. UIMP-RSME Santaló summer school, Santander, Spain, July 12--16, 2004.
• Orive, R. & Zuazua, E. (2006). Long-time behavior of solutions to a nonlinear hyperbolic relaxation system. J. Differ. Equations, 228(1), 17--38. https://doi.org/10.1016/j.jde.2006.04.014
• Zuazua, E. (2006). Control and numerical approximation of the wave and heat equations. Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures.
• Vázquez, J. L. & Zuazua, E. (2006). Lack of collision in a simplified 1D model for fluid-solid interaction. Math. Models Methods Appl. Sci., 16(5), 637--678. https://doi.org/10.1142/S0218202506001303
• Negreanu, M. & Zuazua, E. (2006). Discrete Ingham inequalities and applications. SIAM J. Numer. Anal., 44(1), 412--448. https://doi.org/10.1137/050630015
• Chenais, D. & Zuazua, E. (2006). Finite-element approximation of 2D elliptic optimal design. J. Math. Pures Appl. (9), 85(2), 225--249. https://doi.org/10.1016/j.matpur.2005.05.001
• Dáger, R. & Zuazua, E. (2006). Wave propagation, observation and control in 1-\(d\) flexible multi-structures.. Berlin: Springer. https://doi.org/10.1007/3-540-37726-3

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2005

• Micu, S. & Zuazua, E. (2005). An introduction to the controllability of partial differential equations. Contrôle non linéaire et applications. Cours de l'école d'été du CIMPA de l'Université de Tlemcen, Algérie. Préface de Jean-Michel Coron..
• Ignat, L. I. & Zuazua, E. (2005). A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence. C. R., Math., Acad. Sci. Paris, 341(6), 381--386. https://doi.org/10.1016/j.crma.2005.07.018
• Orive, R. & Zuazua, E. (2005). Finite difference approximation of homogenization problems for elliptic equations. Multiscale Model. Simul., 4(1), 36--87. https://doi.org/10.1137/040606314
• Zuazua, E. (2005). Propagation, observation, and control of waves approximated by finite difference methods. SIAM Rev., 47(2), 197--243. https://doi.org/10.1137/S0036144503432862
• Rauch, J., Zhang, X., & Zuazua, E. (2005). Polynomial decay for a hyperbolic-parabolic coupled system. J. Math. Pures Appl. (9), 84(4), 407--470. https://doi.org/10.1016/j.matpur.2004.09.006
• Munnier, A. & Zuazua, E. (2005). Large time behavior for a simplified \(N\)-dimensional model of fluid-solid interaction. Commun. Partial Differ. Equations, 30(3), 377--417. https://doi.org/10.1081/PDE-200050080
• Ignat, L. I. & Zuazua, E. (2005). Dispersive properties of a viscous numerical scheme for the Schrödinger equation. C. R., Math., Acad. Sci. Paris, 340(7), 529--534. https://doi.org/10.1016/j.crma.2005.02.024
• Castro, C. & Zuazua, E. (2005). Unique continuation and control for the heat equation from an oscillating lower dimensional manifold. SIAM J. Control Optim., 43(4), 1400--1434. https://doi.org/10.1137/S0363012903430317

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2004

• Fernández-Cara, E. & Zuazua, E. (2004). On the history and perspectives of control theory. Matapli, 74, 47--73.
• Zuazua, E. (2004). Round Table: A compromise between collaboration in research and cooperation programs. Análisis y perspectivas de la colaboración Latinoamericana en matemáticas. Encuentro de Sociedades Latinoamericanas de Matemáticas, Santiago de Compostela, Spain, 22--25 septiembre de 2003.
• de León, M. & Zuazua, E. (2004). Applied mathematics in Spain: present and future. Gac. R. Soc. Mat. Esp., 7(3), 665--677.
• Zuazua, E. (2004). Optimal and approximate control of finite-difference approximation schemes for the 1D wave equation. Rend. Mat. Appl., VII. Ser., 24(2), 201--237.
• Zhang, X. & Zuazua, E. (2004). Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. J. Differ. Equations, 204(2), 380--438. https://doi.org/10.1016/j.jde.2004.02.004
• Chenais, D. & Zuazua, E. (2004). Finite element approximation on elliptic singular optimal design.. C. R., Math., Acad. Sci. Paris, 338(9), 729--734. https://doi.org/10.1016/j.crma.2004.02.003
• Negreanu, M. & Zuazua, E. (2004). Discrete Ingham inequalities and applications.. C. R., Math., Acad. Sci. Paris, 338(4), 281--286. https://doi.org/10.1016/j.crma.2003.11.033
• Negreanu, M. & Zuazua, E. (2004). Convergence of a multigrid method for the controllability of a 1-D wave equation.. C. R., Math., Acad. Sci. Paris, 338(5), 413--418. https://doi.org/10.1016/j.crma.2003.11.032

