Edit Profile (opens in new tab) Zuazua, Enrique Compute Distance To: Compute 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 · IdRef · theses.fr Documents Indexed: 365 Publications since 1987, including 3 Books 9 Contributions as Editor · 1 Further Contribution Biographic References: 4 Publications Co-Authors: 159 Co-Authors with 317 Joint Publications 3,722 Co-Co-Authors all top 5 Co-Authors 51 single-authored 21 Trélat, Emmanuel 18 Zhang, Xu 17 Castro, Carlos 12 Escobedo Martínez, Miguel 12 Perla Menzala, Gustavo Alberto 11 Micu, Sorin 10 Ervedoza, Sylvain 10 Marica, Aurora 9 Ignat, Liviu I. 9 Puel, Jean-Pierre 8 Biccari, Umberto 8 Fernández-Cara, Enrique 8 Privat, Yannick 7 Cioranescu, Doina 7 Donato, Patrizia 7 Vazquez, Juan Luis 6 Lions, Jacques-Louis 5 Dáger, René 5 Fabre, Caroline 5 Lebeau, Gilles 5 Lohéac, Jérôme 5 Lopez, Antonio M. jun. 5 Lü, Qi 5 Negreanu, Mihaela 5 Ortega, Jaime H. 5 Tucsnak, Marius 5 Warma, Mahamadi 4 de Teresa, Luz 4 Pighin, Dario 4 Porretta, Alessio 4 Ruiz-Balet, Domènec 3 Aguirre Estibalez, Julián 3 Araruna, Fágner Dias 3 Chenais, Denise 3 Duro, Gema 3 Esteve-Yagüe, Carlos 3 Gugat, Martin 3 Han, Zhongjie 3 Ko, Dongnam 3 Komornik, Vilmos 3 Lazar, Martin 3 Orive Illera, Rafael 3 Pozo, Alejandro 3 Zheng, Chuang 2 Allahverdi, Navid 2 Arrieta, José M. 2 Beauchard, Karine 2 Braz e Silva, Pablo 2 Casas, Eduardo 2 Chaves-Silva, Felipe Wallison 2 Conca, Carlos 2 de Figueiredo, Isabel Maria Narra 2 de León Rodríguez, Manuel 2 Esteve, Carlos 2 Feireisl, Eduard 2 Fernández, Luis Alberto 2 Geshkovski, Borjan 2 Gosse, Laurent 2 Haraux, Alain 2 Hernández-Santamaría, Víctor 2 Infante, Juan-Antonio 2 Jaffard, Stéphane 2 Krejčiřík, David 2 Lance, Gontran 2 Lecaros, Rodrigo 2 Lissy, Pierre 2 López-Fernández, María 2 Macià, Fabricio 2 Maity, Debayan 2 Palacios, Francisco 2 Pazoto, Ademir Fernando 2 Rauch, Jeffrey B. 2 Rodríguez-Bernal, Aníbal 2 Tcheugoué Tébou, Louis Roder 2 Vancostenoble, Judith 2 Wang, Gengsheng 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 Cabanillas, Victor R. 1 Casado-Díaz, Juan 1 Cazacu, Cristian M. 1 Cazenave, Thierry 1 Cea, Miguel 1 Choulli, Mourad 1 Ciepliński, Krzysztof 1 Cordero, Luis A. 1 Cortés López, Juan Carlos 1 De Menezes, Silvano Bezerra 1 De Nitti, Nicola 1 Dehman, Belhassen 1 DeVore, Ronald A. 1 Doubova, Anna 1 Duoandikoetxea, Javier 1 Dutykh, Denys ...and 60 more Co-Authors all top 5 Serials 27 Comptes Rendus de l’Académie des Sciences. Série I 22 SIAM Journal on Control and Optimization 20 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal of Differential Equations 10 Archive for Rational Mechanics and Analysis 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 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 6 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 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 Nonlinearity 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 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 SpringerBriefs in Mathematics 1 Houston Journal of Mathematics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Inverse Problems 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 IEEE Transactions on Automatic Control 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 Acta Mathematica Universitatis Comenianae. New Series 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Review 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 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 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathématiques & Applications (Berlin) 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 Pure and Applied Functional Analysis 1 IEEE Control Systems all top 5 Fields 271 Partial differential equations (35-XX) 203 Systems theory; control (93-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 66 Mechanics of deformable solids (74-XX) 54 Numerical analysis (65-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Fluid mechanics (76-XX) 8 Operations research, mathematical