Edit Profile (opens in new tab) Lebeau, Gilles Compute Distance To: Compute Author ID: lebeau.gilles Published as: Lebeau, Gilles; Lebeau, G. Homepage: http://math.unice.fr/laboratoire/fiche&id=224 External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 124 Publications since 1980, including 5 Books 3 Contributions as Editor Co-Authors: 56 Co-Authors with 80 Joint Publications 1,551 Co-Co-Authors all top 5 Co-Authors 47 single-authored 8 Bardos, Claude Williams 7 Rauch, Jeffrey B. 6 Ivanovici, Oana 6 Planchon, Fabrice 6 Robbiano, Luc 5 Burq, Nicolas 5 Zuazua, Enrique 4 Bismut, Jean-Michel 4 Gerard, Patrick 4 Le Rousseau, Jérôme H. 4 Michel, Laurent 3 Chehade, Samar 3 Darmon, Michel 3 Dehman, Belhassen 3 Delort, Jean-Marc 3 Diaconis, Persi Warren 2 Asch, Mark 2 Brenner, Konstantin 2 Croisille, Jean-Pierre 2 Fabre, Caroline 2 Groza, Mayya 2 Guichard, Cindy 2 Kamotskii, V. V. 2 Masson, Roland 2 Schapira, Pierre 1 Abboud, Toufic 1 Ammari, Habib M. 1 Ammari, Kais 1 Baratchart, Laurent 1 Bony, Jean-Michel 1 Bourquin, Frédéric 1 Boutet de Monvel, Anne Marie 1 Boutet de Monvel, Louis 1 Cassam-Chenaï, Patrick 1 Chaves-Silva, Felipe Wallison 1 Choquet, Gustave 1 Dito, Giuseppe 1 Fueyo, S. 1 Guerrero, Sergio 1 Guillermou, Stéphane 1 Halpern, Laurence 1 Harge, Thierry 1 Jerison, David S. 1 Kamotski, Vladimir V. 1 Kamta Djakou, Audrey 1 Lafitte, Olivier D. 1 Lochak, Pierre 1 Nodet, Maëlle 1 Parusiński, Adam 1 Pomet, Jean-Baptiste 1 Puel, Marjolaine 1 Schatzman, Michelle 1 Schneiders, Jean-Pierre 1 Terpolilli, Peppino 1 Trélat, Emmanuel 1 Zworski, Maciej all top 5 Serials 8 Séminaire Équations aux Dérivées Partielles 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Communications in Partial Differential Equations 6 Comptes Rendus de l’Académie des Sciences. Série I 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Inventiones Mathematicae 3 Journal of Computational Physics 3 Journal of Differential Equations 3 Mathematische Zeitschrift 2 Archive for Rational Mechanics and Analysis 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 SIAM Journal on Control and Optimization 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Experimental Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Astérisque 2 Progress in Nonlinear Differential Equations and Their Applications 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 The Annals of Probability 1 Bulletin de la Société Mathématique de France 1 Bulletin de la Société Royale des Sciences de Liège 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Mathematical Chemistry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Portugaliae Mathematica. Nova Série 1 Journal of the Institute of Mathematics of Jussieu 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Revue du CETHEDEC 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Séminaires et Congrès 1 Analysis & PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Fields 100 Partial differential equations (35-XX) 31 Global analysis, analysis on manifolds (58-XX) 27 Systems theory; control (93-XX) 10 Fluid mechanics (76-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Mechanics of deformable solids (74-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 6 Optics, electromagnetic theory (78-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Ordinary differential equations (34-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 2,448 times in 1,644 Documents Cited by ▼ Year ▼ Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey 577 1992 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 293 1995 Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068Lebeau, G. 124 1996 On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206Le Rousseau, Jérôme; Lebeau, Gilles 93 2012 Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013Lebeau, G. 92 1992 Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093Lebeau, Gilles; Robbiano, Luc 79 1997 Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501Lebeau, Gilles; Zuazua, Enrique 78 1998 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 78 1991 Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016Lebeau, Gilles; Zuazua, Enrique 69 1999 Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098Fabre, Caroline; Lebeau, Gilles 64 1996 Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique 57 2003 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 51 2006 Nodal sets of sums of eigenfunctions. Zbl 0946.35055Jerison, David; Lebeau, Gilles 45 1999 