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2003

• Negreanu, M. & Zuazua, E. (2003). Uniform boundary controllability of a discrete 1-D wave equation. Syst. Control Lett., 48(3-4), 261--279. https://doi.org/10.1016/S0167-6911(02)00271-2
• Rodríguez del Río, R. & Zuazua, E. (2003). Fourier series and Gibbs phenomenon. Cubo Mat. Educ., 5(2), 185--224.
• Perla Menzala, G. & Zuazua, E. (2003). The energy decay rate for the modified von Kármán system of thermoelastic plates: An improvement. Appl. Math. Lett., 16(4), 531--534. https://doi.org/10.1016/S0893-9659(03)00032-6
• Castro, C. & Zuazua, E. (2003). Some topics on the control and homogenization of parabolic partial differential equations. Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18--22 and 23--27, 2001.
• Negreanu, M. & Zuazua, E. (2003). A 2-grid algorithm for the 1-d wave equation. Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June -- 4 July 2003.
• Dehman, B., Lebeau, G., & Zuazua, E. (2003). Stabilization and control for the subcritical semilinear wave equation.. Ann. Sci. Éc. Norm. Supér. (4), 36(4), 525--551. https://doi.org/10.1016/S0012-9593(03)00021-1
• Tcheugoué Tébou, L. R. & Zuazua, E. (2003). Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Numer. Math., 95(3), 563--598. https://doi.org/10.1007/s00211-002-0442-9
• Ortega, J. H. & Zuazua, E. (2003). On a constrained approximate controllability problem for the heat equation: addendum. J. Optim. Theory Appl., 118(1), 183--190. https://doi.org/10.1023/A:1024747710420
• Zhang, X. & Zuazua, E. (2003). Polynomial decay and control of a 1-d model for fluid-structure interaction.. C. R., Math., Acad. Sci. Paris, 336(9), 745--750. https://doi.org/10.1016/S1631-073X(03)00169-9
• Zhang, X. & Zuazua, E. (2003). Control, observation and polynomial decay for a coupled heat-wave system. C. R., Math., Acad. Sci. Paris, 336(10), 823--828. https://doi.org/10.1016/S1631-073X(03)00204-8
• Vázquez, J. L. & Zuazua, E. (2003). Large-time behavior for a simplified 1D model of fluid-solid interaction. Commun. Partial Differ. Equations, 28(9-10), 1705--1738. https://doi.org/10.1081/PDE-120024530
• Chenais, D. & Zuazua, E. (2003). Controllability of an elliptic equation and its finite difference approximation by the shape of the domain. Numer. Math., 95(1), 63--99. https://doi.org/10.1007/s00211-002-0443-8
• Zhang, X. & Zuazua, E. (2003). Unique continuation for the linearized Benjamin-Bona-Mahony equation with space-dependent potential. Math. Ann., 325(3), 543--582. https://doi.org/10.1007/s00208-002-0391-8
• Zhang, X. & Zuazua, E. (2003). Decay of solutions of the system of thermoelasticity of type III.. Commun. Contemp. Math., 5(1), 25--83. https://doi.org/10.1142/S0219199703000896

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2002

• Zuazua, E. (2002). Jacques-Louis Lions forever. Gac. R. Soc. Mat. Esp., 5(2), 323--329.
• Fernández-Cara, E. & Zuazua, E. (2002). On the null controllability of the one-dimensional heat equation with BV coefficients. Comput. Appl. Math., 21(1), 167--190.
• Fernández-Cara, E. & Zuazua, E. (2002). Control of weakly blowing up semilinear heat equations. Nonlinear PDEs in condensed matter and reactive flows. Proceedings of the NATO Advanced Study Institute on PDE's in models of superfluidity, superconductivity and reactive flows, Cargèse, France, 21 June -- 3 July 1999. https://doi.org/10.1007/978-94-010-0307-0_6
• Zhang, X. & Zuazua, E. (2002). The linearized Benjamin-Bona-Mahony equation: A spectral approach to unique continuation. Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10--14, 2001.
• Perla Menzala, G. & Zuazua, E. (2002). A singular limit of the dynamic Marguerre-Vlasov nonlinear equations of shallow shells. Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10--14, 2001.
• Límaco, J., Medeiros, L. A., & Zuazua, E. (2002). Existence, uniqueness and controllability for parabolic equations in non-cylindrical domains.. Mat. Contemp., 23, 49--70.
• Perla Menzala, G., Vasconcellos, C. F., & Zuazua, E. (2002). Stabilization of the Korteweg-de Vries equation with localized damping.. Q. Appl. Math., 60(1), 111--129. https://doi.org/10.1090/qam/1878262
• Perla Menzala, G., Pazoto, A. F., & Zuazua, E. (2002). Stabilization of Berger-Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates.. M2AN, Math. Model. Numer. Anal., 36(4), 657--691. https://doi.org/10.1051/m2an:2002029
• León, L. & Zuazua, E. (2002). Boundary controllability of the finite-difference space semi-discretizations of the beam equation.. ESAIM, Control Optim. Calc. Var., 8, 827--862. https://doi.org/10.1051/cocv:2002025
• Macià, F. & Zuazua, E. (2002). On the lack of observability for wave equations: a Gaussian beam approach. Asymptotic Anal., 32(1), 1--26.
• Doubova, A., Fernández-Cara, E., González-Burgos, M., & Zuazua, E. (2002). On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. SIAM J. Control Optim., 41(3), 798--819. https://doi.org/10.1137/S0363012901386465
• Prado, R. & Zuazua, E. (2002). Asymptotic expansion for the generalized Benjamin-Bona-Mahony-Burgers equation. Differ. Integral Equ., 15(12), 1409--1434.
• Castro, C. & Zuazua, E. (2002). Concentration and lack of observability of waves in highly heterogeneous media. Arch. Ration. Mech. Anal., 164(1), 39--72. https://doi.org/10.1007/s002050200202
• López, A. & Zuazua, E. (2002). Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating periodic density. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 19(5), 543--580. https://doi.org/10.1016/S0294-1449(01)00092-0
• Vázquez, J. L. & Zuazua, E. (2002). Complexity of large time behaviour of evolution equations with bounded data. Chin. Ann. Math., Ser. B, 23(2), 293--310. https://doi.org/10.1142/S0252959902000274
• Zuazua, E. (2002). Log-Lipschitz regularity and uniqueness of the flow for a field in \((W_\textloc^n/p+1,p(\mathbbR^n))^n\). C. R., Math., Acad. Sci. Paris, 335(1), 17--22. https://doi.org/10.1016/S1631-073X(02)02426-3
• Dáger, R. & Zuazua, E. (2002). Spectral boundary controllability of networks of strings. C. R., Math., Acad. Sci. Paris, 334(7), 545--550. https://doi.org/10.1016/S1631-073X(02)02314-2
• Zuazua, E. (2002). Controllability of partial differential equations and its semi-discrete approximations. Discrete Contin. Dyn. Syst., 8(2), 469--513. https://doi.org/10.3934/dcds.2002.8.469