programming (90-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 325 Publications have been cited 6,474 times in 3,283 Documents Cited by ▼ Year ▼ Exponential decay for the semilinear wave equation with locally distributed damping. Zbl 0716.35010Zuazua, Enrike 222 1990 The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential. Zbl 0953.35053Vazquez, Juan Luis; Zuazua, Enrike 191 2000 Approximate controllability of the semilinear heat equation. Zbl 0818.93032Fabre, Caroline; Puel, Jean-Pierre; Zuazua, Enrike 176 1995 Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023Fernández-Cara, Enrique; Zuazua, Enrique 171 2000 A direct method for the boundary stabilization of the wave equation. Zbl 0636.93064Komornik, Vilmos; Zuazua, Enrike 158 1990 The cost of approximate controllability for heat equations: The linear case. Zbl 1007.93034Fernández-Cara, Enrique; Zuazua, Enrique 145 2000 Propagation, observation, and control of waves approximated by finite difference methods. Zbl 1077.65095Zuazua, Enrique 140 2005 Controllability and observability of partial differential equations: some results and open problems. Zbl 1193.35234Zuazua, Enrique 124 2007 Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\). Zbl 0762.35011Escobedo, Miguel; Zuazua, Enrike 110 1991 Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070Haraux, A.; Zuazua, E. 107 1988 Uniform stabilization of the wave equation by nonlinear boundary feedback. Zbl 0695.93090Zuazua, Enrike 102 1990 Wave propagation, observation and control in 1-\(d\) flexible multi-structures. Zbl 1083.74002Dáger, René; Zuazua, Enrique 98 2006 On the controllability of parabolic systems with a nonlinear term involving the state and the gradient. Zbl 1038.93041Doubova, A.; Fernández-Cara, E.; González-Burgos, M.; Zuazua, E. 87 2002 On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique 82 2008 The rate at which energy decays in a damped string. Zbl 0818.35072Cox, Steven; Zuazua, Enrique 82 1994 Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501Lebeau, Gilles; Zuazua, Enrique 81 1998 Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017Zuazua, E. 79 1993 Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016Lebeau, Gilles; Zuazua, Enrique 70 1999 The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010Trélat, Emmanuel; Zuazua, Enrique 65 2015 Stabilization of the Korteweg-de Vries equation with localized damping. Zbl 1039.35107Perla Menzala, G.; Vasconcellos, C. F.; Zuazua, E. 65 2002 Boundary observability for the space semi-discretizations of the 1-D wave equation. Zbl 0947.65101Infante, Juan Antonio; Zuazua, Enrique 65 1999 Exponential decay for the semilinear wave equation with localized damping in unbounded domains. Zbl 0765.35010Zuazua, E. 64 1991 Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017Beauchard, Karine; Zuazua, Enrique 62 2011 Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique 60 2003 Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction. Zbl 1178.74075Zhang, Xu; Zuazua, Enrique 60 2007 Exact controllability for the semilinear wave equation. Zbl 0638.49017Zuazua, Enrike 54 1990 Decay of solutions of the system of thermoelasticity of type III. Zbl 1136.74318Zhang, Xu; Zuazua, Enrique 54 2003 The rate at which energy decays in a string damped at one end. Zbl 0847.35078Cox, Steven; Zuazua, Enrique 53 1995 Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Zbl 0807.35059Escobedo, Miguel; Vazquez, Juan Luis; Zuazua, Enrike 53 1993 Long time versus steady state optimal control. Zbl 1287.49006Porretta, Alessio; Zuazua, Enrique 50 2013 Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique 48 2005 Stability and decay for a class of nonlinear hyperbolic problems. Zbl 0677.35069Zuazua, Enrike 47 1988 Decay rates for dissipative wave equations. Zbl 0939.35126Liu, Wei-Jiu; Zuazua, Enrique 46 1999 Polynomial decay and control of a 1D hyperbolic-parabolic coupled system. Zbl 1064.93008Zhang, Xu; Zuazua, Enrique 46 2004 Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Zbl 1033.65080Tcheugoué Tébou, Louis Roder; Zuazua, Enrique 44 2003 Exact controllability and stabilization of a vibrating string with an interior point mass. Zbl 0853.93018Hansen, Scott; Zuazua, Enrique 42 1995 Moments, Dirac deltas and expansion of functions. (Moments, masses de Dirac et décomposition de fonctions.) Zbl 0755.45019Duoandikoetxea, Javier; Zuazua, Enrique 41 1992 Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 41 2017 Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square. Zbl 0939.93016Zuazua, E. 40 1999 Sharp observability estimates for heat equations. Zbl 1251.93040Ervedoza, Sylvain; Zuazua, Enrique 39 2011 Large-time behavior for a simplified 1D model of fluid-solid interaction. Zbl 1071.74017Vázquez, Juan Luis; Zuazua, Enrique 38 2003 Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent. Zbl 0815.35069Feireisl, Eduard; Zuazua, Enrique 38 1993 On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005Wang, Gengsheng; Zuazua, Enrique 35 2012 Stabilization of the wave equation on 1-d networks. Zbl 1203.93184Valein, Julie; Zuazua, Enrique 34 2009 Null controllability for the heat equation with singular inverse-square potentials. Zbl 1145.93009Vancostenoble, J.; Zuazua, E. 34 2008 On the lack of null-controllability of the heat equation on the half-line. Zbl 0969.35022Micu, Sorin; Zuazua, Enrique 33 2001 Finite dimensional null controllability for the semilinear heat equation. Zbl 0872.93014Zuazua, Enrique 33 1997 Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique 33 2014 Controllability of partial differential equations and its semi-discrete approximations. Zbl 1005.35019Zuazua, Enrique 33 2002 Numerical approximation of null controls for the heat equation: ill-posedness and remedies. Zbl 1203.35015Münch, Arnaud; Zuazua, Enrique 33 2010 On the controllability of fractional order parabolic equation. Zbl 1116.93022Micu, Sorin; Zuazua, Enrique 32 2006 Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations. Zbl 1079.35017López, Antonio; Zhang, Xu; Zuazua, Enrique 32 2000 A diffusion-convection equation in several space dimensions. Zbl 0791.35059Escobedo, Miguel; Vázquez, Juan Luis; Zuazua, Enrike 32 1993 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 31 2015 Uniform boundary controllability of a discrete 1-D wave equation. Zbl 1157.93324Negreanu, Mihaela; Zuazua, Enrique 31 2003 Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation. Zbl 1119.65086Tebou, Louis T.; Zuazua, Enrique 31 2007 Stabilization of the Schrödinger equation. Zbl 0814.35008Machtyngier, E.; Zuazua, E. 31 1994 Averaged control. Zbl 1309.93029Zuazua, Enrique 30 2014 Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities. Zbl 0959.93025Zuazua, Enrique 30 1999 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 0611.49028Zuazua, Enrike 29 1987 A systematic method for building smooth controls for smooth data. Zbl 1219.93011Ervedoza, Sylvain; Zuazua, Enrique 29 2010 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 29 2013 Stability results for the wave equation with indefinite damping. Zbl 0878.35067Freitas, Pedro; Zuazua, Enrique 29 1996 Entropy solutions for diffusion-convection equations with partial diffusivity. Zbl 0803.35084Escobedo, M.; Vazquez, J. L.; Zuazua, Enrike 28 1994 On the null controllability of the one-dimensional heat equation with BV coefficients. Zbl 1119.93311Fernández-Cara, Enrique; Zuazua, Enrique 28 2002 Uniformly exponentially stable approximations for a class of damped systems. Zbl 1163.74019Ervedoza, Sylvain; Zuazua, Enrique 28 2009 Controllability of evolution equations with memory. Zbl 1368.93032Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 26 2017 Optimal observation of the one-dimensional wave equation. Zbl 1302.93052Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2013 Numerical approximation of exact controls for waves. Zbl 1282.93001Ervedoza, Sylvain; Zuazua, Enrique 25 2013 Switching control. Zbl 