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 44 2008 A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043Lebeau, G.; Schatzman, M. 37 1984 Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009Burq, Nicolas; Lebeau, Gilles 27 2001 Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037Bardos, C.; Lebeau, G.; Rauch, J. 25 1988 Nonlinear optics and supercritical wave equation. Zbl 1034.35137Lebeau, Gilles 24 2001 Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268Dehman, B.; Lebeau, G. 24 2009 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 24 2008 Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland 24 2016 Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020Lebeau, Gilles 23 2005 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 22 2017 Singular optimal control for a transport-diffusion equation. Zbl 1135.35017Guerrero, S.; Lebeau, G. 22 2007 Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058Bardos, C.; Lebeau, G.; Rauch, J. 19 1987 Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053Lebeau, Gilles 18 1992 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031Burq, Nicolas; Lebeau, Gilles 18 2013 Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093Diaconis, Persi; Lebeau, Gilles; Michel, Laurent 17 2011 On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504Lebeau, Gilles 16 2002 Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038Lebeau, Gilles 16 1985 Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501Asch, M.; Lebeau, G. 15 1998 On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011Lebeau, Gilles; Zuazua, Enrique 14 1997 Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033Lebeau, Gilles; Michel, Laurent 14 2010 Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 14 2014 Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143Fabre, Caroline; Lebeau, Gilles 13 2002 The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064Asch, Mark; Lebeau, Gilles 13 2003 Fonctions harmoniques et spectre singulier. Zbl 0446.46035Lebeau, Gilles 13 1980 Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178Chaves-Silva, Felipe W.; Lebeau, Gilles 13 2016 Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019Lebeau, G. 12 1984 Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Diffraction by an immersed elastic wedge. Zbl 0942.35002Croisille, Jean-Pierre; Lebeau, Gilles 11 1999 Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121Harge, Thierry; Lebeau, Gilles 10 1994 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). Zbl 0764.35055Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique 9 1991 Control for hyperbolic equations. Zbl 0779.35005Lebeau, Gilles 8 1992 Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053Diaconis, Persi; Lebeau, Gilles 8 2009 Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405Kamotski, Vladimir V.; Lebeau, Gilles 8 2006 On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114Kamotski, V.; Lebeau, G. 7 2005 Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072Lebeau, Gilles 7 1997 Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015Lebeau, G. 7 1989 The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083Lebeau, Gilles 7 2000 Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491Ivanovici, Oana; Lebeau, Gilles 6 2017 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049Lebeau, G.; Robbiano, L. 6 1995 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 1989 Microlocal ideas in control and stabilization. Zbl 0676.93040Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey 5 1989 Experimental study of the HUM control operator for linear waves. Zbl 1190.35011Lebeau, Gilles; Nodet, Maëlle 5 2010 Deuxième microlocalisation à croissance. Zbl 0518.58037Lebeau, G. 5 1983 Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144Lebeau, Gilles; Puel, Marjolaine 5 2019 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024Burq, Nicolas; Lebeau, Gilles 5 2014 Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland 5 2014 On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles 4 1992 Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091Lebeau, G. 4 1994 A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304Lebeau, Gilles 4 1999 Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088Lebeau, G. 4 1992 Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079Diaconis, Persi; Lebeau, Gilles; Michel, Laurent 4 2012 Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018Lebeau, Gilles 4 2007 Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017Lebeau, Gilles 4 1980 Geometric Fokker-Planck equations. Zbl 1087.58016Lebeau, Gilles 4 2005 New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 3 2021 The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057Lebeau, Gilles 3 1988 Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042Delort, J.