Edit Profile (opens in new tab) Burq, Nicolas Compute Distance To: Compute Author ID: burq.nicolas Published as: Burq, Nicolas; Burq, N. External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 98 Publications since 1991, including 2 Books Co-Authors: 33 Co-Authors with 71 Joint Publications 786 Co-Co-Authors all top 5 Co-Authors 27 single-authored 22 Tzvetkov, Nikolay 16 Gerard, Patrick 12 Zuily, Claude 10 Alazard, Thomas 9 Zworski, Maciej 7 Planchon, Fabrice 5 Lebeau, Gilles 3 Thomann, Laurent 2 Hassell, Andrew 2 Stalker, John G. 2 Sun, Chenmin 2 Tahvildar-Zadeh, A. Shadi 1 Bony, Jean-François 1 Bouclet, Jean-Marc 1 Bourgain, Jean 1 Christianson, Hans 1 Dos Santos Ferreira, David 1 Ducomet, Bernard 1 Dyatlov, Semyon 1 Georgiev, Vladimir S. 1 Guillarmou, Colin 1 Hitrik, Michael 1 Joly, Romain 1 Krieger, Joachim 1 Krupchyk, Katya 1 Moyano, Iván 1 Ramond, Thierry 1 Raugel, Geneviève 1 Schlag, Wilhelm 1 Schlenker, Jean-Marc 1 Visciglia, Nicola 1 Ward, Rachel A. 1 Wunsch, Jared all top 5 Serials 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Séminaire Équations aux Dérivées Partielles 4 Communications in Mathematical Physics 4 Duke Mathematical Journal 4 Inventiones Mathematicae 3 American Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Mathematical Research Letters 3 Journal of the European Mathematical Society (JEMS) 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis & PDE 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Tokyo Journal of Mathematics 1 Asymptotic Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 AMRX. Applied Mathematics Research eXpress 1 Astérisque 1 RIMS Kôkyûroku Bessatsu 1 Kyoto Journal of Mathematics 1 Pure and Applied Analysis 1 Annales Henri Lebesgue all top 5 Fields 89 Partial differential equations (35-XX) 23 Global analysis, analysis on manifolds (58-XX) 17 Quantum theory (81-XX) 16 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 4 Differential geometry (53-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 2,370 times in 1,326 Documents Cited by ▼ Year ▼ Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 184 2004 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 128 2008 Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line. (Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel.) Zbl 0918.35081Burq, Nicolas 115 1998 Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 115 2003 On the Cauchy problem for gravity water waves. Zbl 1308.35195Alazard, T.; Burq, N.; Zuily, C. 99 2014 A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008Burq, Nicolas; Gérard, Patrick 93 1997 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 88 2008 Geometric control in the presence of a black box. Zbl 1050.35058Burq, Nicolas; Zworski, Maciej 79 2004 On the water-wave equations with surface tension. Zbl 1258.35043Alazard, T.; Burq, N.; Zuily, C. 74 2011 Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 73 2004 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 70 2007 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 70 2005 Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368Burq, Nicolas 57 2002 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 54 2002 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 53 2014 On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074Burq, Nicolas; Planchon, Fabrice 50 2008 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 48 2005 Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019Burq, Nicolas 46 2002 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 46 2008 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 45 2013 Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009Burq, N. 39 1997 Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020Burq, N. 39 2003 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 38 2004 Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024Burq, N. 37 2004 Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015Burq, Nicolas; Hitrik, Michael 36 2007 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 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 25 2003 Control for Schrödinger operators on tori. Zbl 1281.35011Burq, Nicolas; Zworski, Maciej 25 2012 Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew 24 2010 Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102Burq, Nicolas 23 1997 Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140Alazard, Thomas; Burq, Nicolas; Zuily, Claude 22 2011 Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210Burq, Nicolas; Planchon, Fabrice 22 2009 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031Burq, Nicolas; Lebeau, Gilles 