Edit Profile (opens in new tab) Zuazua, Enrique Co-Author Distance Author ID: zuazua.enrique Published as: Zuazua, Enrique; Zuazua, E.; Zuazua, Enrike more...less Homepage: http://verso.mat.uam.es/web/ezuazua/zuazua.html External Links: MGP · Wikidata · Twitter · dblp · GND · IdRef · theses.fr Documents Indexed: 401 Publications since 1987, including 3 Books and 24 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Biographic References: 4 Publications Co-Authors: 185 Co-Authors with 351 Joint Publications 4,392 Co-Co-Authors all top 5 Co-Authors 54 single-authored 22 Trélat, Emmanuel 18 Zhang, Xu 17 Castro, Carlos 15 Biccari, Umberto 12 Escobedo Martínez, Miguel 12 Perla Menzala, Gustavo Alberto 11 Micu, Sorin 10 Ervedoza, Sylvain 10 Ignat, Liviu I. 10 Marica, Aurora 9 Privat, Yannick 9 Puel, Jean-Pierre 8 Fernández-Cara, Enrique 7 Cioranescu, Doina 7 Donato, Patrizia 7 Ruiz-Balet, Domènec 7 Vazquez, Juan Luis 6 Lions, Jacques-Louis 5 Dáger, René 5 Fabre, Caroline 5 Geshkovski, Borjan 5 Lebeau, Gilles 5 Lohéac, Jérôme 5 Lopez, Antonio M. jun. 5 Lü, Qi 5 Negreanu, Mihaela 5 Ortega, Jaime H. 5 Pighin, Dario 5 Tucsnak, Marius 5 Warma, Mahamadi 4 De Nitti, Nicola 4 de Teresa, Luz 4 Lazar, Martin 4 Orive Illera, Rafael 4 Porretta, Alessio 3 Aguirre Estibalez, Julián 3 Araruna, Fágner Dias 3 Chenais, Denise 3 Duro, Gema 3 Esteve-Yagüe, Carlos 3 Esteve, Carlos 3 Gugat, Martin 3 Han, Zhongjie 3 Ko, Dongnam 3 Komornik, Vilmos 3 Lecaros, Rodrigo 3 Pozo, Alejandro 3 Song, YongCun 3 Wang, Gengsheng 3 Zheng, Chuang 2 Allahverdi, Navid 2 Álvarez-López, Antonio 2 Arrieta, José M. 2 Beauchard, Karine 2 Braz e Silva, Pablo 2 Casas, Eduardo 2 Chaves-Silva, Felipe Wallison 2 Coclite, Giuseppe Maria 2 Conca, Carlos 2 Crin-Barat, Timothée 2 de Figueiredo, Isabel Maria Narra 2 de León Rodríguez, Manuel 2 Dehman, Belhassen 2 Feireisl, Eduard 2 Fernández, Luis Alberto 2 Gosse, Laurent 2 Haraux, Alain 2 Hernández-Santamaría, Víctor 2 Infante, Juan-Antonio 2 Jaffard, Stéphane 2 Krejčiřík, David 2 Lance, Gontran 2 Liard, Thibault 2 Lissy, Pierre 2 López-Fernández, María 2 Macià, Fabricio 2 Maity, Debayan 2 Navarro Quiles, Ana 2 Palacios, Francisco 2 Pazoto, Ademir Fernando 2 Rauch, Jeffrey B. 2 Rodríguez-Bernal, Aníbal 2 Tcheugoué Tébou, Louis Roder 2 Vancostenoble, Judith 2 Veldman, Daniel 2 Wang, Ziqi 2 Zhang, Yubiao 1 Affili, Elisa 1 Andradas, Carlos 1 Bárcena-Petisco, Jon Asier 1 Bardos, Claude Williams 1 Beli, Constantin-Nicolae 1 Bianchini, Roberta 1 Bisognin, Eleni 1 Bisognin, Vanilde 1 Borkowski, Alexandra 1 Cabanillas, Victor R. 1 Casado-Díaz, Juan 1 Cazacu, Cristian M. 1 Cazenave, Thierry ...and 86 more Co-Authors all top 5 Serials 27 Comptes Rendus de l’Académie des Sciences. Série I 22 SIAM Journal on Control and Optimization 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal of Differential Equations 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Archive for Rational Mechanics and Analysis 10 Systems & Control Letters 9 Asymptotic Analysis 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Numerische Mathematik 7 Communications in Partial Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 5 Mathematics of Computation 5 Journal of Optimization Theory and Applications 5 Discrete and Continuous Dynamical Systems 5 Mathematical Control and Related Fields 4 Automatica 4 Journal of Functional Analysis 3 Nonlinearity 3 Control and Cybernetics 3 SIAM Journal on Numerical Analysis 3 Differential and Integral Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Computational and Applied Mathematics 3 Advances in Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Journal of the European Mathematical Society (JEMS) 3 Multiscale Modeling & Simulation 2 Inverse Problems 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 IEEE Transactions on Automatic Control 2 Indiana University Mathematics Journal 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 SIAM Review 2 The Journal of Fourier Analysis and Applications 2 Matemática Contemporânea 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Contemporary Mathematics 2 La Gaceta de la Real Sociedad Matemática Española 