1203.49011Zuazua, Enrique 25 2011 Control and numerical approximation of the wave and heat equations. Zbl 1108.93023Zuazua, Enrique 24 2006 Concentration and lack of observability of waves in highly heterogeneous media. Zbl 1016.35003Castro, C.; Zuazua, E. 24 2002 Lack of collision in a simplified 1D model for fluid-solid interaction. Zbl 1387.35634Vázquez, Juan Luis; Zuazua, Enrique 23 2006 On the lack of observability for wave equations: a Gaussian beam approach. Zbl 1024.35062Macià, Fabricio; Zuazua, Enrique 23 2002 Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043Lazar, Martin; Zuazua, Enrique 23 2014 Numerical dispersive schemes for the nonlinear Schrödinger equation. Zbl 1192.65127Ignat, Liviu I.; Zuazua, Enrique 23 2009 Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass. Zbl 0909.35085Castro, Carlos; Zuazua, Enrique 22 1998 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 22 2018 Null controllability for wave equations with memory. Zbl 1370.93051Lü, Qi; Zhang, Xu; Zuazua, Enrique 22 2017 On the lack of null-controllability of the heat equation on the half space. Zbl 0991.35010Micu, S.; Zuazua, E. 22 2001 Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms. Zbl 0997.93048Cabanillas, V. R.; De Menezes, S. B.; Zuazua, E. 22 2001 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 21 2016 Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131Casas, Eduardo; Vexler, Boris; Zuazua, Enrique 21 2015 Singular internal stabilization of the wave equation. Zbl 0920.35029Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique 21 1998 Complexity of large time behaviour of evolution equations with bounded data. Zbl 1002.35020Vázquez, J. L.; Zuazua, E. 21 2002 Controllability of the linear system of thermoelasticity. Zbl 0846.93008Zuazua, Enrique 21 1995 Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005Casas, E.; Zuazua, E. 21 2013 Some controllability results for the 2D Kolmogorov equation. Zbl 1172.93005Beauchard, K.; Zuazua, E. 21 2009 An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks. Zbl 1160.35012Castro, Carlos; Palacios, Francisco; Zuazua, Enrique 21 2008 Control, observation and polynomial decay for a coupled heat-wave system. Zbl 1029.93037Zhang, Xu; Zuazua, Enrique 20 2003 Identification of the class of initial data for the insensitizing control of the heat equation. Zbl 1152.35387De Teresa, Luz; Zuazua, Enrique 20 2009 Large time behavior for convection-diffusion equations in \(\mathbb{R}^N\) with asymptotically constant diffusion. Zbl 0931.35068Duro, Gema; Zuazua, Enrique 20 1999 Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058Lü, Qi; Zuazua, Enrique 19 2016 Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique 19 2016 Boundary controllability of a linear hybrid system arising in the control of noise. Zbl 0888.35017Micu, Sorin; Zuazua, Enrique 19 1997 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 19 2017 Remarks on long time versus steady state optimal control. Zbl 1369.49008Porretta, Alessio; Zuazua, Enrique 19 2016 Asymptotic expansion for damped wave equations with periodic coefficients. Zbl 1013.35014Orive, R.; Zuazua, E.; Pazoto, A. F. 19 2001 Boundary controllability of the finite-difference space semi-discretizations of the beam equation. Zbl 1063.93025León, Liliana; Zuazua, Enrique 19 2002 Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials. Zbl 1200.35008Vancostenoble, J.; Zuazua, E. 19 2009 Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique 5 2022 Differentiability with respect to the initial condition for Hamilton-Jacobi equations. Zbl 1498.35168Esteve-Yagüe, Carlos; Zuazua, Enrique 1 2022 The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Zbl 1487.35367Jin, Shi; Zhu, Yuhua; Zuazua, Enrique 1 2022 Numerical issues and turnpike phenomenon in optimal shape design. Zbl 1487.49050Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 1 2022 Initial data identification for the one-dimensional Burgers equation. Zbl 