-M.; Lebeau, G. 3 1988 Micro-local approach to the control for the plates equation. Zbl 0785.49002Burq, Nicolas; Lebeau, Gilles 3 1992 On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058Lebeau, G.; Lochak, P. 2 1987 Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 2 2021 Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108Lafitte, Olivier; Lebeau, Gilles 2 1993 Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061Lebeau, Gilles 2 1995 Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles 2 1991 Control for hyperbolic equations. Zbl 0793.93072Lebeau, Gilles 2 1993 Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101Lebeau, G. 2 1989 Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004Lebeau, G. 2 1990 Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512Lebeau, Gilles 2 2000 Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032Lebeau, Gilles 2 1982 Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre 2 2016 Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022Lebeau, Gilles 2 2015 Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 2 2017 Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007Lebeau, G. 1 1982 Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025Bardos, C.; Lebeau, G.; Rauch, J. 1 1987 Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110Lebeau, G. 1 1996 Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129Abboud, Toufic; Ammari, Habib; Lebeau, Gilles 1 1995 Stabilization of the wave equation by the boundary. Zbl 0856.35074Lebeau, Gilles; Robbiano, Luc 1 1996 Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053Lebeau, Gilles 1 1991 Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015Lebeau, G. 1 1986 Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047Delort, Jean-Marc; Lebeau, Gilles 1 1986 Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503Lebeau, Gilles 1 2001 Non holonomie dans un problème de diffraction. Zbl 0446.35020Lebeau, G. 1 1980 Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207Lebeau, Gilles; Zworski, Maciej 1 2019 The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles 1 2019 New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 3 2021 Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 2 2021 Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144Lebeau, Gilles; Puel, Marjolaine 5 2019 Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207Lebeau, Gilles; Zworski, Maciej 1 2019 The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles 1 2019 Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel 22 2017 Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491Ivanovici, Oana; Lebeau, Gilles 6 2017 Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 2 2017 Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland 24 2016 Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178Chaves-Silva, Felipe W.; Lebeau, Gilles 13 2016 Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre 2 2016 Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022Lebeau, Gilles 2 2015 Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice 14 2014 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024Burq, Nicolas; Lebeau, Gilles 5 2014 Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland 5 2014 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031Burq, Nicolas; Lebeau, Gilles 18 2013 On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206Le Rousseau, Jérôme; Lebeau, Gilles 93 2012 Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079Diaconis, Persi; Lebeau, Gilles; Michel, Laurent 4 2012 Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093Diaconis, Persi; Lebeau, Gilles; Michel, Laurent 17 2011 Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033Lebeau, Gilles; Michel, Laurent 14 2010 Experimental study of the HUM control operator for linear waves. Zbl 1190.35011Lebeau, Gilles; Nodet, Maëlle 5 2010 Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268Dehman, B.; Lebeau, G. 24 2009 Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053Diaconis, Persi; Lebeau, Gilles 8 2009 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 44 2008 