Edit Profile (opens in new tab) Burq, Nicolas Co-Author Distance Author ID: burq.nicolas Published as: Burq, Nicolas; Burq, N. External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 118 Publications since 1991, including 2 Books and 15 Additional arXiv Preprints Co-Authors: 38 Co-Authors with 91 Joint Publications 916 Co-Co-Authors all top 5 Co-Authors 27 single-authored 23 Tzvetkov, Nikolay 17 Gerard, Patrick 16 Zuily, Claude 11 Alazard, Thomas 11 Zworski, Maciej 7 Planchon, Fabrice 6 Thomann, Laurent 5 Lebeau, Gilles 4 Moyano, Iván 3 Sun, Chenmin 2 Banica, Valeria 2 Dehman, Belhassen 2 Hassell, Andrew 2 Raugel, Geneviève 2 Rousseau, Jérôme Le 2 Schlag, Wilhelm 2 Stalker, John G. 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 Poiret, Aurélien 1 Ramond, Thierry 1 Schippa, Robert 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 4 Proceedings of the American Mathematical Society 3 American Journal of Mathematics 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 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 1 Portugaliae Mathematica all top 5 Fields 97 Partial differential equations (35-XX) 25 Global analysis, analysis on manifolds (58-XX) 18 Systems theory; control (93-XX) 17 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Optics, electromagnetic theory (78-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-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 87 Publications have been cited 2,719 times in 1,521 Documents Cited by ▼ Year ▼ Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027 Burq, N.; Gérard, P.; Tzvetkov, N. 204 2004 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062 Burq, Nicolas; Tzvetkov, Nikolay 148 2008 Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024 Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 135 2003 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 0918.35081 Burq, Nicolas 134 1998 On the Cauchy problem for gravity water waves. Zbl 1308.35195 Alazard, T.; Burq, N.; Zuily, C. 120 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 0906.93008 Burq, Nicolas; Gérard, Patrick 105 1997 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233 Burq, Nicolas; Tzvetkov, Nikolay 105 2008 On the water-wave equations with surface tension. Zbl 1258.35043 Alazard, T.; Burq, N.; Zuily, C. 88 2011 Geometric control in the presence of a black box. Zbl 1050.35058 Burq, Nicolas; Zworski, Maciej 86 2004 Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014 Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 81 2004 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099 Burq, N.; Gérard, P.; Tzvetkov, N. 78 2005 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053 Burq, N.; Gérard, P.; Tzvetkov, N. 74 2007 Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368 Burq, Nicolas 65 2002 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387 Burq, Nicolas; Tzvetkov, Nikolay 59 2014 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113 Burq, N.; Gérard, P.; Tzvetkov, N. 58 2002 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 56 2005 On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074 Burq, Nicolas; Planchon, Fabrice 54 2008 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119 Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 54 2008 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 50 2013 Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019 Burq, Nicolas 48 2002 Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024 Burq, N. 45 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126 Burq, N.; Gérard, P.; Tzvetkov, N. 45 2004 Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020 Burq, N. 44 2003 Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009 Burq, N. 43 1997 Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015 Burq, Nicolas; Hitrik, Michael 39 2007 Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009 Burq, Nicolas; Lebeau, Gilles 31 2001 Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102 Burq, Nicolas 29 1997 Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227 Alazard, T.; Burq, N.; Zuily, C. 27 2016 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084 Burq, N.; Gérard, P.; Tzvetkov, N. 26 2003 Control for Schrödinger operators on tori. Zbl 1281.35011 Burq, Nicolas; Zworski, Maciej 26 2012 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031 Burq, Nicolas; Lebeau, Gilles 26 2013 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 