22 2013 Bouncing ball modes and quantum chaos. Zbl 1072.81022Burq, Nicolas; Zworski, Maciej 21 2005 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 21 2018 Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227Alazard, T.; Burq, N.; Zuily, C. 21 2016 Resonance expansions in semi-classical propagation. Zbl 1042.81582Burq, Nicolas; Zworski, Maciej 19 2001 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 18 2013 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076Burq, Nicolas; Tzvetkov, Nikolay 18 2007 Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062Burq, Nicolas; Christianson, Hans 16 2015 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 16 2015 The water-wave equations: from Zakharov to Euler. Zbl 1273.35220Alazard, Thomas; Burq, Nicolas; Zuily, Claude 15 2013 Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264Burq, Nicolas; Planchon, Fabrice 14 2006 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 14 2007 Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168Burq, Nicolas; Joly, Romain 13 2016 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 12 2017 Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016Burq, N. 12 2005 Control of the plate equation in the presence of strictly convex obstacles. (Contrôle de l’équation des plaques en présence d’obstacles strictement convexes.) Zbl 0930.93007Burq, Nicolas 11 1993 Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001Alazard, Thomas; Burq, Nicolas; Zuily, Claude 11 2018 Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182Bony, Jean-François; Burq, Nicolas; Ramond, Thierry 11 2010 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033Burq, Nicolas; Zuily, Claude 9 2015 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 7 2012 Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030Burq, Nicolas 6 2020 A stationary phase type estimate. Zbl 1364.35012Alazard, T.; Burq, N.; Zuily, C. 6 2017 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089Burq, Nicolas; Zworski, Maciej 6 2005 Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097Burq, Nicolas; Schlenker, Jean-Marc 6 1998 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024Burq, Nicolas; Lebeau, Gilles 6 2014 Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011Burq, N.; Zuily, C. 6 2016 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070Burq, Nicolas; Gérard, Patrick 5 2020 Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040Burq, N. 5 1991 Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099Burq, Nicolas 5 1997 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 5 2001 Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072Burq, Nicolas 5 2011 Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013Burq, Nicolas; Hassell, Andrew; Wunsch, Jared 4 2007 The Benjamin-Ono equation in energy space. Zbl 1127.35302Burq, Nicolas; Planchon, Fabrice 4 2006 Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306Burq, Nicolas; Zworski, Maciej 4 2019 Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277Alazard, T.; Burq, N.; Zuily, C. 4 2013 Micro-local approach to the control for the plates equation. Zbl 0785.49002Burq, Nicolas; Lebeau, Gilles 3 1992 Strichartz estimates for the perturbations of the long-range Schrödinger operator. (Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrödinger.) Zbl 1292.35188Burq, Nicolas 3 2002 Control theory and high energy eigenfunctions. Zbl 1064.35120Burq, Nicolas; Zworski, Maciej 3 2004 Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008Burq, Nicolas 3 2017 From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya 2 2018 Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342Burq, Nicolas 2 2013 Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066Burq, Nicolas 2 2011 Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040Bouclet, Jean-Marc; Burq, Nicolas 2 2021 Randomization improved Strichartz estimates and global well-posedness for supercritical data. (Estimations de Strichartz améliorées par randomisation et EDPs bien-posées avec données initiales surcritiques.) Zbl 1485.35009Burq, Nicolas; Krieger, Joachim 2 2021 Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211Burq, N.; Ducomet, B. 1 2020 Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026Burq, Nicolas; Sun, Chenmin 1 2022 Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337Burq, Nicolas; Sun, Chenmin 1 2022 Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026Burq, Nicolas; Sun, Chenmin 1 2022 Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337Burq, Nicolas; Sun, Chenmin 1 2022 Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040Bouclet, Jean-Marc; Burq, Nicolas 