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2001

• Zuazua, E. (2001). Null control of a 1-d model of mixed hyperbolic-parabolic type. Optimal control and partial differential equations. In honour of Professor Alain Bensoussan's 60th birthday. Proceedings of the conference, Paris, France, December 4, 2000.
• Lui, W. & Zuazua, E. (2001). Uniform stabilization of the higher-dimensional system of thermoelasticity with a nonlinear boundary feedback. Q. Appl. Math., 59(2), 269--314. https://doi.org/10.1090/qam/1828455
• Orive, R., Zuazua, E., & Pazoto, A. F. (2001). Asymptotic expansion for damped wave equations with periodic coefficients. Math. Models Methods Appl. Sci., 11(7), 1285--1310. https://doi.org/10.1142/S0218202501001331
• Cabanillas, V. R., De Menezes, S. B., & Zuazua, E. (2001). Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. J. Optim. Theory Appl., 110(2), 245--264. https://doi.org/10.1023/A:1017515027783
• Perla Menzala, G. & Zuazua, E. (2001). On a one-dimensional version of the dynamical Marguerre-Vlasov system.. Bol. Soc. Bras. Mat., Nova Sér., 32(3), 303--319. https://doi.org/10.1007/BF01233669
• Ortega, J. H. & Zuazua, E. (2001). Generic simplicity of the eigenvalues of the Stokes system in two space dimensions.. Adv. Differ. Equ., 6(8), 987--1023.
• Micu, S. & Zuazua, E. (2001). On the lack of null-controllability of the heat equation on the half space. Port. Math. (N.S.), 58(1), 1--24.
• Zuazua, E. (2001). Some results and open problems on the controllability of linear and semilinear heat equations. Carleman estimates and applications to uniqueness and control theory.
• Dáger, R. & Zuazua, E. (2001). Controllability of tree-shaped networks of vibrating strings. C. R. Acad. Sci., Paris, Sér. I, Math., 332(12), 1087--1092. https://doi.org/10.1016/S0764-4442(01)01942-5
• Dáger, R. & Zuazua, E. (2001). Controllability of star-shaped networks of strings. C. R. Acad. Sci., Paris, Sér. I, Math., 332(7), 621--626. https://doi.org/10.1016/S0764-4442(01)01876-6
• Rodríguez-Bernal, A. & Zuazua, E. (2001). Parabolic singular limit of a wave equation with localized interior damping. Commun. Contemp. Math., 3(2), 215--257. https://doi.org/10.1142/S0219199701000330
• Ortega, J. H. & Zuazua, E. (2001). On a constrained approximate controllability problem for the heat equation. J. Optim. Theory Appl., 108(1), 29--64. https://doi.org/10.1023/A:1026409821088
• Ortega, J. H. & Zuazua, E. (2001). Generic simplicity of the spectrum and stabilization for a plate equation. SIAM J. Control Optim., 39(5), 1585--1614. https://doi.org/10.1137/S0363012900358483
• Micu, S. & Zuazua, E. (2001). On the lack of null-controllability of the heat equation on the half-line. Trans. Am. Math. Soc., 353(4), 1635--1659. https://doi.org/10.1090/S0002-9947-00-02665-9