26 2018 Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009 Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew 25 2010 Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210 Burq, Nicolas; Planchon, Fabrice 23 2009 Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 22 2011 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016 Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 22 2013 Bouncing ball modes and quantum chaos. Zbl 1072.81022 Burq, Nicolas; Zworski, Maciej 21 2005 Resonance expansions in semi-classical propagation. Zbl 1042.81582 Burq, Nicolas; Zworski, Maciej 21 2001 Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168 Burq, Nicolas; Joly, Romain 20 2016 Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062 Burq, Nicolas; Christianson, Hans 20 2015 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076 Burq, Nicolas; Tzvetkov, Nikolay 18 2007 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 18 2015 Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264 Burq, Nicolas; Planchon, Fabrice 17 2006 The water-wave equations: from Zakharov to Euler. Zbl 1273.35220 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 16 2013 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475 Burq, N.; Gérard, P.; Tzvetkov, N. 15 2007 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041 Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 14 2017 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 0930.93007 Burq, Nicolas 14 1993 Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 13 2018 Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016 Burq, N. 12 2005 Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182 Bony, Jean-François; Burq, Nicolas; Ramond, Thierry 12 2010 Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030 Burq, Nicolas 11 2020 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033 Burq, Nicolas; Zuily, Claude 9 2015 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070 Burq, Nicolas; Gérard, Patrick 9 2020 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011 Burq, N.; Zuily, C. 8 2016 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024 Burq, Nicolas; Lebeau, Gilles 8 2014 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004 Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097 Burq, Nicolas; Schlenker, Jean-Marc 7 1998 Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306 Burq, Nicolas; Zworski, Maciej 7 2019 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089 Burq, Nicolas; Zworski, Maciej 6 2005 Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040 Burq, N. 6 1991 A stationary phase type estimate. Zbl 1364.35012 Alazard, T.; Burq, N.; Zuily, C. 6 2017 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 6 2001 The Benjamin-Ono equation in energy space. Zbl 1127.35302 Burq, Nicolas; Planchon, Fabrice 5 2006 Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072 Burq, Nicolas 5 2011 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086 Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099 Burq, Nicolas 5 1997 Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277 Alazard, T.; Burq, N.; Zuily, C. 5 2013 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 1485.35009 Burq, Nicolas; Krieger, Joachim 5 2021 Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013 Burq, Nicolas; Hassell, Andrew; Wunsch, Jared 4 2007 Micro-local approach to the control for the plates equation. Zbl 0785.49002 Burq, Nicolas; Lebeau, Gilles 4 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 1292.35188 Burq, Nicolas 4 2002 Propagation of smallness and control for heat equations. Zbl 1514.35068 Burq, Nicolas; Moyano, Iván 4 2023 Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026 Burq, Nicolas; Sun, Chenmin 4 2022 Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066 Burq, Nicolas 3 2011 Control theory and high energy eigenfunctions. Zbl 1064.35120 Burq, Nicolas; Zworski, Maciej 3 2004 Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008 Burq, Nicolas 3 2017 Decay for the Kelvin-Voigt damped wave equation: piecewise smooth damping. Zbl 1522.35064 Burq, Nicolas; Sun, Chenmin 3 2022 Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337 Burq, Nicolas; Sun, Chenmin 3 2022 Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040 Bouclet, Jean-Marc; Burq, Nicolas 3 2021 From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013 Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya 3 2018 Cauchy theory for the water waves system in an analytic framework. Zbl 1496.35287 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 2 2022 Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342 Burq, Nicolas 2 2013 Cauchy problem and Kato smoothing for water waves with surface tension. Zbl 1225.35040 Alazard, T.; Burq, N.; Zuily, C. 1 2010 Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211 Burq, N.; Ducomet, B. 1 2020 A remark on quantitative unique continuation from subsets of the boundary of positive measure. Zbl 1520.35048 Burq, Nicolas; Zuily, Claude 1 2023 Propagation of smallness and control for heat equations. Zbl 1514.35068 Burq, Nicolas; Moyano, Iván 4 2023 A remark on quantitative unique continuation from subsets of the boundary of positive measure. Zbl 1520.35048 Burq, Nicolas; Zuily, Claude 1 2023 Decay rates for Kelvin-Voigt damped wave equations. II: The geometric control condition. Zbl 1483.35026 Burq, Nicolas; Sun, Chenmin 4 2022 Decay for the Kelvin-Voigt damped wave equation: piecewise smooth damping. Zbl 1522.35064 Burq, Nicolas; Sun, Chenmin 3 2022 Time optimal observability for Grushin Schrödinger equation. Zbl 1501.35337 Burq, Nicolas; Sun, Chenmin 3 2022 Cauchy theory for the water waves system in an analytic framework. Zbl 1496.35287 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 2 2022 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 1485.35009 Burq, Nicolas; Krieger, Joachim 5 2021 Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040 Bouclet, Jean-Marc; Burq, Nicolas 3 2021 Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. Zbl 1452.35030 Burq, Nicolas 11 2020 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070 Burq, Nicolas; Gérard, Patrick 9 2020 Decay of local energy for solutions of the free Schrödinger equation in exterior domains. Zbl 1455.35211 Burq, 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 1421.35306 Burq, Nicolas; Zworski, Maciej 7 2019 Remarks on the Gibbs measures for nonlinear dispersive equations. Zbl 1405.35193 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 26 2018 Strichartz estimates and the Cauchy problem for the gravity water waves equations. Zbl 1447.35001 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 13 2018 From semiclassical Strichartz estimates to uniform \(L^p\) resolvent estimates on compact manifolds. Zbl 1414.58013 Burq, Nicolas; Ferreira, David Dos Santos; Krupchyk, Katya 3 2018 Long time dynamics for damped Klein-Gordon equations. (Dynamique en temps grand des solutions de l’équation de Klein-Gordon amortie.) Zbl 1392.35041 Burq, Nicolas; Raugel, Geneviève; Schlag, Wilhelm 14 2017 A stationary phase type estimate. Zbl 1364.35012 Alazard, T.; Burq, N.; Zuily, C. 6 2017 Second microlocalization and stabilization of damped wave equations on tori. Zbl 1383.35008 Burq, Nicolas 3 2017 Cauchy theory for the gravity water waves system with non-localized initial data. Zbl 1339.35227 Alazard, T.; Burq, N.; Zuily, C. 27 2016 Exponential decay for the damped wave equation in unbounded domains. Zbl 1351.35168 Burq, Nicolas; Joly, Romain 20 2016 Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation. Zbl 1366.58011 Burq, N.; Zuily, C. 8 2016 Imperfect geometric control and overdamping for the damped wave equation. Zbl 1320.35062 Burq, Nicolas; Christianson, Hans 20 2015 Global infinite energy solutions for the cubic wave equation. (Solutions globales d’énergie infinie pour l’équation des ondes cubique.) Zbl 1320.35217 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 18 2015 Laplace eigenfunctions and damped wave equation on product manifolds. Zbl 1331.58033 Burq, Nicolas; Zuily, Claude 9 2015 On the Cauchy problem for gravity water waves. Zbl 1308.35195 Alazard, T.; Burq, N.; Zuily, C. 120 2014 Probabilistic well-posedness for the cubic wave equation. Zbl 1295.35387 Burq, Nicolas; Tzvetkov, Nikolay 59 2014 Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024 Burq, Nicolas; Lebeau, Gilles 8 2014 Long time dynamics for the one dimensional non linear Schrödinger equation. (Dynamiques en temps long pour l’équation de Schrödinger non linéaire.) Zbl 1317.35226 Burq, Nicolas; Thomann, Laurent; Tzvetkov, Nikolay 50 2013 Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031 Burq, Nicolas; Lebeau, Gilles 26 2013 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016 Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 22 2013 The water-wave