2 2021 Randomization improved Strichartz estimates and global well-posedness for supercritical data. (Estimations de Strichartz améliorées par randomisation et EDPs bien-posées avec données initiales surcritiques.) Zbl 1485.35009Burq, Nicolas; Krieger, Joachim 2 2021 Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030Burq, Nicolas 6 2020 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070Burq, Nicolas; Gérard, Patrick 5 2020 Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211Burq, N.; Ducomet, B. 1 2020 Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306Burq, Nicolas; Zworski, Maciej 4 2019 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 21 2018 Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001Alazard, Thomas; Burq, Nicolas; Zuily, Claude 11 2018 From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya 2 2018 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 12 2017 A stationary phase type estimate. Zbl 1364.35012Alazard, T.; Burq, N.; Zuily, C. 6 2017 Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008Burq, Nicolas 3 2017 Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227Alazard, T.; Burq, N.; Zuily, C. 21 2016 Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168Burq, Nicolas; Joly, Romain 13 2016 Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011Burq, N.; Zuily, C. 6 2016 Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062Burq, Nicolas; Christianson, Hans 16 2015 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 16 2015 Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033Burq, Nicolas; Zuily, Claude 9 2015 On the Cauchy problem for gravity water waves. Zbl 1308.35195Alazard, T.; Burq, N.; Zuily, C. 99 2014 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387Burq, Nicolas; Tzvetkov, Nikolay 53 2014 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024Burq, Nicolas; Lebeau, Gilles 6 2014 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 45 2013 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031Burq, Nicolas; Lebeau, Gilles 22 2013 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 18 2013 The water-wave equations: from Zakharov to Euler. Zbl 1273.35220Alazard, Thomas; Burq, Nicolas; Zuily, Claude 15 2013 Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277Alazard, T.; Burq, N.; Zuily, C. 4 2013 Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342Burq, Nicolas 2 2013 Control for Schrödinger operators on tori. Zbl 1281.35011Burq, Nicolas; Zworski, Maciej 25 2012 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 7 2012 On the water-wave equations with surface tension. Zbl 1258.35043Alazard, T.; Burq, N.; Zuily, C. 74 2011 Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140Alazard, Thomas; Burq, Nicolas; Zuily, Claude 22 2011 Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072Burq, Nicolas 5 2011 Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066Burq, Nicolas 2 2011 Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew 24 2010 Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182Bony, Jean-François; Burq, Nicolas; Ramond, Thierry 11 2010 Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210Burq, Nicolas; Planchon, Fabrice 22 2009 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062Burq, Nicolas; Tzvetkov, Nikolay 128 2008 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233Burq, Nicolas; Tzvetkov, Nikolay 88 2008 On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074Burq, Nicolas; Planchon, Fabrice 50 2008 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 46 2008 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 70 2007 Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015Burq, Nicolas; Hitrik, Michael 36 2007 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076Burq, Nicolas; Tzvetkov, Nikolay 18 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 14 2007 Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013Burq, Nicolas; Hassell, Andrew; Wunsch, Jared 4 2007 Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264Burq, Nicolas; Planchon, Fabrice 14 2006 The Benjamin-Ono equation in energy space. Zbl 1127.35302Burq, Nicolas; Planchon, Fabrice 4 2006 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 70 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 48 2005 Bouncing ball modes and quantum chaos. Zbl 1072.81022Burq, Nicolas; Zworski, Maciej 21 2005 Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016Burq, N. 12 2005 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089Burq, Nicolas; Zworski, Maciej 6 2005 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 