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Handbook of Numerical Analysis 2 Networks and Heterogeneous Media 2 Pure and Applied Functional Analysis 2 SpringerBriefs in Mathematics 1 Houston Journal of Mathematics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Portugaliae Mathematica 1 Ricerche di Matematica 1 Optimal Control Applications & Methods 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Mathematical and Computer Modelling 1 Revista Matemática de la Universidad Complutense de Madrid 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Advances in Computational Mathematics 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Portugaliae Mathematica. Nova Série 1 Cubo Matemática Educacional 1 Acta Numerica 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathématiques & Applications (Berlin) 1 Research Notes in Applied Mathematics 1 Publicaciones de la Real Sociedad Matemática Española 1 Proceedings of the Estonian Academy of Sciences 1 Matapli 1 Nonlinear Analysis. Theory, Methods & Applications 1 IEEE Control Systems all top 5 Fields 283 Partial differential equations (35-XX) 217 Systems theory; control (93-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 67 Mechanics of deformable solids (74-XX) 59 Numerical analysis (65-XX) 14 Ordinary differential equations (34-XX) 13 Fluid mechanics (76-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 8 Operations research, mathematical programming (90-XX) 7 Operator theory (47-XX) 7 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 339 Publications have been cited 7,529 times in 3,778 Documents Cited by ▼ Year ▼ Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010 Zuazua, Enrike 247 1990 The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. Zbl 0953.35053 Vazquez, Juan Luis; Zuazua, Enrike 226 2000 Approximate controllability of the semilinear heat equation. Zbl 0818.93032 Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike 189 1995 Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023 Fernández-Cara, Enrique; Zuazua, Enrique 189 2000 A direct method for the boundary stabilization of the wave equation. Zbl 0636.93064 Komornik, Vilmos; Zuazua, Enrike 173 1990 Propagation, observation, and control of waves approximated by finite difference methods. Zbl 1077.65095 Zuazua, Enrique 161 2005 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034 Fernández-Cara, Enrique; Zuazua, Enrique 156 2000 Controllability and observability of partial differential equations: some results and open problems. Zbl 1193.35234 Zuazua, Enrique 152 2007 Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\). Zbl 0762.35011 Escobedo, Miguel; Zuazua, Enrike 123 1991 Wave propagation, observation and control in 1-\(d\) flexible multi-structures. Zbl 1083.74002 Dáger, René; Zuazua, Enrique 119 2006 Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070 Haraux, A.; Zuazua, E. 110 1988 Uniform stabilization of the wave equation by nonlinear boundary feedback. Zbl 0695.93090 Zuazua, Enrike 109 1990 On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031 Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique 96 2008 Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017 Zuazua, E. 93 1993 The rate at which energy decays in a damped string. Zbl 0818.35072 Cox, Steven; Zuazua, Enrique 92 1994 On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. Zbl 1038.93041 Doubova, A.; Fernández-Cara, E.; González-Burgos, M.; Zuazua, E. 92 2002 Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501 Lebeau, Gilles; Zuazua, Enrique 91 1998 The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010 Trélat, Emmanuel; Zuazua, Enrique 83 2015 Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016 Lebeau, Gilles; Zuazua, Enrique 77 1999 Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101 Infante, Juan Antonio; Zuazua, Enrique 76 1999 Exponential decay for the semilinear wave equation with localized damping in unbounded domains. Zbl 0765.35010 Zuazua, E. 75 1991 Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017 Beauchard, Karine; Zuazua, Enrique 73 2011 Stabilization of the Korteweg-de Vries