The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001Bismut, Jean-Michel; Lebeau, Gilles 24 2008 Singular optimal control for a transport-diffusion equation. Zbl 1135.35017Guerrero, S.; Lebeau, G. 22 2007 Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018Lebeau, Gilles 4 2007 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 51 2006 Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405Kamotski, Vladimir V.; Lebeau, Gilles 8 2006 Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020Lebeau, Gilles 23 2005 On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114Kamotski, V.; Lebeau, G. 7 2005 Geometric Fokker-Planck equations. Zbl 1087.58016Lebeau, Gilles 4 2005 The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024Bismut, Jean-Michel; Lebeau, Gilles 3 2005 Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique 57 2003 The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064Asch, Mark; Lebeau, Gilles 13 2003 On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504Lebeau, Gilles 16 2002 Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143Fabre, Caroline; Lebeau, Gilles 13 2002 Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009Burq, Nicolas; Lebeau, Gilles 27 2001 Nonlinear optics and supercritical wave equation. Zbl 1034.35137Lebeau, Gilles 24 2001 Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503Lebeau, Gilles 1 2001 The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083Lebeau, Gilles 7 2000 Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512Lebeau, Gilles 2 2000 Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016Lebeau, Gilles; Zuazua, Enrique 69 1999 Nodal sets of sums of eigenfunctions. Zbl 0946.35055Jerison, David; Lebeau, Gilles 45 1999 Diffraction by an immersed elastic wedge. Zbl 0942.35002Croisille, Jean-Pierre; Lebeau, Gilles 11 1999 A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304Lebeau, Gilles 4 1999 Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501Lebeau, Gilles; Zuazua, Enrique 78 1998 Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501Asch, M.; Lebeau, G. 15 1998 Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093Lebeau, Gilles; Robbiano, Luc 79 1997 On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011Lebeau, Gilles; Zuazua, Enrique 14 1997 Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072Lebeau, Gilles 7 1997 Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068Lebeau, G. 124 1996 Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098Fabre, Caroline; Lebeau, Gilles 64 1996 Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110Lebeau, G. 1 1996 Stabilization of the wave equation by the boundary. Zbl 0856.35074Lebeau, Gilles; Robbiano, Luc 1 1996 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071Lebeau, G.; Robbiano, L. 293 1995 Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049Lebeau, G.; Robbiano, L. 6 1995 Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061Lebeau, Gilles 2 1995 Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129Abboud, Toufic; Ammari, Habib; Lebeau, Gilles 1 1995 Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121Harge, Thierry; Lebeau, Gilles 10 1994 Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091Lebeau, G. 4 1994 Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108Lafitte, Olivier; Lebeau, Gilles 2 1993 Control for hyperbolic equations. Zbl 0793.93072Lebeau, Gilles 2 1993 Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey 577 1992 Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013Lebeau, G. 92 1992 Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053Lebeau, Gilles 18 1992 Control for hyperbolic equations. Zbl 0779.35005Lebeau, Gilles 8 1992 On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles 4 1992 Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088Lebeau, G. 4 1992 Micro-local approach to the control for the plates equation. Zbl 0785.49002Burq, Nicolas; Lebeau, Gilles 3 1992 Complex immersions and Quillen metrics. Zbl 0784.32010Bismut, Jean-Michel; Lebeau, Gilles 78 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). Zbl 0764.35055Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique 9 1991 Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles 2 1991 Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053Lebeau, Gilles 1 1991 Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004Lebeau, G. 2 1990 Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015Lebeau, G. 7 1989 Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034Bismut, Jean-Michel; Lebeau, Gilles 6 1989 Microlocal ideas in control and stabilization. Zbl 0676.93040Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey 5 1989 Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101Lebeau, G. 2 1989 Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037Bardos, C.; Lebeau, G.; Rauch, J. 25 1988 Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057Lebeau, Gilles 3 1988 Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042Delort, J.