184 2004 Geometric control in the presence of a black box. Zbl 1050.35058Burq, Nicolas; Zworski, Maciej 79 2004 Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 73 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 38 2004 Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024Burq, N. 37 2004 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 Control theory and high energy eigenfunctions. Zbl 1064.35120Burq, Nicolas; Zworski, Maciej 3 2004 Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 115 2003 Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020Burq, N. 39 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 25 2003 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368Burq, Nicolas 57 2002 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 54 2002 Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019Burq, Nicolas 46 2002 Strichartz estimates for the perturbations of the long-range Schrödinger operator. (Estimations de Strichartz pour des perturbations à longue portée de l’opérateur de Schrödinger.) Zbl 1292.35188Burq, Nicolas 3 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 Resonance expansions in semi-classical propagation. Zbl 1042.81582Burq, Nicolas; Zworski, Maciej 19 2001 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 5 2001 Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line. (Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel.) Zbl 0918.35081Burq, Nicolas 115 1998 Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097Burq, Nicolas; Schlenker, Jean-Marc 6 1998 A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008Burq, Nicolas; Gérard, Patrick 93 1997 Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009Burq, N. 39 1997 Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102Burq, Nicolas 23 1997 Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099Burq, Nicolas 5 1997 Control of the plate equation in the presence of strictly convex obstacles. (Contrôle de l’équation des plaques en présence d’obstacles strictement convexes.) Zbl 0930.93007Burq, Nicolas 11 1993 Micro-local approach to the control for the plates equation. Zbl 0785.49002Burq, Nicolas; Lebeau, Gilles 3 1992 Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040Burq, N. 5 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,123 Authors 44 Tzvetkov, Nikolay 43 Burq, Nicolas 29 Oh, Tadahiro 22 Alazard, Thomas 20 Cavalcanti, Marcelo Moreira 20 Zuazua, Enrique 17 Sogge, Christopher D. 16 Christianson, Hans 15 Galkowski, Jeffrey 15 Tataru, Daniel 15 Zhang, Junyong 15 Zheng, Jiqiang 14 Domingos Cavalcanti, Valéria Neves 14 Léautaud, Matthieu 14 Metcalfe, Jason L. 14 Visciglia, Nicola 14 Zworski, Maciej 13 Gerard, Patrick 13 Laurent, Camille 13 Wunsch, Jared 12 Carles, Rémi 12 Datchev, Kiril R. 12 Mizutani, Haruya 12 Spence, Euan A. 12 Thomann, Laurent 11 Cacciafesta, Federico 11 D’Ancona, Piero 11 Fanelli, Luca 11 Ionescu, Alexandru D. 11 Sun, Chenmin 11 Tacy, Melissa 10 Bony, Jean-François 10 de Suzzoni, Anne-Sophie 10 Hassell, Andrew 10 Ifrim, Mihaela 10 Royer, Julien 10 Wang, Yuzhao 9 Ammari, Kais 9 Blair, Matthew D. 9 Bouclet, Jean-Marc 9 Bourgain, Jean 9 Dinh, Van Duong 9 Marzuola, Jeremy Louis 9 Pocovnicu, Oana 9 Privat, Yannick 9 Vodev, Georgi 8 Alabau-Boussouira, Fatiha 8 Aloui, Lassaad 8 Deng, Yu 8 Duyckaerts, Thomas 8 Ervedoza, Sylvain 8 Fu, Xiaoyu 8 Linares, Felipe 8 Macià, Fabricio 8 Pierfelice, Vittoria 8 Ponce, Gustavo 8 Sohinger, Vedran 8 Toth, John Andrew 8 Trélat, Emmanuel 7 Berti, Massimiliano 7 Brzeźniak, Zdzisław 7 Feireisl, Eduard 7 Germain, Pierre 7 Gonzalez Martinez, Victor Hugo 7 Kenig, Carlos Eduardo 7 Khenissi, Moez 7 Pausader, Benoît 7 Planchon, Fabrice 7 Rivière, Gabriel 7 Staffilani, Gigliola 7 Wang, Chengbo 7 Zelditch, Steve 6 Corrêa, Wellington José 6 Dyatlov, Semyon 6 Guo, Zihua 6 Han, Xiaolong 6 Hani, Zaher 6 Herr, Sebastian 6 Ibrahim, Slim 6 Kukavica, Igor 6 Lafontaine, David 6 Lü, Qi 6 Miao, Changxing 6 Nahmod, Andrea R. 6 Ning, Zhenhu 6 Nonnenmacher, Stéphane 6 Pusateri, Fabio 6 Salort, Delphine 6 Schippa, Robert 6 Tcheugoué Tébou, Louis Roder 6 Tohaneanu, Mihai 6 Tucsnak, Marius 6 Yan, Wei 6 Yang, Kai 6 Zhang, Zhifei 6 Zuily, Claude 5 Alexandrova, Ivana 5 Banica, Valeria 5 Bulut, Aynur 5 Canzani, Yaiza ...and 1,023 more Authors all top 5 Cited in 199 Serials 78 Journal of Differential Equations 73 Communications in Partial Differential Equations 69 Communications in Mathematical Physics 60 Journal of Functional Analysis 37 Journal of Mathematical Analysis and Applications 34 Proceedings of the American Mathematical Society 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 