equation with localized damping. Zbl 1039.35107 Perla Menzala, G.; Vasconcellos, C. F.; Zuazua, E. 70 2002 Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075 Zhang, Xu; Zuazua, Enrique 68 2007 Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033 Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique 67 2003 Long time versus steady state optimal control. Zbl 1287.49006 Porretta, Alessio; Zuazua, Enrique 61 2013 Exact controllability for the semilinear wave equation. Zbl 0638.49017 Zuazua, Enrike 60 1990 Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318 Zhang, Xu; Zuazua, Enrique 60 2003 Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059 Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike 59 1993 The rate at which energy decays in a string damped at one end. Zbl 0847.35078 Cox, Steven; Zuazua, Enrique 58 1995 Decay rates for dissipative wave equations. Zbl 0939.35126 Liu, Wei-Jiu; Zuazua, Enrique 55 1999 Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030 Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique 55 2005 Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008 Zhang, Xu; Zuazua, Enrique 55 2004 Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 53 2017 Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Zbl 1033.65080 Tcheugoué Tébou, Louis Roder; Zuazua, Enrique 48 2003 Stability and decay for a class of nonlinear hyperbolic problems. Zbl 0677.35069 Zuazua, Enrike 47 1988 Moments, Dirac deltas and expansion of functions. (Moments, masses de Dirac et décomposition de fonctions.) Zbl 0755.45019 Duoandikoetxea, Javier; Zuazua, Enrique 46 1992 Exact controllability and stabilization of a vibrating string with an interior point mass. Zbl 0853.93018 Hansen, Scott; Zuazua, Enrique 45 1995 Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017 Vázquez, Juan Luis; Zuazua, Enrique 44 2003 Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. Zbl 0939.93016 Zuazua, E. 42 1999 Sharp observability estimates for heat equations. Zbl 1251.93040 Ervedoza, Sylvain; Zuazua, Enrique 42 2011 Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052 Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique 41 2014 Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086 Tebou, Louis T.; Zuazua, Enrique 40 2007 Null controllability for the heat equation with singular inverse-square potentials. Zbl 1145.93009 Vancostenoble, J.; Zuazua, E. 40 2008 Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent. Zbl 0815.35069 Feireisl, Eduard; Zuazua, Enrique 40 1993 On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005 Wang, Gengsheng; Zuazua, Enrique 40 2012 Averaged control. Zbl 1309.93029 Zuazua, Enrique 39 2014 Stabilization of the wave equation on 1-d networks. Zbl 1203.93184 Valein, Julie; Zuazua, Enrique 39 2009 A diffusion-convection equation in several space dimensions. Zbl 0791.35059 Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike 38 1993 Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Zbl 1203.35015 Münch, Arnaud; Zuazua, Enrique 38 2010 A systematic method for building smooth controls for smooth data. Zbl 1219.93011 Ervedoza, Sylvain; Zuazua, Enrique 37 2010 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 37 2015 On the controllability of fractional order parabolic equation. Zbl 1116.93022 Micu, Sorin; Zuazua, Enrique 36 2006 Controllability of evolution equations with memory. Zbl 1368.93032 Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 36 2017 On the lack of null-controllability of the heat equation on the half-line. Zbl 0969.35022 Micu, Sorin; Zuazua, Enrique 35 2001 Stabilization of the Schrödinger equation. Zbl 0814.35008 Machtyngier, E.; Zuazua, E. 35 1994 Controllability of partial differential equations and its semi-discrete approximations. Zbl 1005.35019 Zuazua, Enrique 34 2002 Uniform boundary controllability of a discrete 1-D wave equation. Zbl 1157.93324 Negreanu, Mihaela; Zuazua, Enrique 34 2003 Finite dimensional null controllability for the semilinear heat equation. Zbl 0872.93014 Zuazua, Enrique 34 1997 Contrôlabilité exacte d’un modèle de plaques vibrantes en un temps arbitrairement