07564930Liard, Thibault; Zuazua, Enrique 1 2022 Model predictive control with random batch methods for a guiding problem. Zbl 1476.49038Ko, Dongnam; Zuazua, Enrique 5 2021 Controllability of one-dimensional viscous free boundary flows. Zbl 1467.93034Geshkovski, Borjan; Zuazua, Enrique 3 2021 The turnpike property in nonlinear optimal control – a geometric approach. Zbl 1478.49006Sakamoto, Noboru; Zuazua, Enrique 2 2021 Averaged dynamics and control for heat equations with random diffusion. Zbl 1480.93191Bárcena-Petisco, Jon Asier; Zuazua, Enrique 2 2021 Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems. Zbl 1475.49040Heiland, Jan; Zuazua, Enrique 2 2021 Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 2 2021 Controllability of the one-dimensional fractional heat equation under positivity constraints. Zbl 1446.93012Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 8 2020 Shape turnpike for linear parabolic PDE models. Zbl 1451.93170Lance, Gontran; Trélat, Emmanuel; Zuazua, Enrique 6 2020 Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. Zbl 1451.93033Ruiz-Balet, Domènec; Zuazua, Enrique 6 2020 Asymptotic behavior and control of a “Guidance by repulsion” model. Zbl 1451.93306Ko, Dongnam; Zuazua, Enrique 5 2020 Controllability of shadow reaction-diffusion systems. Zbl 1477.35292Hernández-Santamaría, Víctor; Zuazua, Enrique 5 2020 The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes. Zbl 1453.35189Esteve, Carlos; Zuazua, Enrique 4 2020 Propagation of one- and two-dimensional discrete waves under finite difference approximation. Zbl 1457.35009Biccari, Umberto; Marica, Aurora; Zuazua, Enrique 1 2020 Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. Zbl 1447.93338Cortés, J.-C.; Navarro-Quiles, A.; Romero, J.-V.; Roselló, M.-D.; Zuazua, Enrique 1 2020 Controllability and positivity constraints in population dynamics with age structuring and diffusion. Zbl 1422.93017Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique 16 2019 Internal observability for coupled systems of linear partial differential equations. Zbl 1409.35059Lissy, Pierre; Zuazua, Enrique 14 2019 Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Zbl 1406.35161Pouchol, Camille; Trélat, Emmanuel; Zuazua, Enrique 7 2019 Controllability under positivity constraints of multi-d wave equations. Zbl 1428.35202Pighin, Dario; Zuazua, Enrique 6 2019 Dynamics and control for multi-agent networked systems: a finite-difference approach. Zbl 1428.93017Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique 5 2019 Greedy optimal control for elliptic problems and its application to turnpike problems. Zbl 1408.49018Hernández-Santamaría, Víctor; Lazar, Martin; Zuazua, Enrique 5 2019 A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. Zbl 1408.35110Bianchini, Roberta; Gosse, Laurent; Zuazua, Enrique 2 2019 Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 2 2019 Controllability of a class of infinite dimensional systems with age structure. Zbl 1446.93014Maity, Debayan; Tucsnak, Marius; Zuazua, Enrique 1 2019 Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids. Zbl 1438.35258Morales-Hernández, M.; Zuazua, E. 1 2019 A parabolic approach to the control of opinion spreading. Zbl 1447.91120Ruiz-Balet, Domènec; Zuazua, Enrique 1 2019 Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces. Zbl 1387.49042Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 22 2018 Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142Pighin, Dario; Zuazua, Enrique 11 2018 Local regularity for fractional heat equations. Zbl 1415.35072Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 9 2018 Minimal controllability time for finite-dimensional control systems under state constraints. Zbl 1406.93059Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 8 2018 Allee optimal control of a system in ecology. Zbl 1411.93198Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique 7 2018 Internal controllability for parabolic systems involving analytic non-local