equations: from Zakharov to Euler. Zbl 1273.35220 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 16 2013 Low regularity Cauchy theory for the water-waves problem: canals and wave pools. Zbl 1348.35277 Alazard, T.; Burq, N.; Zuily, C. 5 2013 Semiclassical measures for inhomogeneous Schrödinger equations on tori. Zbl 1480.35342 Burq, Nicolas 2 2013 Control for Schrödinger operators on tori. Zbl 1281.35011 Burq, Nicolas; Zworski, Maciej 26 2012 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004 Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 On the water-wave equations with surface tension. Zbl 1258.35043 Alazard, T.; Burq, N.; Zuily, C. 88 2011 Strichartz estimates for water waves. (Estimées de Strichartz pour les ondes de surface.) Zbl 1260.35140 Alazard, Thomas; Burq, Nicolas; Zuily, Claude 22 2011 Large-time dynamics for the one-dimensional Schrödinger equation. Zbl 1226.35072 Burq, Nicolas 5 2011 Random data Cauchy theory for dispersive partial differential equations. Zbl 1230.35066 Burq, Nicolas 3 2011 Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009 Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew 25 2010 Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182 Bony, Jean-François; Burq, Nicolas; Ramond, Thierry 12 2010 Cauchy problem and Kato smoothing for water waves with surface tension. Zbl 1225.35040 Alazard, T.; Burq, N.; Zuily, C. 1 2010 Global existence for energy critical waves in 3-D domains: Neumann boundary conditions. Zbl 1184.35210 Burq, Nicolas; Planchon, Fabrice 23 2009 Random data Cauchy theory for supercritical wave equations I: Local theory. Zbl 1156.35062 Burq, Nicolas; Tzvetkov, Nikolay 148 2008 Random data Cauchy theory for supercritical wave equations. II. A global existence result. Zbl 1187.35233 Burq, Nicolas; Tzvetkov, Nikolay 105 2008 On well-posedness for the Benjamin-Ono equation. Zbl 1148.35074 Burq, Nicolas; Planchon, Fabrice 54 2008 Global existence for energy critical waves in 3-D domains. Zbl 1204.35119 Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice 54 2008 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053 Burq, N.; Gérard, P.; Tzvetkov, N. 74 2007 Energy decay for damped wave equations on partially rectangular domains. Zbl 1122.35015 Burq, Nicolas; Hitrik, Michael 39 2007 Invariant measure for a three dimensional nonlinear wave equation. Zbl 1134.35076 Burq, Nicolas; Tzvetkov, Nikolay 18 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475 Burq, N.; Gérard, P.; Tzvetkov, N. 15 2007 Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013 Burq, Nicolas; Hassell, Andrew; Wunsch, Jared 4 2007 Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. Zbl 1293.35264 Burq, Nicolas; Planchon, Fabrice 17 2006 The Benjamin-Ono equation in energy space. Zbl 1127.35302 Burq, Nicolas; Planchon, Fabrice 5 2006 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099 Burq, N.; Gérard, P.; Tzvetkov, N. 78 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 56 2005 Bouncing ball modes and quantum chaos. Zbl 1072.81022 Burq, Nicolas; Zworski, Maciej 21 2005 Quantum ergodicity of boundary values of eigenfunctions: a control theory approach. Zbl 1069.58016 Burq, N. 12 2005 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089 Burq, Nicolas; Zworski, Maciej 6 2005 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027 Burq, N.; Gérard, P.; Tzvetkov, N. 204 2004 Geometric control in the presence of a black box. Zbl 1050.35058 Burq, Nicolas; Zworski, Maciej 86 2004 Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Zbl 1084.35014 Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 81 2004 Smoothing effect for Schrödinger boundary value problems. Zbl 1061.35024 Burq, N. 45 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126 Burq, N.; Gérard, P.; Tzvetkov, N. 45 2004 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 8 2004 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086 Burq, N.; Gérard, P.; Tzvetkov, N. 5 2004 Control theory and high energy eigenfunctions. Zbl 1064.35120 Burq, Nicolas; Zworski, Maciej 3 2004 Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. Zbl 1030.35024 Burq, Nicolas; Planchon, Fabrice; Stalker, John G.; Tahvildar-Zadeh, A. Shadi 135 2003 Global Strichartz estimates for nontrapping geometries: About an article by H. Smith and C. Sogge. Zbl 1026.35020 Burq, N. 44 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084 Burq, N.; Gérard, P.; Tzvetkov, N. 