petit. (Exact controllability of a vibrating plate model for an arbitrarily small time). Zbl 0611.49028 Zuazua, Enrike 33 1987 Stability results for the wave equation with indefinite damping. Zbl 0878.35067 Freitas, Pedro; Zuazua, Enrique 33 1996 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 32 2018 Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. Zbl 1079.35017 López, Antonio; Zhang, Xu; Zuazua, Enrique 32 2000 Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084 Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike 32 1994 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 32 2013 On the null controllability of the one-dimensional heat equation with BV coefficients. Zbl 1119.93311 Fernández-Cara, Enrique; Zuazua, Enrique 31 2002 Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Zbl 0959.93025 Zuazua, Enrique 31 1999 Uniformly exponentially stable approximations for a class of damped systems. Zbl 1163.74019 Ervedoza, Sylvain; Zuazua, Enrique 31 2009 Numerical approximation of exact controls for waves. Zbl 1282.93001 Ervedoza, Sylvain; Zuazua, Enrique 31 2013 Numerical dispersive schemes for the nonlinear Schrödinger equation. Zbl 1192.65127 Ignat, Liviu I.; Zuazua, Enrique 30 2009 Exact boundary controllability for the semilinear wave equation. Zbl 0731.93011 Zuazua, E. 30 1991 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 30 2017 Optimal observation of the one-dimensional wave equation. Zbl 1302.93052 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 29 2013 Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131 Casas, Eduardo; Vexler, Boris; Zuazua, Enrique 27 2015 Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. Zbl 1200.35008 Vancostenoble, J.; Zuazua, E. 27 2009 Switching control. Zbl 1203.49011 Zuazua, Enrique 27 2011 Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043 Lazar, Martin; Zuazua, Enrique 26 2014 Concentration and lack of observability of waves in highly heterogeneous media. Zbl 1016.35003 Castro, C.; Zuazua, E. 26 2002 Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass. Zbl 0909.35085 Castro, Carlos; Zuazua, Enrique 25 1998 On the lack of null-controllability of the heat equation on the half space. Zbl 0991.35010 Micu, S.; Zuazua, E. 25 2001 Control and numerical approximation of the wave and heat equations. Zbl 1108.93023 Zuazua, Enrique 25 2006 Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2016 Remarks on long time versus steady state optimal control. Zbl 1369.49008 Porretta, Alessio; Zuazua, Enrique 25 2016 On the lack of observability for wave equations: a Gaussian beam approach. Zbl 1024.35062 Macià, Fabricio; Zuazua, Enrique 25 2002 Boundary controllability of the finite-difference space semi-discretizations of the beam equation. Zbl 1063.93025 León, Liliana; Zuazua, Enrique 25 2002 On the observability of time-discrete conservative linear systems. Zbl 1143.65044 Ervedoza, Sylvain; Zheng, Chuang; Zuazua, Enrique 25 2008 Null controllability for wave equations with memory. Zbl 1370.93051 Lü, Qi; Zhang, Xu; Zuazua, Enrique 25 2017 Singular internal stabilization of the wave equation. Zbl 0920.35029 Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique 24 1998 Some controllability results for the 2D Kolmogorov equation. Zbl 1172.93005 Beauchard, K.; Zuazua, E. 24 2009 Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634 Vázquez, Juan Luis; Zuazua, Enrique 24 2006 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012 Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 24 2016 Control, observation and polynomial decay for a coupled heat-wave system. Zbl 1029.93037 Zhang, Xu; Zuazua, Enrique 24 2003 Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. Zbl 0997.93048 Cabanillas, V. R.; De Menezes, S. B.; Zuazua, E. 24 2001 Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005 Casas, E.; Zuazua, E. 24 2013 Controllability of the linear system of thermoelasticity. Zbl 0846.93008 Zuazua, Enrique 23 1995 Identification of the class of initial data for the insensitizing control of the heat equation. Zbl 1152.35387 De Teresa, Luz; Zuazua, Enrique 23 2009 