-M.; Lebeau, G. 3 1988 Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058Bardos, C.; Lebeau, G.; Rauch, J. 19 1987 On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058Lebeau, G.; Lochak, P. 2 1987 Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025Bardos, C.; Lebeau, G.; Rauch, J. 1 1987 Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015Lebeau, G. 1 1986 Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047Delort, Jean-Marc; Lebeau, Gilles 1 1986 Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038Lebeau, Gilles 16 1985 A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043Lebeau, G.; Schatzman, M. 37 1984 Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019Lebeau, G. 12 1984 Deuxième microlocalisation à croissance. Zbl 0518.58037Lebeau, G. 5 1983 Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032Lebeau, Gilles 2 1982 Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007Lebeau, G. 1 1982 Fonctions harmoniques et spectre singulier. Zbl 0446.46035Lebeau, Gilles 13 1980 Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017Lebeau, Gilles 4 1980 Non holonomie dans un problème de diffraction. Zbl 0446.35020Lebeau, G. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 1,393 Authors 50 Zuazua, Enrique 36 Lebeau, Gilles 31 Ammari, Kais 30 Cavalcanti, Marcelo Moreira 24 Tcheugoué Tébou, Louis Roder 23 Domingos Cavalcanti, Valéria Neves 22 Burq, Nicolas 21 Bismut, Jean-Michel 20 Léautaud, Matthieu 20 Münch, Arnaud 19 Lasiecka, Irena 19 Ma, Xiaonan 19 Rao, Bopeng 18 Beauchard, Karine 18 Ervedoza, Sylvain 18 Yamamoto, Masahiro 17 Fernández-Cara, Enrique 17 Nicaise, Serge 16 Le Rousseau, Jérôme H. 16 Oksanen, Lauri 16 Zhang, Xu 15 Alabau-Boussouira, Fatiha 15 Laurent, Camille 15 Lü, Qi 15 Tucsnak, Marius 15 Zhang, Weiping 14 Bellassoued, Mourad 14 Li, Tatsien 14 Maniar, Lahcen 13 Masson, Roland 13 Robbiano, Luc 13 Rosier, Lionel 13 Trélat, Emmanuel 12 Benabdallah, Assia 12 Imanuvilov, Oleg Yu. 11 Chaves-Silva, Felipe Wallison 11 de Teresa, Luz 11 González-Burgos, Manuel 11 Takahashi, Takéo 10 Aloui, Lassaad 10 Ammar-Khodja, Farid 10 Aouadi, Moncef 10 Dardé, Jérémi 10 Fu, Xiaoyu 10 Le Balc’h, Kévin 10 Phung, Kim Dang 10 Puel, Jean-Pierre 10 Triggiani, Roberto 10 Wehbe, Ali 9 Guerrero, Sergio 9 Ivanovici, Oana 9 Kian, Yavar 9 Martinez, Patrick 9 Miller, Luc 9 Privat, Yannick 9 Royer, Julien 9 Tautenhahn, Martin 9 Wang, Gengsheng 9 Zworski, Maciej 8 Boyer, Franck 8 Brenner, Konstantin 8 Burman, Erik 8 Cannarsa, Piermarco 8 Choulli, Mourad 8 Fragnelli, Genni 8 Hernández-Santamaría, Víctor 8 Lissy, Pierre 8 Pignotti, Cristina 8 Raymond, Jean-Pierre 8 Renard, Yves 8 Rüland, Angkana 8 Vancostenoble, Judith 8 Zhang, Qiong 7 Corrêa, Wellington José 7 Daoulatli, Moez 7 Glass, Olivier 7 Gonzalez Martinez, Victor Hugo 7 Ludwig, Ursula Beate 7 Marinescu, George 7 Micu, Sorin 7 Ning, Zhenhu 7 Ouzahra, Mohamed 7 Quintanilla de Latorre, Ramón 7 Sjöstrand, Johannes 7 Tzvetkov, Nikolay 7 Veselić, Ivan 7 Vodev, Georgi 6 Ainseba, Bedr’Eddine 6 Alazard, Thomas 6 Ammari, Habib M. 6 Carles, Rémi 6 Cerpa, Eduardo 6 Christianson, Hans 6 Cîndea, Nicolae 6 Coron, Jean-Michel 6 Diaconis, Persi Warren 6 Droniou, Jérôme 6 Hassine, Fathi 6 Ibrahim, Slim 6 Joly, Romain ...and 1,293 more Authors all top 5 Cited in 276 Serials 96 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 88 Journal of Differential Equations 81 Comptes Rendus. Mathématique. Académie des Sciences, Paris 68 Journal of Mathematical Analysis and Applications 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 51 Communications in Partial Differential Equations 43 SIAM Journal on Control and Optimization 39 Journal of Functional Analysis 35 Mathematical Control and Related Fields 30 Systems & Control Letters 27 Communications in Mathematical Physics 25 Applicable Analysis 25 Evolution Equations and Control Theory 22 Applied Mathematics and Optimization 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Archive for Rational Mechanics and Analysis 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of