terms. Zbl 1391.35187Lissy, Pierre; Zuazua, Enrique 6 2018 Optimal shape design for 2D heat equations in large time. Zbl 1474.35351Trélat, Emmanuel; Zhang, Can; Zuazua, Enrique 1 2018 Local elliptic regularity for the Dirichlet fractional Laplacian. Zbl 1360.35033Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 41 2017 Controllability of evolution equations with memory. Zbl 1368.93032Chaves-Silva, Felipe W.; Zhang, Xu; Zuazua, Enrique 26 2017 Null controllability for wave equations with memory. Zbl 1370.93051Lü, Qi; Zhang, Xu; Zuazua, Enrique 22 2017 Minimal controllability time for the heat equation under unilateral state or control constraints. Zbl 1370.35156Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique 19 2017 Averaged controllability of parameter dependent conservative semigroups. Zbl 1352.93025Lohéac, Jérôme; Zuazua, Enrique 12 2017 Addendum to: “Local elliptic regularity for the Dirichlet fractional Laplacian”. Zbl 06791441Biccari, Umberto; Warma, Mahamadi; Zuazua, Enrique 10 2017 Numerical hypocoercivity for the Kolmogorov equation. Zbl 1351.65059Porretta, Alessio; Zuazua, Enrique 10 2017 Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 8 2017 Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Zbl 1375.35630Gosse, Laurent; Zuazua, Enrique 6 2017 Decay rates for elastic-thermoelastic star-shaped networks. Zbl 1377.35022Han, Zhong-Jie; Zuazua, Enrique 5 2017 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 21 2016 Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058Lü, Qi; Zuazua, Enrique 19 2016 Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique 19 2016 Remarks on long time versus steady state optimal control. Zbl 1369.49008Porretta, Alessio; Zuazua, Enrique 19 2016 Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis. Zbl 1433.65157Ervedoza, Sylvain; Marica, Aurora; Zuazua, Enrique 16 2016 Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 16 2016 Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. Zbl 1341.35085Biccari, Umberto; Zuazua, Enrique 16 2016 On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027Lü, Qi; Zuazua, Enrique 14 2016 From averaged to simultaneous controllability. Zbl 1348.93052Lohéac, Jérôme; Zuazua, Enrique 11 2016 Numerical aspects of large-time optimal control of Burgers equation. Zbl 1350.49036Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique 9 2016 Greedy controllability of finite dimensional linear systems. Zbl 1348.93051Lazar, Martin; Zuazua, Enrique 8 2016 Decay rates for \(1-d\) heat-wave planar networks. Zbl 1355.35023Han, Zhong-Jie; Zuazua, Enrique 7 2016 Stable observation of additive superpositions of partial differential equations. Zbl 1336.93036Zuazua, Enrique 6 2016 Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005Gugat, Martin; Zuazua, Enrique 5 2016 Control of 2D scalar conservation laws in the presence of shocks. Zbl 1336.35239Lecaros, Rodrigo; Zuazua, Enrique 4 2016 Optimal strategies for driving a mobile agent in a “guidance by repulsion” model. Zbl 07249750Escobedo, R.; Ibañez, A.; Zuazua, E. 3 2016 Numerical aspects of sonic-boom minimization. Zbl 1345.49039Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique 2 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 1349.35426Choulli, Mourad; Zuazua, Enrique 1 2016 The turnpike property in finite-dimensional nonlinear optimal control. Zbl 1301.49010Trélat, Emmanuel; Zuazua, Enrique 65 2015 Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 31 2015 Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131Casas, Eduardo; Vexler, Boris; Zuazua, Enrique 21 2015 Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 12 2015 Weak observability estimates for 1-D wave equations with rough coefficients. Zbl 1320.93027Fanelli, Francesco; Zuazua, Enrique 9 2015 Generation of 2D water waves by moving bottom disturbances. Zbl 1330.35338Nersisyan, Hayk; Dutykh, Denys; Zuazua, Enrique 9 2015 Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Zbl 1320.65117Ignat, Liviu