31 Archive for Rational Mechanics and Analysis 30 Discrete and Continuous Dynamical Systems 27 SIAM Journal on Mathematical Analysis 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Transactions of the American Mathematical Society 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Mathematical Physics 22 Advances in Mathematics 22 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Analysis & PDE 20 Annales de l’Institut Fourier 20 Mathematische Annalen 18 Inventiones Mathematicae 18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Journal of the European Mathematical Society (JEMS) 18 Communications on Pure and Applied Analysis 17 Annales Henri Poincaré 16 Duke Mathematical Journal 15 SIAM Journal on Control and Optimization 15 The Journal of Geometric Analysis 15 Séminaire Laurent Schwartz. EDP et Applications 12 Bulletin de la Société Mathématique de France 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Journal of Spectral Theory 11 Pure and Applied Analysis 10 Communications on Pure and Applied Mathematics 10 Applied Mathematics and Optimization 10 Stochastic and Partial Differential Equations. Analysis and Computations 9 Applicable Analysis 9 Nonlinearity 9 Journal of Hyperbolic Differential Equations 8 Mathematische Zeitschrift 8 Journal of the American Mathematical Society 8 Geometric and Functional Analysis. GAFA 7 Memoirs of the American Mathematical Society 7 Numerische Mathematik 7 Revista Matemática Iberoamericana 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Communications in Contemporary Mathematics 7 Journal of Evolution Equations 7 Annals of PDE 7 Water Waves 6 Forum Mathematicum 6 Journal of Dynamics and Differential Equations 6 The Journal of Fourier Analysis and Applications 6 Discrete and Continuous Dynamical Systems. Series B 6 Science China. Mathematics 6 Journal de l’École Polytechnique – Mathématiques 5 Systems & Control Letters 5 MCSS. Mathematics of Control, Signals, and Systems 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Mathematical Control and Related Fields 5 Forum of Mathematics, Sigma 4 Journal d’Analyse Mathématique 4 American Journal of Mathematics 4 Journal of the Mathematical Society of Japan 4 Chinese Annals of Mathematics. Series B 4 Probability Theory and Related Fields 4 Potential Analysis 4 Acta Mathematica Sinica. English Series 4 Kyoto Journal of Mathematics 4 Evolution Equations and Control Theory 3 Computers & Mathematics with Applications 3 Inverse Problems 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Integral Equations and Operator Theory 3 Osaka Journal of Mathematics 3 Applied Mathematics Letters 3 Asymptotic Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Bulletin of the American Mathematical Society. New Series 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Mathematical Fluid Mechanics 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Portugaliae Mathematica. Nova Série 3 Journal of Pseudo-Differential Operators and Applications 3 Forum of Mathematics, Pi 3 Mathematics in Engineering 3 Annales Henri Lebesgue 2 Analysis Mathematica 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Reviews in Mathematical Physics 2 The Annals of Probability 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II ...and 99 more Serials all top 5 Cited in 49 Fields 1,185 Partial differential equations (35-XX) 189 Global analysis, analysis on manifolds (58-XX) 169 Systems theory; control (93-XX) 164 Fluid mechanics (76-XX) 142 Quantum theory (81-XX) 123 Operator theory (47-XX) 99 Dynamical systems and ergodic theory (37-XX) 85 Harmonic analysis on Euclidean spaces (42-XX) 66 Probability theory and stochastic processes (60-XX) 44 Numerical analysis (65-XX) 38 Functional analysis (46-XX) 38 Mechanics of deformable solids (74-XX) 28 Differential geometry (53-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 23 Ordinary differential equations (34-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Number theory (11-XX) 22 Relativity and gravitational theory (83-XX) 17 Special functions (33-XX) 14 Optics, electromagnetic theory (78-XX) 12 Topological groups, Lie groups (22-XX) 12 Mechanics of particles and systems (70-XX) 11 Measure and integration (28-XX) 11 Abstract harmonic analysis (43-XX) 10 Real functions (26-XX) 9 Integral transforms, operational calculus (44-XX) 7 Geophysics (86-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 5 Functions of a complex variable (30-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-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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