An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks. Zbl 1160.35012 Castro, Carlos; Palacios, Francisco; Zuazua, Enrique 23 2008 Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017 Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique 23 2019 Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071 Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique 23 2016 Complexity of large time behaviour of evolution equations with bounded data. Zbl 1002.35020 Vázquez, J. L.; Zuazua, E. 22 2002 Neural ODE control for classification, approximation, and transport. Zbl 1521.93080 Ruiz-Balet, Domènec; Zuazua, Enrique 2 2023 Long-time convergence of a nonlocal Burgers’ equation towards the local \(N\)-wave. Zbl 1525.35028 Coclite, Giuseppe Maria; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas; Zuazua, Enrique 1 2023 Greedy search of optimal approximate solutions. Zbl 1526.93012 Lazar, Martin; Zuazua, Enrique 1 2023 Constrained control of gene-flow models. Zbl 1519.92335 Mazari, Idriss; Ruiz-Balet, Domènec; Zuazua, Enrique 1 2023 Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006 Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique 11 2022 Flow decomposition for heat equations with memory. Zbl 1480.45012 Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique 5 2022 Interpolation and approximation via momentum ResNets and neural ODEs. Zbl 1485.93243 Ruiz-Balet, Domènec; Affili, Elisa; Zuazua, Enrique 5 2022 Initial data identification for the one-dimensional Burgers equation. Zbl 07564930 Liard, Thibault; Zuazua, Enrique 5 2022 Turnpike in optimal control of PDEs, ResNets, and beyond. Zbl 07674581 Geshkovski, Borjan; Zuazua, Enrique 4 2022 The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Zbl 1505.49026 Esteve, Carlos; Kouhkouh, Hicham; Pighin, Dario; Zuazua, Enrique 2 2022 Control and numerical approximation of fractional diffusion equations. Zbl 1496.65155 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 2 2022 Numerical issues and turnpike phenomenon in optimal shape design. Zbl 1487.49050 Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 1 2022 Differentiability with respect to the initial condition for Hamilton-Jacobi equations. Zbl 1498.35168 Esteve-Yagüe, Carlos; Zuazua, Enrique 1 2022 The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367 Jin, Shi; Zhu, Yuhua; Zuazua, Enrique 1 2022 Optimal actuator design via Brunovsky’s normal form. Zbl 07742156 Geshkovski, Borjan; Zuazua, Enrique 1 2022 Controllability of one-dimensional viscous free boundary flows. Zbl 1467.93034 Geshkovski, Borjan; Zuazua, Enrique 9 2021 Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038 Ko, Dongnam; Zuazua, Enrique 7 2021 The turnpike property in nonlinear optimal control – a geometric approach. Zbl 1478.49006 Sakamoto, Noboru; Zuazua, Enrique 5 2021 Averaged dynamics and control for heat equations with random diffusion. Zbl 1480.93191 Bárcena-Petisco, Jon Asier; Zuazua, Enrique 4 2021 Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems. Zbl 1475.49040 Heiland, Jan; Zuazua, Enrique 3 2021 The finite-time turnpike phenomenon for optimal control problems: stabilization by non-smooth tracking terms. Zbl 1461.91188 Gugat, Martin; Schuster, Michael; Zuazua, Enrique 2 2021 Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 2 2021 Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. Zbl 1451.93033 Ruiz-Balet, Domènec; Zuazua, Enrique 13 2020 Controllability of the one-dimensional fractional heat equation under positivity constraints. Zbl 1446.93012 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 12 2020 The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. Zbl 1453.35189 Esteve, Carlos; Zuazua, Enrique 8 2020 Shape turnpike for linear parabolic PDE models. Zbl 1451.93170 Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 7 2020 Controllability of shadow reaction-diffusion systems. Zbl 1477.35292 Hernández-Santamaría, Víctor; Zuazua, Enrique 5 2020 Asymptotic behavior and control of a “Guidance by repulsion” model. Zbl 1451.93306 Ko, Dongnam; Zuazua, Enrique 5 2020 Propagation of one- and two-dimensional discrete waves under finite