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2000

• Fernández-Cara, E. & Zuazua, E. (2000). The cost of approximate controllability for heat equations: The linear case. Adv. Differ. Equ., 5(4-6), 465--514.
• de Teresa, L. & Zuazua, E. (2000). Null controllability of linear and semilinear heat equations in thin domains. Asymptotic Anal., 24(3-4), 295--317.
• Castro, C. & Zuazua, E. (2000). High frequency asymptotic analysis of a string with rapidly oscillating density. Eur. J. Appl. Math., 11(6), 595--622. https://doi.org/10.1017/S0956792500004307
• Castro, C. & Zuazua, E. (2000). Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass. Math. Comput. Modelling, 32(9), 955--969. https://doi.org/10.1016/S0895-7177(00)00182-5
• López, A., Zhang, X., & Zuazua, E. (2000). Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. J. Math. Pures Appl. (9), 79(8), 741--808. https://doi.org/10.1016/S0021-7824(99)00144-0
• Fernández-Cara, E. & Zuazua, E. (2000). Null and approximate controllability for weakly blowing up semilinear heat equations. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 17(5), 583--616. https://doi.org/10.1016/S0294-1449(00)00117-7
• Duro, G. & Zuazua, E. (2000). Large time behavior for convection-diffusion equations in \(\mathbbR^N\) with periodic coefficients. J. Differ. Equations, 167(2), 275--315. https://doi.org/10.1006/jdeq.2000.3796
• Maciá, F. & Zuazua, E. (2000). Some applications of Gaussian beams to the controllability of waves. Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000.
• Dáger, R. & Zuazua, E. (2000). Controllability of star-shaped networks of strings. Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000.
• Zuazua, E. (2000). Wave propagation and the control of vibrations. Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000.
• Castro, C. & Zuazua, E. (2000). Low frequency asymptotic analysis of a string with rapidly oscillating density. SIAM J. Appl. Math., 60(4), 1205--1233. https://doi.org/10.1137/S0036139997330635
• Perla Menzala, G. & Zuazua, E. (2000). Timoshenko's beam equation as limit of a nonlinear one-dimensional von Kármán system. Proc. R. Soc. Edinb., Sect. A, Math., 130(4), 855--875. https://doi.org/10.1017/S0308210500000470
• Leugering, G. & Zuazua, E. (2000). On exact controllability of generic trees. ESAIM, Proc., 8, 95--105. https://doi.org/10.1051/proc:2000007
• Perla Menzala, G. & Zuazua, E. (2000). Timoshenko's plate equation as a singular limit of the dynamical von Kármán system. J. Math. Pures Appl. (9), 79(1), 73--94. https://doi.org/10.1016/S0021-7824(00)00149-5
• Vazquez, J. L. & Zuazua, E. (2000). The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. J. Funct. Anal., 173(1), 103--153. https://doi.org/10.1006/jfan.1999.3556
• Ortega, J. H. & Zuazua, E. (2000). Large time behavior in \(\mathbbR^N\) for linear parabolic equations with periodic coefficients. Asymptotic Anal., 22(1), 51--85.
• Fernández-Cara, E. & Zuazua, E. (2000). Controllability for blowing up semilinear parabolic equations. C. R. Acad. Sci., Paris, Sér. I, Math., 330(3), 199--204. https://doi.org/10.1016/S0764-4442(00)00115-4

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1999

• Zuazua, E. (1999). Observability of 1-D waves in heterogeneous and semi-discrete media. Advances in structural control.
• Zuazua, E. (1999). Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Control Cybern., 28(3), 665--683.
• Escobedo, M. & Zuazua, E. (1999). Long-time behaviour of diffusion waves for a viscous system of conservation laws in \(\mathbbR^N\). Asymptotic Anal., 20(2), 133--173.
• Liu, W. & Zuazua, E. (1999). Decay rates for dissipative wave equations. Ric. Mat., 48, 61--75.
• Perla Menzala, G. & Zuazua, E. (1999). The beam equation as a limit of a 1-D nonlinear von Kármán model. Appl. Math. Lett., 12(1), 47--52. https://doi.org/10.1016/S0893-9659(98)00125-6
• Sweers, G. & Zuazua, E. (1999). On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system. J. Elasticity, 52(2), 111--120. https://doi.org/10.1023/A:1007524411396
• Lebeau, G. & Zuazua, E. (1999). Decay rates for the three-dimensional linear system of thermoelasticity. Arch. Ration. Mech. Anal., 148(3), 179--231. https://doi.org/10.1007/s002050050160
• Zuazua, E. (1999). Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. J. Math. Pures Appl. (9), 78(5), 523--563. https://doi.org/10.1016/S0021-7824(98)00008-7
• Duro, G. & Zuazua, E. (1999). Large time behavior for convection-diffusion equations in \(\mathbbR^N\) with asymptotically constant diffusion. Commun. Partial Differ. Equations, 24(7-8), 1283--1340. https://doi.org/10.1080/03605309908821466
• de Teresa, L. & Zuazua, E. (1999). Approximate controllability of a semilinear heat equation in unbounded domains. Nonlinear Anal., Theory Methods Appl., 37(8), 1059--1090. https://doi.org/10.1016/S0362-546X(98)00085-6
• Infante, J. A. & Zuazua, E. (1999). Boundary observability for the space semi-discretizations of the 1-D wave equation. M2AN, Math. Model. Numer. Anal., 33(2), 407--438. https://doi.org/10.1051/m2an:1999123
• Fernández, L. A. & Zuazua, E. (1999). Approximate controllability for the semilinear heat equation involving gradient terms. J. Optim. Theory Appl., 101(2), 307--328. https://doi.org/10.1023/A:1021737526541