I.; Pozo, Alejandro; Zuazua, Enrique 7 2015 Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. Zbl 1375.81163Marica, Aurora; Zuazua, Enrique 6 2015 Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Zbl 1311.65112Lescarret, Vincent; Zuazua, Enrique 4 2015 Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Zbl 1320.65097Ervedoza, Sylvain; Zuazua, Enrique 1 2015 Null controllability of a system of viscoelasticity with a moving control. Zbl 1295.35052Chaves-Silva, Felipe W.; Rosier, Lionel; Zuazua, Enrique 33 2014 Averaged control. Zbl 1309.93029Zuazua, Enrique 30 2014 Averaged control and observation of parameter-depending wave equations. (Contrôle et observation en moyenne d’équations des ondes dépendant de paramètres.) Zbl 1302.35043Lazar, Martin; Zuazua, Enrique 23 2014 Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028Lü, Qi; Zuazua, Enrique 9 2014 Recovery of an initial temperature from discrete sampling. Zbl 1298.35250DeVore, Ronald; Zuazua, Enrique 4 2014 Tracking control of 1D scalar conservation laws in the presence of shocks. Zbl 1325.49032Lecaros, Rodrigo; Zuazua, Enrique 4 2014 Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach. Zbl 1322.65091Marica, Aurora; Zuazua, Enrique 3 2014 Symmetric discontinuous Galerkin methods for 1-D waves. Fourier analysis, propagation, observability and applications. Zbl 1295.65097Marica, Aurora; Zuazua, Enrique 3 2014 Long time versus steady state optimal control. Zbl 1287.49006Porretta, Alessio; Zuazua, Enrique 50 2013 Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 29 2013 Optimal observation of the one-dimensional wave equation. Zbl 1302.93052Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique 25 2013 Numerical approximation of exact controls for waves. Zbl 1282.93001Ervedoza, Sylvain; Zuazua, Enrique 25 2013 Spike controls for elliptic and parabolic PDEs. Zbl 1267.49005Casas, E.; Zuazua, E. 21 2013 Improved multipolar Hardy inequalities. Zbl 1283.35098Cazacu, Cristian; Zuazua, Enrique 15 2013 On the quadratic finite element approximation of 1D waves: propagation, observation, control, and numerical implementation. Zbl 1273.65146Marica, Aurora; Zuazua, Enrique 3 2013 Blowup for a time-oscillating nonlinear heat equation. Zbl 1324.35099Cazenave, Th.; Escobedo, M.; Zuazua, E. 1 2013 Asymptotic expansions for anisotropic heat kernels. Zbl 1263.35208Ignat, Liviu I.; Zuazua, Enrique 1 2013 Sensitivity analysis of \(1-d\) steady forced scalar conservation laws. Zbl 1263.35024Ersoy, Mehmet; Feireisl, Eduard; Zuazua, Enrique 1 2013 On the equivalence of minimal time and minimal norm controls for internally controlled heat equations. Zbl 1257.49005Wang, Gengsheng; Zuazua, Enrique 35 2012 Null controllability of viscous Hamilton-Jacobi equations. Zbl 1244.93027Porretta, Alessio; Zuazua, Enrique 13 2012 Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations. Zbl 1256.65085Ignat, Liviu I.; Zuazua, Enrique 6 2012 On the quadratic finite element approximation of one-dimensional waves: propagation, observation, and control. Zbl 1319.65090Marica, Aurora; Zuazua, Enrique 3 2012 Approximating travelling waves by equilibria of non-local equations. Zbl 1248.35038Arrieta, Jose M.; López-Fernández, María; Zuazua, Enrique 3 2012 A remark on the observability of conservative linear systems. Zbl 1394.35267Zuazua, Enrique 3 2012 Large time asymptotics for partially dissipative hyperbolic systems. Zbl 1237.35017Beauchard, Karine; Zuazua, Enrique 62 2011 ...and 225 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,998 Authors 151 Zuazua, Enrique 44 Cavalcanti, Marcelo Moreira 42 Fernández-Cara, Enrique 37 Xu, Gen-Qi 35 Messaoudi, Salim A. 32 Ammari, Kais 32 Nicaise, Serge 31 Domingos Cavalcanti, Valéria Neves 30 Trélat, Emmanuel 29 Guo, Bao-Zhu 27 Ervedoza, Sylvain 27 Münch, Arnaud 27 Tucsnak, Marius 26 Micu, Sorin 26 Tcheugoué Tébou, Louis Roder 24 Mustafa, Muhammad Islam 23 Kunisch, Karl 23 Pazoto, Ademir Fernando 23 Zhang, Xu 22 Rao, Bopeng 21 Han, Zhongjie 