difference approximation. Zbl 1457.35009 Biccari, Umberto; Marica, Aurora; Zuazua, Enrique 3 2020 Sparse source identification of linear diffusion-advection equations by adjoint methods. Zbl 1454.93112 Monge, Azahar; Zuazua, Enrique 2 2020 Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Zbl 1447.93338 Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Zuazua, Enrique 2 2020 Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017 Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique 23 2019 Internal observability for coupled systems of linear partial differential equations. Zbl 1409.35059 Lissy, Pierre; Zuazua, Enrique 21 2019 Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161 Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique 13 2019 Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017 Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique 9 2019 Controllability under positivity constraints of multi-d wave equations. Zbl 1428.35202 Pighin, Dario; Zuazua, Enrique 8 2019 Greedy optimal control for elliptic problems and its application to turnpike problems. Zbl 1408.49018 Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique 7 2019 A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. Zbl 1408.35110 Bianchini, Roberta; Gosse, Laurent; Zuazua, Enrique 4 2019 Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Zbl 1438.35258 Morales-Hernández, M.; Zuazua, E. 2 2019 Controllability of a class of infinite dimensional systems with age structure. Zbl 1446.93014 Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique 2 2019 Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 2 2019 A parabolic approach to the control of opinion spreading. Zbl 1447.91120 Ruiz-Balet, Domènec; Zuazua, Enrique 1 2019 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 32 2018 Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142 Pighin, Dario; Zuazua, Enrique 18 2018 Internal controllability for parabolic systems involving analytic non-local terms. Zbl 1391.35187 Lissy, Pierre; Zuazua, Enrique 12 2018 Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 12 2018 Allee optimal control of a system in ecology. Zbl 1411.93198 Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique 11 2018 Local regularity for fractional heat equations. Zbl 1415.35072 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 11 2018 Optimal shape design for 2D heat equations in large time. Zbl 1474.35351 Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 5 2018 Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 53 2017 Controllability of evolution equations with memory. Zbl 1368.93032 Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 36 2017 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156 Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 30 2017 Null controllability for wave equations with memory. Zbl 1370.93051 Lü, Qi; Zhang, Xu; Zuazua, Enrique 25 2017 Averaged controllability of parameter dependent conservative semigroups. Zbl 1352.93025 Lohéac, Jérôme; Zuazua, Enrique 13 2017 Addendum to: “Local elliptic regularity for the Dirichlet fractional Laplacian”. Zbl 1516.35150 Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 11 2017 Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 11 2017 Numerical hypocoercivity for the Kolmogorov equation. Zbl 1351.65059 Porretta, Alessio; Zuazua, Enrique 11 2017 Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022 Han, Zhong-Jie; Zuazua, Enrique 8 2017 Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Zbl 1375.35630 Gosse, Laurent; Zuazua, Enrique 7 2017 Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2016 Remarks on long time versus steady state optimal control. Zbl 1369.49008 Porretta, Alessio; Zuazua, Enrique 25 2016 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012 Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 24 2016 Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071 Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique 23 2016 Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058 Lü, Qi; Zuazua, Enrique 21 2016 Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. Zbl 