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1998

• Lopez, A. & Zuazua, E. (1998). Some new results related to the null controllability of the 1-D heat equation. Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, 1997-1998, ex.
• Zuazua, E. (1998). Uniqueness problems for the Lamé system arising in the control of vibrations. Journées ``Équations aux dérivées partielles'', Saint-Jean-de-Monts, France, 31 mai au 4 juin 1999. Exposés Nos. I--XIX (1999).
• Perla Menzala, G. & Zuazua, E. (1998). Energy decay rates for the von Kármán system of thermoelastic plates. Differ. Integral Equ., 11(5), 755--770.
• Zuazua, E. (1998). Some geometric aspects of the control of partial differential equations. XV Congreso de ecuaciones diferenciales y aplicaciones y congreso de matemática aplicada, Vigo, España, 23--26 Septiembre 1997. Volumen I e II.
• Perla Menzala, G. & Zuazua, E. (1998). Energy decay of magnetoelastic waves in a bounded conductive medium. Asymptotic Anal., 18(3-4), 349--362.
• Lions, J. & Zuazua, E. (1998). Exact boundary controllability of Galerkin's approximations of Navier-Stokes equations. Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser., 26(4), 605--621.
• López, A. & Zuazua, E. (1998). Null controllability of the \(1-d\) heat equation as limit of the controllability of dissipative wave equations. C. R. Acad. Sci., Paris, Sér. I, Math., 327(8), 753--758. https://doi.org/10.1016/S0764-4442(98)80164-X
• Zuazua, E. (1998). Null controllability of the heat equation in thin domains. Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions.
• López, A. & Zuazua, E. (1998). Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating coefficients. C. R. Acad. Sci., Paris, Sér. I, Math., 326(8), 955--960. https://doi.org/10.1016/S0764-4442(98)80121-3
• Infante, J. & Zuazua, E. (1998). Boundary observability for the space-discretizations of the \(1-d\) wave equation. C. R. Acad. Sci., Paris, Sér. I, Math., 326(6), 713--718. https://doi.org/10.1016/S0764-4442(98)80036-0
• Bisognin, E., Bisognin, V., Perla Menzala, G., & Zuazua, E. (1998). On exponential stability for von Kármán equations in the presence of thermal effects. Math. Methods Appl. Sci., 21(5), 393--416. https://doi.org/10.1002/(SICI)1099-1476(19980325)21:5<393::AID-MMA958>3.0.CO;2-J
• Jaffard, S., Tucsnak, M., & Zuazua, E. (1998). Singular internal stabilization of the wave equation. J. Differ. Equations, 145(1), 184--215. https://doi.org/10.1006/jdeq.1997.3385
• Castro, C. & Zuazua, E. (1998). Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass. SIAM J. Control Optim., 36(5), 1576--1595. https://doi.org/10.1137/S0363012997316378
• Zuazua, E. (1998). Some problems and results on the controllability of partial differential equations. European congress of mathematics (ECM), Budapest, Hungary, July 22--26, 1996. Volume II.
• Lebeau, G. & Zuazua, E. (1998). Null-controllability of a system of linear thermoelasticity. Arch. Ration. Mech. Anal., 141(4), 297--329. https://doi.org/10.1007/s002050050078
• Micu, S. & Zuazua, E. (1998). On a weakly damped system arising in the control of noise. Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14--20, 1996.
• Komornik, V., Loreti, P., & Zuazua, E. (1998). On the control of coupled linear systems. Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14--20, 1996.
• Micu, S. & Zuazua, E. (1998). Asymptotics for the spectrum of a fluid/structure hybrid system arising in the control of noise. SIAM J. Math. Anal., 29(4), 967--1001. https://doi.org/10.1137/S0036141096312349

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1997

• Zuazua, E. (1997). Decay rates in thermoelasticity. Shells. Mathematical modelling and scientific computing. Papers from the international conference, Santiago de Compostela, Spain, July 14--18, 1997.
• Zuazua, E. (1997). Approximate controllability of the semilinear heat equation: Boundary control. Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5--7, 1997.
• Castro, C. & Zuazua, E. (1997). A hybrid consisting of two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces. ESAIM, Proc., 2, 17--53. https://doi.org/10.1051/proc:1997022
• Lions, J. & Zuazua, E. (1997). On the cost of controlling unstable systems: The case of boundary controls. J. Anal. Math., 73, 225--249. https://doi.org/10.1007/BF02788145
• Lions, J. & Zuazua, E. (1997). The cost of controlling unstable systems: Time irreversible systems. Rev. Mat. Univ. Complutense Madr., 10(2), 481--523.
• Micu, S. & Zuazua, E. (1997). Boundary controllability of a linear hybrid system arising in the control of noise. SIAM J. Control Optim., 35(5), 1614--1637. https://doi.org/10.1137/S0363012996297972
• Jaffard, S., Tucsnak, M., & Zuazua, E. (1997). On a theorem of Ingham. J. Fourier Anal. Appl., 3(5), 577--582. https://doi.org/10.1007/BF02648885
• Castro, C. & Zuazua, E. (1997). Controllability of the one-dimensional wave equation with rapidly oscillating density. C. R. Acad. Sci., Paris, Sér. I, 324(11), 1237--1242. https://doi.org/10.1016/S0764-4442(99)80406-6
• Lions, J. & Zuazua, E. (1997). Exact controllability of the Galerkin approximations of Navier-Stokes equations. C. R. Acad. Sci., Paris, Sér. I, 324(9), 1015--1021. https://doi.org/10.1016/S0764-4442(97)87878-0
• Lebeau, G. & Zuazua, E. (1997). On the non uniform decay of the energy in the system of linear thermoelasticity. C. R. Acad. Sci., Paris, Sér. I, 324(4), 409--415. https://doi.org/10.1016/S0764-4442(97)80077-8
• Zuazua, E. (1997). Finite dimensional null controllability for the semilinear heat equation. J. Math. Pures Appl. (9), 76(3), 237--264. https://doi.org/10.1016/S0021-7824(97)89951-5
• Perla Menzala, G. & Zuazua, E. (1997). Explicit exponential decay rates for solutions of von Kármán's system of thermoelastic plates. C. R. Acad. Sci., Paris, Sér. I, 324(1), 49--54. https://doi.org/10.1016/S0764-4442(97)80102-4
• Escobedo, M. & Zuazua, E. (1997). Long-time behavior for a convection-diffusion equation in higher dimensions. SIAM J. Math. Anal., 28(3), 570--594. https://doi.org/10.1137/S0036141094271120