21 Lasiecka, Irena 20 Li, Tatsien 20 Maniar, Lahcen 20 Wang, Gengsheng 19 Coron, Jean-Michel 19 Gugat, Martin 19 Leugering, Günter 19 Limaco, Juan 19 Takahashi, Takéo 19 Warma, Mahamadi 18 Alabau-Boussouira, Fatiha 18 Wang, Junmin 17 de Teresa, Luz 17 González-Burgos, Manuel 17 Ignat, Liviu I. 17 Le Rousseau, Jérôme H. 17 Lü, Qi 17 Privat, Yannick 16 Avdonin, Sergeĭ Anatol’evich 16 Cannarsa, Piermarco 16 Martinez, Patrick 16 Muñoz Rivera, Jaime Edilberto 16 Nakao, Mitsuhiro 15 Araruna, Fágner Dias 15 Kaikina, Elena Igorevna 15 Komornik, Vilmos 15 Lissy, Pierre 15 Vancostenoble, Judith 14 Beauchard, Karine 14 Fu, Xiaoyu 14 Guerrero, Sergio 14 Krejčiřík, David 14 Liu, Xu 14 Rosier, Lionel 14 Said-Houari, Belkacem 13 Benabdallah, Assia 13 Biccari, Umberto 13 Gao, Hang 13 Grüne, Lars 13 Hernández-Santamaría, Víctor 13 Liu, Wenjun 13 Phung, Kim Dang 13 Wang, Lijuan 12 Laurent, Camille 12 Léautaud, Matthieu 12 Park, Jong Yeoul 12 Periago, Francisco 12 Porretta, Alessio 11 Aouadi, Moncef 11 Chaves-Silva, Felipe Wallison 11 Clark, Haroldo Rodrigues 11 Haraux, Alain 11 Krstić, Miroslav 11 Laurençot, Philippe 11 Loreti, Paola 11 Mitra, Debanjana 11 Roventa, Ionel 11 Wehbe, Ali 10 Ammar-Khodja, Farid 10 Balachandran, Krishnan 10 Boyer, Franck 10 Cerpa, Eduardo 10 Cîndea, Nicolae 10 De Menezes, Silvano Bezerra 10 Escobedo Martínez, Miguel 10 Filippas, Stathis 10 Fragnelli, Genni 10 Khemmoudj, Ammar 10 Le Balc’h, Kévin 10 Naumkin, Pavel Ivanovich 10 Ortega, Jaime H. 10 Osses, Axel 10 Pignotti, Cristina 10 Puel, Jean-Pierre 10 Quintanilla de Latorre, Ramón 10 Tertikas, Achilles 10 Wang, Liangwei 10 Yao, Pengfei 9 Berrahmoune, Larbi ...and 2,898 more Authors all top 5 Cited in 372 Serials 205 Journal of Mathematical Analysis and Applications 189 Journal of Differential Equations 171 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 116 SIAM Journal on Control and Optimization 102 Nonlinear Analysis. 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EDP et Applications 6 Inverse Problems 6 Journal of Statistical Physics 6 Numerical Functional Analysis and Optimization 6 SIAM Journal on Numerical Analysis 6 Applications of Mathematics 6 SIAM Journal on Scientific Computing 6 Journal of Inverse and Ill-Posed Problems 6 Journal of Applied Mathematics 6 Advanced Nonlinear Studies 6 Journal of Applied Mathematics and Computing 6 Bulletin of the Brazilian Mathematical Society. New Series 5 Rocky Mountain Journal of Mathematics ...and 272 more Serials all top 5 Cited in 51 Fields 2,581 Partial differential equations (35-XX) 1,455 Systems theory; control (93-XX) 488 Mechanics of deformable solids (74-XX) 393 Calculus of variations and optimal control; optimization (49-XX) 307 Numerical analysis (65-XX) 216 Operator theory (47-XX) 204 Fluid mechanics (76-XX) 142 Ordinary differential equations (34-XX) 123 Real functions (26-XX) 83 Dynamical systems and ergodic theory (37-XX) 81 Functional analysis (46-XX) 70 Probability theory and stochastic processes (60-XX) 69 Biology and other natural sciences (92-XX) 61 Integral equations (45-XX) 46 Global analysis, analysis on manifolds (58-XX) 45 Statistical mechanics, structure of matter (82-XX) 45 Operations research, mathematical programming (90-XX) 43 Quantum theory (81-XX) 33 Classical thermodynamics, heat transfer (80-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 32 Optics, electromagnetic theory (78-XX) 27 Mechanics of particles and systems (70-XX) 19 Differential geometry (53-XX) 13 Difference and functional equations (39-XX) 12 Functions of a complex variable (30-XX) 10 Special functions (33-XX) 9 Potential theory (31-XX) 8 Geophysics (86-XX) 6 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Approximations and expansions (41-XX) 6 Computer science (68-XX) 5 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-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 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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