the European Mathematical Society (JEMS) 17 MCSS. Mathematics of Control, Signals, and Systems 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Annales de l’Institut Fourier 16 Duke Mathematical Journal 16 Transactions of the American Mathematical Society 15 Journal of Evolution Equations 14 Inventiones Mathematicae 13 Mathematical Methods in the Applied Sciences 13 Journal of Optimization Theory and Applications 13 Mathematische Zeitschrift 13 SIAM Journal on Mathematical Analysis 13 Discrete and Continuous Dynamical Systems 12 Mathematische Annalen 11 Journal of Computational Physics 11 Advances in Mathematics 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Applied Mathematics Letters 11 Journal of Mathematical Sciences (New York) 11 Annales Henri Poincaré 10 Applied Mathematics and Computation 10 Chinese Annals of Mathematics. Series B 10 Séminaire Laurent Schwartz. EDP et Applications 9 Journal of Mathematical Physics 9 Automatica 9 Numerische Mathematik 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Discrete and Continuous Dynamical Systems. Series B 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Journal de l’École Polytechnique – Mathématiques 8 Proceedings of the American Mathematical Society 8 Acta Applicandae Mathematicae 8 The Journal of Geometric Analysis 8 Acta Mathematica Sinica. English Series 8 Communications in Contemporary Mathematics 8 Communications on Pure and Applied Analysis 7 Computers & Mathematics with Applications 7 Journal of Dynamics and Differential Equations 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Dynamical and Control Systems 7 Inverse Problems and Imaging 7 Discrete and Continuous Dynamical Systems. Series S 6 Inverse Problems 6 Journal d’Analyse Mathématique 6 Journal of Statistical Physics 6 Journal of Computational and Applied Mathematics 6 Journal of the Institute of Mathematics of Jussieu 6 Science China. Mathematics 6 Annales Henri Lebesgue 5 Computer Methods in Applied Mechanics and Engineering 5 Israel Journal of Mathematics 5 Memoirs of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Journal of the American Mathematical Society 5 Asymptotic Analysis 5 European Journal of Applied Mathematics 5 St. Petersburg Mathematical Journal 5 Advances in Computational Mathematics 5 Journal of Systems Science and Complexity 4 Letters in Mathematical Physics 4 Quarterly of Applied Mathematics 4 The Annals of Applied Probability 4 SIAM Journal on Applied Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Journal of Inverse and Ill-Posed Problems 4 European Journal of Control 4 Vietnam Journal of Mathematics 4 Computational Geosciences 4 Portugaliae Mathematica. Nova Série 4 Advances in Difference Equations 4 Analysis & PDE 4 S\(\vec{\text{e}}\)MA Journal 4 Mathematics in Engineering 3 International Journal of Control 3 Nonlinearity 3 Mathematics of Computation 3 Acta Mathematica 3 Bulletin de la Société Mathématique de France 3 Integral Equations and Operator Theory 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 SIAM Journal on Numerical Analysis 3 Stochastic Analysis and Applications ...and 176 more Serials all top 5 Cited in 55 Fields 1,279 Partial differential equations (35-XX) 717 Systems theory; control (93-XX) 213 Mechanics of deformable solids (74-XX) 192 Global analysis, analysis on manifolds (58-XX) 131 Fluid mechanics (76-XX) 126 Numerical analysis (65-XX) 108 Operator theory (47-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 53 Quantum theory (81-XX) 49 Probability theory and stochastic processes (60-XX) 46 Differential geometry (53-XX) 43 Dynamical systems and ergodic theory (37-XX) 39 Several complex variables and analytic spaces (32-XX) 38 Optics, electromagnetic theory (78-XX) 33 Ordinary differential equations (34-XX) 25 Biology and other natural sciences (92-XX) 23 Functional analysis (46-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Integral equations (45-XX) 18 Manifolds and cell complexes (57-XX) 16 Algebraic geometry (14-XX) 13 Number theory (11-XX) 13 Functions of a complex variable (30-XX) 12 Real functions (26-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Special functions (33-XX) 8 Mechanics of particles and systems (70-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 \(K\)-theory (19-XX) 5 Difference and functional equations (39-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-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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