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1996

• Castro, C. & Zuazua, E. (1996). A remark on the spectral asymptotic analysis in homogenization. C. R. Acad. Sci., Paris, Sér. I, 322(11), 1043--1047.
• Zuazua, E. (1996). A uniqueness result for the linear system of elasticity and its control theoretical consequences. SIAM J. Control Optim., 34(5), 1473--1495. https://doi.org/10.1137/S0363012993260070
• Castro, C. & Zuazua, E. (1996). A remark on non-harmonic Fourier series and its application to the controllability of the string with singular density. C. R. Acad. Sci., Paris, Sér. I, 323(4), 365--370.
• Figueiredo, I. & Zuazua, E. (1996). Exact controllability and asymptotic limit for thin plates. Asymptotic Anal., 12(3), 213--252.
• de Teresa, L. & Zuazua, E. (1996). Controllability of the linear system of thermoelastic plates. Adv. Differ. Equ., 1(3), 369--402.
• Castro, C. & Zuazua, E. (1996). Spectral analysis and controllability of a hybrid system made of two flexible beams connected by a point mass. C. R. Acad. Sci., Paris, Sér. I, 322(4), 351--356.
• Micu, S. & Zuazua, E. (1996). Stabilization and periodic solutions of a hybrid system arising in the control of noise. Control of partial differential equations and applications. Proceedings of the IFIP TC7/WG-7.2 international conference, Laredo, Spain, 1994.
• Lions, J. & Zuazua, E. (1996). A generic uniqueness result for the Stokes system and its control theoretical consequences. Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday.
• Freitas, P. & Zuazua, E. (1996). Stability results for the wave equation with indefinite damping. J. Differ. Equations, 132(2), 338--352. https://doi.org/10.1006/jdeq.1996.0183

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1995

• Lions, J. & Zuazua, E. (1995). Approximate controllability of a hydro-elastic coupled system. ESAIM, Control Optim. Calc. Var., 1, 1--15. https://doi.org/10.1051/cocv:1996100
• Zuazua, E. (1995). Controllability of the linear system of thermoelasticity. J. Math. Pures Appl. (9), 74(4), 291--315.
• Duro, G. & Zuazua, E. (1995). Large time behavior for convection-diffusion equations in \(\mathbbR^ N\) with asymptotically constant diffusion. C. R. Acad. Sci., Paris, Sér. I, 321(11), 1419--1424.
• Cox, S. & Zuazua, E. (1995). The rate at which energy decays in a string damped at one end. Indiana Univ. Math. J., 44(2), 545--573. https://doi.org/10.1512/iumj.1995.44.2001
• Hansen, S. & Zuazua, E. (1995). Exact controllability and stabilization of a vibrating string with an interior point mass. SIAM J. Control Optim., 33(5), 1357--1391. https://doi.org/10.1137/S0363012993248347
• Conca, C. & Zuazua, E. (1995). Asymptotic analysis of a multidimensional plate-beam model. Asymptotic methods for elastic structures. Proceedings of the international conference, Lisbon, Portugal, October 4-8, 1993.
• Figueiredo, I. & Zuazua, E. (1995). Exact controllability, asymptotic methods and plates. Asymptotic methods for elastic structures. Proceedings of the international conference, Lisbon, Portugal, October 4-8, 1993.
• Zuazua, E. (1995). Some recent results on the large time behavior for scalar parabolic conservation laws. Elliptic and parabolic problems. Proceedings of the 2nd European conference, Pont-à-Mousson, June 1994.
• Fabre, C., Puel, J., & Zuazua, E. (1995). On the density of the range of the semigroup for semilinear heat equations. Control and optimal design of distributed parameter systems. Papers based on proceedings of a 1992 workshop, held at IMA, Minneapolis, MN, USA.
• Fabre, C., Puel, J., & Zuazua, E. (1995). Approximate controllability of the semilinear heat equation. Proc. R. Soc. Edinb., Sect. A, Math., 125(1), 31--61. https://doi.org/10.1017/S0308210500030742
• Rodríguez-Bernal, A. & Zuazua, E. (1995). Parabolic singular limit of a wave equation with localized boundary damping. Discrete Contin. Dyn. Syst., 1(3), 303--346. https://doi.org/10.3934/dcds.1995.1.303