26 2003 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 Semi-classical estimates for the resolvent in nontrapping geometries. Zbl 1161.81368 Burq, Nicolas 65 2002 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113 Burq, N.; Gérard, P.; Tzvetkov, N. 58 2002 Lower bounds for shape resonances widths of long range Schrödinger operators. Zbl 1013.35019 Burq, Nicolas 48 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 1292.35188 Burq, Nicolas 4 2002 Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009 Burq, Nicolas; Lebeau, Gilles 31 2001 Resonance expansions in semi-classical propagation. Zbl 1042.81582 Burq, Nicolas; Zworski, Maciej 21 2001 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019 Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 6 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 0918.35081 Burq, Nicolas 134 1998 Exact controlability for the wave equation in corner domains. (Contrôle de l’équation des ondes dans des ouverts comportant des coins.) Zbl 0937.35097 Burq, Nicolas; Schlenker, Jean-Marc 7 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 0906.93008 Burq, Nicolas; Gérard, Patrick 105 1997 Exact controlability of waves in somewhat regular domains. (Contrôlabilité exacte des ondes dans des ouverts peu réguliers.) Zbl 0892.93009 Burq, N. 43 1997 Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) Zbl 0954.35102 Burq, Nicolas 29 1997 Poles of diffraction at a corner. (Pôles de diffusion engendrés par un coin.) Zbl 0896.35099 Burq, 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 0930.93007 Burq, Nicolas 14 1993 Micro-local approach to the control for the plates equation. Zbl 0785.49002 Burq, Nicolas; Lebeau, Gilles 4 1992 Contrôle de l’équation de Schrödinger en présence d’obstacles strictement convexes. Zbl 0768.93040 Burq, N. 6 1991 all cited Publications top 5 cited Publications all top 5 Cited by 1,245 Authors 50 Tzvetkov, Nikolay 49 Burq, Nicolas 31 Oh, Tadahiro 23 Alazard, Thomas 22 Zuazua, Enrique 21 Cavalcanti, Marcelo Moreira 18 Galkowski, Jeffrey 17 Sogge, Christopher D. 17 Visciglia, Nicola 17 Zhang, Junyong 16 Christianson, Hans 16 Spence, Euan A. 16 Zheng, Jiqiang 15 Domingos Cavalcanti, Valéria Neves 15 Tataru, Daniel 15 Wunsch, Jared 14 Léautaud, Matthieu 14 Metcalfe, Jason L. 14 Zworski, Maciej 13 Carles, Rémi 13 D’Ancona, Piero 13 Datchev, Kiril R. 13 Gerard, Patrick 13 Laurent, Camille 12 Ammari, Kais 12 Cacciafesta, Federico 12 Mizutani, Haruya 12 Royer, Julien 12 Sun, Chenmin 12 Tacy, Melissa 12 Thomann, Laurent 11 Bony, Jean-François 11 Fanelli, Luca 11 Ionescu, Alexandru D. 11 Privat, Yannick 10 Bourgain, Jean 10 de Suzzoni, Anne-Sophie 10 Hassell, Andrew 10 Ifrim, Mihaela 10 Pocovnicu, Oana 10 Sohinger, Vedran 10 Staffilani, Gigliola 10 Trélat, Emmanuel 10 Wang, Yuzhao 9 Berti, Massimiliano 9 Blair, Matthew D. 9 Bouclet, Jean-Marc 9 Dinh, Van Duong 9 Ervedoza, Sylvain 9 Lafontaine, David 9 Macià, Fabricio 9 Marzuola, Jeremy Louis 9 Rivière, Gabriel 9 Robbiano, Luc 9 Vodev, Georgi 8 Alabau-Boussouira, Fatiha 8 Aloui, Lassaad 8 Brzeźniak, Zdzisław 8 Deng, Yu 8 Duyckaerts, Thomas 8 Fu, Xiaoyu 8 Georgiev, Vladimir S. 8 Gonzalez Martinez, Victor Hugo 8 Hassine, Fathi 8 Kenig, Carlos Eduardo 8 Linares, Felipe 8 Miao, Changxing 8 Pierfelice, Vittoria 8 Planchon, Fabrice 8 Ponce, Gustavo 8 Toth, John Andrew 8 Zelditch, Steve 8 Zuily, Claude 7 Corrêa, Wellington José 7 Dyatlov, Semyon 7 Feireisl, Eduard 7 Germain, Pierre 7 Guo, Zihua 7 Ibrahim, Slim 7 Khenissi, Moez 7 Kukavica, Igor 7 Nahmod, Andrea R. 7 Ning, Zhenhu 7 Pausader, Benoît 7 Pusateri, Fabio 7 Rousset, Frédéric 7 Schippa, Robert 7 Tcheugoué Tébou, Louis Roder 7 Wang, Chengbo 7 Yang, Kai 7 Zhang, Junyan 7 Zhang, Zhifei 6 Banica, Valeria 6 Han, Xiaolong 6 Hani, Zaher 6 Herr, Sebastian 6 Krieger, Joachim 6 Lu, Jing 6 Lü, Qi 6 Masmoudi, Nader ...and 1,145 more Authors all top 5 Cited in 220 Serials 87 Journal of Differential Equations 76 Communications in Partial Differential Equations 73 Communications in Mathematical Physics 69 Journal of Functional Analysis 42 Journal of Mathematical Analysis and Applications 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 35 Proceedings of the American Mathematical Society 35 SIAM Journal on Mathematical Analysis 33 Archive for Rational Mechanics and Analysis 30 Discrete and Continuous Dynamical Systems 28 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Transactions of the American Mathematical