1433.65157 Ervedoza, Sylvain; Marica, Aurora; Zuazua, Enrique 19 2016 Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. Zbl 1341.35085 Biccari, Umberto; Zuazua, Enrique 18 2016 On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027 Lü, Qi; Zuazua, Enrique 18 2016 From averaged to simultaneous controllability. Zbl 1348.93052 Lohéac, Jérôme; Zuazua, Enrique 16 2016 Numerical aspects of large-time optimal control of Burgers equation. Zbl 1350.49036 Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique 13 2016 Greedy controllability of finite dimensional linear systems. Zbl 1348.93051 Lazar, Martin; Zuazua, Enrique 10 2016 Decay rates for \(1-d\) heat-wave planar networks. Zbl 1355.35023 Han, Zhong-Jie; Zuazua, Enrique 8 2016 Stable observation of additive superpositions of partial differential equations. Zbl 1336.93036 Zuazua, Enrique 8 2016 Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005 Gugat, Martin; Zuazua, Enrique 6 2016 Optimal strategies for driving a mobile agent in a “guidance by repulsion” model. Zbl 1510.93117 Escobedo, R.; Ibañez, A.; Zuazua, E. 5 2016 Control of 2D scalar conservation laws in the presence of shocks. Zbl 1336.35239 Lecaros, Rodrigo; Zuazua, Enrique 4 2016 Numerical aspects of sonic-boom minimization. Zbl 1345.49039 Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique 4 2016 Dispersion for 1-D Schrödinger and wave equations with BV coefficients. Zbl 1364.35024 Beli, Constantin N.; Ignat, Liviu I.; Zuazua, Enrique 3 2016 Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems. (Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires.) Zbl 1349.35426 Choulli, Mourad; Zuazua, Enrique 2 2016 Randomised observation, control and stabilization of waves. Zbl 07775045 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 1 2016 The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010 Trélat, Emmanuel; Zuazua, Enrique 83 2015 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 37 2015 Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131 Casas, Eduardo; Vexler, Boris; Zuazua, Enrique 27 2015 Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 14 2015 Weak observability estimates for 1-D wave equations with rough coefficients. Zbl 1320.93027 Fanelli, Francesco; Zuazua, Enrique 12 2015 Generation of 2D water waves by moving bottom disturbances. Zbl 1330.35338 Nersisyan, Hayk; Dutykh, Denys; Zuazua, Enrique 10 2015 Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Zbl 1320.65117 Ignat, Liviu I.; Pozo, Alejandro; Zuazua, Enrique 10 2015 Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. Zbl 1375.81163 Marica, Aurora; Zuazua, Enrique 7 2015 Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Zbl 1311.65112 Lescarret, Vincent; Zuazua, Enrique 5 2015 Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Zbl 1320.65097 Ervedoza, Sylvain; Zuazua, Enrique 2 2015 Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052 Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique 41 2014 Averaged control. Zbl 1309.93029 Zuazua, Enrique 39 2014 Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043 Lazar, Martin; Zuazua, Enrique 26 2014 Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028 Lü, Qi; Zuazua, Enrique 10 2014 Recovery of an initial temperature from discrete sampling. Zbl 1298.35250 DeVore, Ronald; Zuazua, Enrique 5 2014 Tracking control of 1D scalar conservation laws in the presence of shocks. Zbl 1325.49032 Lecaros, Rodrigo; Zuazua, Enrique 4 2014 Symmetric discontinuous Galerkin methods for 1-D waves. Fourier analysis, propagation, observability and applications. Zbl 1295.65097 Marica, Aurora; Zuazua, Enrique 4 2014 Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach. Zbl 1322.65091 Marica, Aurora; Zuazua, Enrique 3 2014 Long time versus steady state optimal control. Zbl 1287.49006 Porretta, Alessio; Zuazua, Enrique 61 2013 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004 Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 32 2013 Numerical approximation of exact controls for waves. Zbl 1282.93001 Ervedoza, Sylvain; Zuazua, Enrique 31 2013 ...and 239 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,453 