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1994

• Micu, S. & Zuazua, E. (1994). Qualitative properties of a two-dimensional hybrid system arising in the control of noise. C. R. Acad. Sci., Paris, Sér. I, 319(12), 1263--1268.
• Zuazua, E. (1994). Controllability of the linear system of thermoelasticity: Dirichlet- Neumann boundary conditions. Control and estimation of distributed parameter systems: nonlinear phenomena. International conference in Vorau (Austria), July 18-24, 1993.
• Zuazua, E. (1994). Approximate controllability for linear parabolic equations with rapidly oscillating coefficients. Control Cybern., 23(4), 793--801.
• Zuazua, E. (1994). Approximate controllability of the system of elasticity with constrained controls. C. R. Acad. Sci., Paris, Sér. I, 319(1), 61--66.
• Machtyngier, E. & Zuazua, E. (1994). Stabilization of the Schrödinger equation. Port. Math., 51(2), 243--256.
• Escobedo, M., Vazquez, J. L., & Zuazua, E. (1994). Entropy solutions for diffusion-convection equations with partial diffusivity. Trans. Am. Math. Soc., 343(2), 829--842. https://doi.org/10.2307/2154744
• Conca, C. & Zuazua, E. (1994). Asymptotic analysis of a multidimensional vibrating structure. SIAM J. Math. Anal., 25(3), 836--858. https://doi.org/10.1137/S0036141093243381
• Zuazua, E. (1994). Controllability of the system of thermoelasticity without restriction on the coupling parameters. C. R. Acad. Sci., Paris, Sér. I, 318(7), 643--648.
• Zuazua, E. (1994). A dynamical system approach to the self-similar large time behavior in scalar convection-diffusion equations. J. Differ. Equations, 108(1), 1--35. https://doi.org/10.1006/jdeq.1994.1023
• Cox, S. & Zuazua, E. (1994). The rate at which energy decays in a damped string. Commun. Partial Differ. Equations, 19(1-2), 213--243. https://doi.org/10.1080/03605309408821015
• Cioranescu, D., Donato, P., & Zuazua, E. (1994). Approximate boundary controllability for the wave equation in perforated domains. SIAM J. Control Optim., 32(1), 35--50. https://doi.org/10.1137/S0363012991222292

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1993

• Escobedo, M., Vázquez, J. L., & Zuazua, E. (1993). A diffusion-convection equation in several space dimensions. Indiana Univ. Math. J., 42(4), 1413--1440. https://doi.org/10.1512/iumj.1993.42.42065
• Puel, J. P. & Zuazua, E. (1993). Exact controllability for some models of multidimensional vibrating structures. Mathematics, climate and environment.
• Puel, J. P. & Zuazua, E. (1993). Exact controllability for a model of multidimensional flexible structure. Proc. R. Soc. Edinb., Sect. A, Math., 123(2), 323--344. https://doi.org/10.1017/S0308210500025713
• Escobedo, M., Vazquez, J. L., & Zuazua, E. (1993). Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Arch. Ration. Mech. Anal., 124(1), 43--65. https://doi.org/10.1007/BF00392203
• Feireisl, E. & Zuazua, E. (1993). Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent. Commun. Partial Differ. Equations, 18(9-10), 1539--1555. https://doi.org/10.1080/03605309308820985
• Zuazua, E. (1993). Weakly nonlinear large time behavior in scalar convection-diffusion equations. Differ. Integral Equ., 6(6), 1481--1491.
• Cox, S. & Zuazua, E. (1993). Estimations on the exponential decay rate of energy for linear dissipative wave equations. C. R. Acad. Sci., Paris, Sér. I, 317(3), 249--254.
• Zuazua, E. (1993). Controllability of the system of thermoelasticity. C. R. Acad. Sci., Paris, Sér. I, 317(4), 371--376.
• Fabre, C., Puel, J., & Zuazua, E. (1993). Approximate controllability for the linear heat equation with controls of minimal \(L^ \infty\) norm. C. R. Acad. Sci., Paris, Sér. I, 316(7), 679--684.
• Zuazua, E. (1993). Exact controllability for semilinear wave equations in one space dimension. Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 10(1), 109--129. https://doi.org/10.1016/S0294-1449(16)30221-9
• Puel, J. P. & Zuazua, E. (1993). Controllability of a multi-dimensional system of Schrödinger equations: Application to a system of plate and beam equations. Analysis and optimization of systems: state and frequency domain approaches for infinite-dimensional systems. Proceedings of the 10th international conference, Sophia-Antipolis, France, June 9-12, 1992.

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1992

• Fabre, C., Puel, J., & Zuazua, E. (1992). Contr\^olabilité approchée de l'équation de la chaleur semi- linéaire. (Approximate controllability for the semilinear heat equation). C. R. Acad. Sci., Paris, Sér. I, 315(7), 807--812.
• Duoandikoetxea, J. & Zuazua, E. (1992). Moments, Dirac deltas and expansion of functions. C. R. Acad. Sci., Paris, Sér. I, 315(6), 693--698.
• Cioranescu, D., Donato, P., & Zuazua, E. (1992). Exact boundary controllability for the wave equation in domains with small holes. J. Math. Pures Appl. (9), 71(4), 343--377.
• Puel, J. & Zuazua, E. (1992). Contr\^olabilité exacte et stabilisation d'un modèle de structure vibrante multidimensionnelle. (Exact controllability and stabilization for a model of multidimensional vibrating structure). C. R. Acad. Sci., Paris, Sér. I, 314(2), 121--125.
• Cioranescu, D., Donato, P., & Zuazua, E. (1992). Approximate controllability for the wave equation with oscillating coefficients. Boundary control and boundary variation. Proceedings of IFIP WG 7.2 conference, Sophia-Antipolis, France, October 15-17, 1990.

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1991

• Bardos, C., Halpern, L., Lebeau, G., Rauch, J., & Zuazua, E. (1991). Stabilisation de l'équation des ondes au moyen d'un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Asymptotic Anal., 4(4), 285--291.
• Cioranescu, D., Donato, P., Murat, F., & Zuazua, E. (1991). Homogenization and corrector for the wave equation in domains with small holes. Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser., 18(2), 251--293.
• Zuazua, E. (1991). Exponential decay for the semilinear wave equation with localized damping in unbounded domains. J. Math. Pures Appl. (9), 70(4), 513--529.
• Zuazua, E. (1991). Exact boundary controllability for the semilinear wave equation. (Unpublished, Submitted).
• Escobedo, M. & Zuazua, E. (1991). Self-similar solutions for a convection-diffusion equation with absorption in \(\mathbbR^ N\). Isr. J. Math., 74(1), 47--64. https://doi.org/10.1007/BF02777815
• Escobedo, M. & Zuazua, E. (1991). Large time behavior for convection-diffusion equations in \(\mathbbR ^ N\). J. Funct. Anal., 100(1), 119--161. https://doi.org/10.1016/0022-1236(91)90105-E
• Cioranescu, D., Donato, P., & Zuazua, E. (1991). Strong convergence on the exact boundary controllability of the wave equation in perforated domains. (Unpublished, Submitted).