Society 25 Journal of Mathematical Physics 25 Analysis & PDE 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Advances in Mathematics 21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 20 Annales de l’Institut Fourier 20 Mathematische Annalen 20 Annales Henri Poincaré 20 Communications on Pure and Applied Analysis 19 Nonlinearity 19 Journal of the European Mathematical Society (JEMS) 18 Inventiones Mathematicae 18 SIAM Journal on Control and Optimization 17 The Journal of Geometric Analysis 16 Duke Mathematical Journal 16 Pure and Applied Analysis 15 Séminaire Laurent Schwartz. EDP et Applications 14 Communications on Pure and Applied Mathematics 12 Applied Mathematics and Optimization 12 Bulletin de la Société Mathématique de France 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Journal of Spectral Theory 11 Stochastic and Partial Differential Equations. Analysis and Computations 10 Applicable Analysis 10 Mathematische Zeitschrift 10 Journal of Evolution Equations 10 Journal of Hyperbolic Differential Equations 9 Revista Matemática Iberoamericana 9 Annals of PDE 8 Memoirs of the American Mathematical Society 8 Journal of the American Mathematical Society 8 Geometric and Functional Analysis. GAFA 8 Journal of Dynamics and Differential Equations 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Mathematical Methods in the Applied Sciences 7 Numerische Mathematik 7 Asymptotic Analysis 7 Forum Mathematicum 7 Communications in Contemporary Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 7 Science China. Mathematics 7 Water Waves 6 The Journal of Fourier Analysis and Applications 6 Journal de l’École Polytechnique – Mathématiques 5 American Journal of Mathematics 5 Indiana University Mathematics Journal 5 Mathematische Nachrichten 5 Systems & Control Letters 5 MCSS. Mathematics of Control, Signals, and Systems 5 Potential Analysis 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 5 Annales Henri Lebesgue 4 Inverse Problems 4 Journal d’Analyse Mathématique 4 Journal of the Mathematical Society of Japan 4 Osaka Journal of Mathematics 4 Chinese Annals of Mathematics. Series B 4 Probability Theory and Related Fields 4 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Fluid Mechanics 4 Acta Mathematica Sinica. English Series 4 Kyoto Journal of Mathematics 4 Evolution Equations and Control Theory 3 Computers & Mathematics with Applications 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Reviews in Mathematical Physics 3 Integral Equations and Operator Theory 3 Applied Mathematics Letters 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Bulletin of the American Mathematical Society. New Series 3 Electronic Journal of Differential Equations (EJDE) 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Portugaliae Mathematica. Nova Série 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Boundary Value Problems 3 Journal of Pseudo-Differential Operators and Applications 3 Forum of Mathematics, Pi 3 Mathematics in Engineering 2 Analysis Mathematica 2 Computer Methods in Applied Mechanics and Engineering 2 Russian Mathematical Surveys ...and 120 more Serials all top 5 Cited in 49 Fields 1,374 Partial differential equations (35-XX) 200 Global analysis, analysis on manifolds (58-XX) 195 Fluid mechanics (76-XX) 194 Systems theory; control (93-XX) 153 Quantum theory (81-XX) 137 Operator theory (47-XX) 115 Dynamical systems and ergodic theory (37-XX) 102 Harmonic analysis on Euclidean spaces (42-XX) 84 Probability theory and stochastic processes (60-XX) 54 Numerical analysis (65-XX) 45 Mechanics of deformable solids (74-XX) 39 Functional analysis (46-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 33 Differential geometry (53-XX) 28 Statistical mechanics, structure of matter (82-XX) 26 Relativity and gravitational theory (83-XX) 24 Ordinary differential equations (34-XX) 22 Number theory (11-XX) 21 Optics, electromagnetic theory (78-XX) 17 Special functions (33-XX) 14 Measure and integration (28-XX) 13 Topological groups, Lie groups (22-XX) 13 Real functions (26-XX) 12 Abstract harmonic analysis (43-XX) 12 Mechanics of particles and systems (70-XX) 10 Integral transforms, operational calculus (44-XX) 8 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 7 Geophysics (86-XX) 6 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Statistics (62-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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