Authors 167 Zuazua, Enrique 46 Cavalcanti, Marcelo Moreira 46 Fernández-Cara, Enrique 44 Xu, Gen-Qi 37 Messaoudi, Salim A. 35 Ammari, Kais 33 Domingos Cavalcanti, Valéria Neves 33 Nicaise, Serge 33 Trélat, Emmanuel 32 Guo, Bao-Zhu 31 Ervedoza, Sylvain 31 Münch, Arnaud 29 Tucsnak, Marius 28 Tcheugoué Tébou, Louis Roder 26 Micu, Sorin 25 Gugat, Martin 25 Mustafa, Muhammad Islam 25 Rao, Bopeng 24 Kunisch, Karl 24 Leugering, Günter 24 Li, Tatsien 24 Pazoto, Ademir Fernando 23 Takahashi, Takéo 23 Zhang, Xu 22 Han, Zhongjie 21 de Teresa, Luz 21 Lasiecka, Irena 21 Limaco, Juan 21 Maniar, Lahcen 20 Ignat, Liviu I. 20 Wang, Gengsheng 20 Wang, Junmin 20 Warma, Mahamadi 19 Coron, Jean-Michel 19 González-Burgos, Manuel 19 Lü, Qi 18 Alabau-Boussouira, Fatiha 18 Araruna, Fágner Dias 18 Avdonin, Sergeĭ Anatol’evich 18 Muñoz Rivera, Jaime Edilberto 18 Privat, Yannick 16 Biccari, Umberto 16 Cannarsa, Piermarco 16 Fu, Xiaoyu 16 Komornik, Vilmos 16 Lissy, Pierre 16 Martinez, Patrick 16 Nakao, Mitsuhiro 15 Fragnelli, Genni 15 Hernández-Santamaría, Víctor 15 Kaikina, Elena Igorevna 15 Liu, Xu 15 Vancostenoble, Judith 15 Wehbe, Ali 14 Beauchard, Karine 14 Grüne, Lars 14 Krejčiřík, David 14 Rosier, Lionel 14 Said-Houari, Belkacem 14 Wang, Lijuan 13 Aouadi, Moncef 13 Benabdallah, Assia 13 Gao, Hang 13 Guerrero, Sergio 13 Khemmoudj, Ammar 13 Laurent, Camille 13 Léautaud, Matthieu 13 Liu, Wenjun 13 Periago, Francisco 13 Phung, Kim Dang 13 Quintanilla de Latorre, Ramón 13 Roventa, Ionel 12 Haraux, Alain 12 Krstić, Miroslav 12 Lazar, Martin 12 Le Balc’h, Kévin 12 Le Rousseau, Jérôme H. 12 Mitra, Debanjana 12 Ouzahra, Mohamed 12 Park, Jong Yeoul 12 Porretta, Alessio 12 Ramos, Anderson J. A. 11 Boyer, Franck 11 Cazacu, Cristian M. 11 Chaves-Silva, Felipe Wallison 11 Cîndea, Nicolae 11 Clark, Haroldo Rodrigues 11 Laurençot, Philippe 11 Lohéac, Jérôme 11 Loreti, Paola 11 Ortega, Jaime H. 11 Pignotti, Cristina 11 Santos, Mauro Lima 11 Soufyane, Abdelaziz 11 Wang, Liangwei 10 Balachandran, Krishnan 10 Cerpa, Eduardo 10 Corrêa, Wellington José 10 De Menezes, Silvano Bezerra 10 Escobedo Martínez, Miguel ...and 3,353 more Authors all top 5 Cited in 408 Serials 220 Journal of Mathematical Analysis and Applications 206 Journal of Differential Equations 189 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 136 SIAM Journal on Control and Optimization 106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 92 Systems & Control Letters 87 Journal de Mathématiques Pures et Appliquées. 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Serie Quarta 6 European Journal of Applied Mathematics ...and 308 more Serials all top 5 Cited in 53 Fields 2,979 Partial differential equations (35-XX) 1,686 Systems theory; control (93-XX) 559 Mechanics of deformable solids (74-XX) 455 Calculus of variations and optimal control; optimization (49-XX) 358 Numerical analysis (65-XX) 255 Operator theory (47-XX) 236 Fluid mechanics (76-XX) 172 Ordinary differential equations (34-XX) 142 Real functions (26-XX) 107 Dynamical systems and ergodic theory (37-XX) 97 Functional analysis (46-XX) 91 Biology and other natural sciences (92-XX) 89 Probability theory and stochastic processes (60-XX) 71 Integral equations (45-XX) 56 Quantum theory (81-XX) 53 Global analysis, analysis on manifolds (58-XX) 50 Operations research, mathematical programming (90-XX) 48 Statistical mechanics, structure of matter (82-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 39 Classical thermodynamics, heat transfer (80-XX) 38 Optics, electromagnetic theory (78-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Mechanics of particles and systems (70-XX) 20 Difference and functional equations (39-XX) 20 Differential geometry (53-XX) 14 Functions of a complex variable (30-XX) 12 Combinatorics (05-XX) 12 Computer science (68-XX) 11 Special functions (33-XX) 10 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 9 Geophysics (86-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Topological groups, Lie groups (22-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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