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1990

• Zuazua, E. (1990). Exact controllability of the semilinear wave equation in a spatial dimension. (Unpublished, Submitted).
• Zuazua, E. (1990). Contr\^olabilité exacte d'une équation des ondes surlinéaire à une dimension d'espace. (Exact controllability for a superlinear wave equation in one space dimension). C. R. Acad. Sci., Paris, Sér. I, 311(6), 285--290.
• Zuazua, E. (1990). Oscillation properties for some damped hyperbolic equations. Houston J. Math., 16(1), 25--52.
• Zuazua, E. (1990). Exponential decay for the semilinear wave equation with locally distributed damping. Commun. Partial Differ. Equations, 15(2), 205--235. https://doi.org/10.1080/03605309908820684
• Aguirre, J., Escobedo, M., & Zuazua, E. (1990). Self-similar solutions of a convection diffusion equation and related semilinear elliptic problems. Commun. Partial Differ. Equations, 15(2), 139--157. https://doi.org/10.1080/03605309908820681
• Zuazua, E. (1990). Uniform stabilization of the wave equation by nonlinear boundary feedback. SIAM J. Control Optim., 28(2), 466--477. https://doi.org/10.1137/0328025
• Zuazua, E. (1990). Exact controllability for the semilinear wave equation. J. Math. Pures Appl. (9), 69(1), 1--31.
• Komornik, V. & Zuazua, E. (1990). A direct method for the boundary stabilization of the wave equation. J. Math. Pures Appl. (9), 69(1), 33--54.
• Cioranescu, D., Donato, P., & Zuazua, E. (1990). Exact boundary controllability of wave equations in domains with small holes. (Unpublished, Submitted).

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1989

• Escobedo, M. & Zuazua, E. (1989). Comportement asymptotique des solutions d'une équation de convection- diffusion. (Asymptotic behavior of the solutions of a convection- diffusion equation). C. R. Acad. Sci., Paris, Sér. I, 309(6), 329--334.
• Cioranescu, D., Donato, P., & Zuazua, E. (1989). Contr\^olabilité exacte frontière de l'équation des ondes dans des domaines avec des petits trous. (Exact boundary controllability for the wave equation in domains with small holes). C. R. Acad. Sci., Paris, Sér. I, 309(7), 473--478.
• Zuazua, E. (1989). Sur l'optimalité des feedbacks de stabilisation. (On the optimality of stabilization feedbacks). C. R. Acad. Sci., Paris, Sér. I, 309(8), 547--552.
• Zuazua, E. (1989). Some remarks on the boundary stabilization of the wave equation. (Unpublished, Submitted).

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1988

• Aguirre, J., Escobedo, M., & Zuazua, E. (1988). Une équation elliptique dans \(\mathbbR^ N\) provenant d'un problème parabolique avec convection. (An elliptic equation in \(\mathbbR^ N\) coming from a parabolic problem with convection). C. R. Acad. Sci., Paris, Sér. I, 307(6), 235--237.
• Zuazua, E. (1988). Stability and decay for a class of nonlinear hyperbolic problems. Asymptotic Anal., 1(2), 161--185.
• Aguirre, J., Escobedo, M., & Zuazua, E. (1988). Existence de solutions à moyenne donnée pour un problème elliptique dans \(\mathbbR^ N\). (Existence of solutions with given mean for an elliptic problem on \(\mathbbR^ n)\). C. R. Acad. Sci., Paris, Sér. I, 307(9), 463--466.
• Zuazua, E. (1988). Robustesse du feedback de stabilisation par contr\^ole frontière. (Robustness of stabilization feedback via boundary control). C. R. Acad. Sci., Paris, Sér. I, 307(11), 587--591.
• Haraux, A. & Zuazua, E. (1988). Decay estimates for some semilinear damped hyperbolic problems. Arch. Ration. Mech. Anal., 100(2), 191--206. https://doi.org/10.1007/BF00282203
• Haraux, A. & Zuazua, E. (1988). Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. J. Differ. Equations, 74(1), 11--28. https://doi.org/10.1016/0022-0396(88)90015-0
• Zuazua, E. (1988). Contr\^olabilité exacte de systèmes d'évolution non linéaires. (Exact controllability of nonlinear evolution systems). C. R. Acad. Sci., Paris, Sér. I, 306(3), 129--132.

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1987

• Komornik, V. & Zuazua, E. (1987). Stabilisation frontière de l'equation des ondes: Une méthode directe. (Boundary stabilization of the wave equation: A direct method). C. R. Acad. Sci., Paris, Sér. I, 305, 605--608.
• Zuazua, E. (1987). Contr\^olabilité exacte d'un modèle de plaques vibrantes en un temps arbitrairement petit. (Exact controllability of a vibrating plate model for an arbitrarily small time). C. R. Acad. Sci., Paris, Sér. I, 304, 173--176.

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