Edit Profile (opens in new tab) Gerard, Patrick Compute Distance To: Compute Author ID: gerard.patrick Published as: Gérard, Patrick; Gérard, P.; Gerard, Patrick; Gerard, P. more...less Homepage: http://www.math.u-psud.fr/~pgerard/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Member of Collective: Bourbaki, Nicolas Documents Indexed: 112 Publications since 1986, including 3 Books Co-Authors: 37 Co-Authors with 79 Joint Publications 1,148 Co-Co-Authors all top 5 Co-Authors 27 single-authored 16 Burq, Nicolas 16 Tzvetkov, Nikolay 13 Grellier, Sandrine 8 Fermanian-Kammerer, Clotilde 6 Bahouri, Hajer 4 Kappeler, Thomas 4 Lebeau, Gilles 4 Pushnitski, Alexander B. 3 Leichtnam, Eric 3 Topalov, Peter J. 2 Alinhac, Serge 2 Briane, Marc 2 Burg, Nocolas 2 Gallagher, Isabelle 2 Golse, François 2 Lenzmann, Enno 2 Rauch, Jeffrey B. 2 Sanchez-Palencia, Évariste 2 Xu, Chao-Jiang 1 Brezzi, Franco 1 Dehman, Belhassen 1 Francfort, Gilles A. 1 Germain, Pierre 1 Guo, Yanqiu 1 Klein, Christian 1 Koch, Herbert 1 Lasser, Caroline 1 Markowich, Peter Alexander 1 Mauser, Norbert Julius 1 Méhats, Florian 1 Meyer, Yves F. 1 Oru, Frédérique 1 Pallard, Christophe 1 Pierfelice, Vittoria 1 Pocovnicu, Oana 1 Poupaud, Frédéric 1 Raphael, Pierre 1 Thomann, Laurent 1 Titi, Edriss Saleh 1 Wennberg, Bernt 1 Wilson, Christopher M. 1 Zhang, Zhifei all top 5 Serials 12 Séminaire Équations aux Dérivées Partielles 5 Séminaire Laurent Schwartz. EDP et Applications 3 Communications on Pure and Applied Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Archive for Rational Mechanics and Analysis 2 American Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Mathematical Research Letters 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Gazette des Mathématiciens 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Communications in Statistics. Theory and Methods 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Astérisque 1 Graduate Studies in Mathematics 1 Kinetic and Related Models 1 Analysis & PDE 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Annals of PDE 1 Tunisian Journal of Mathematics 1 Pure and Applied Analysis 1 Savoirs Actuels all top 5 Fields 94 Partial differential equations (35-XX) 34 Dynamical systems and ergodic theory (37-XX) 22 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Quantum theory (81-XX) 7 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 Special functions (33-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 2,041 times in 1,394 Documents Cited by ▼ Year ▼ Homogenization limits and Wigner transforms. Zbl 0881.35099Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric 196 1997 High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089Bahouri, Hajer; Gérard, Patrick 186 1999 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 185 1991 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 164 2004 Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103Gérard, Patrick; Leichtnam, Eric 90 1993 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 81 1997 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 64 2007 Pseudo-differential operators and the Nash-Moser theorem. (Opérateurs pseudo-différentiels et théorème de Nash-Moser.) Zbl 0791.47044Alinhac, Serge; Gérard, Patrick 63 1991 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 62 2005 Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033Alinhac, Serge; Gérard, Patrick 56 2007 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 52 2002 Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027Gérard, P. 52 1998 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 49 2006 The cubic Szegő equation. (L’équation de Szegő cubique.) Zbl 1228.35225Gérard, Patrick; Grellier, Sandrine 44 2010 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 44 2005 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 39 2012 Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang 38 2000 The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133Gérard, P. 38 2006 Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075Gérard, Patrick 37 1996 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 36 2004 Semi-classical measures and eigenvalue crossings. (Mesures semi-classiques et croisement de modes.) Zbl 0996.35004Fermanian-Kammerer, Clotilde; Gérard, Patrick 32 2002 Sharp Sobolev inequalities. (Inégalités de Sobolev précisées.) Zbl 1066.46501Gerard, Patrick; Meyer, Yves; Oru, Frédérique 32 1997 Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096Gérard, P. 25 1991 A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029Fermanian Kammerer, Clotilde; Gérard, Patrick 23 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 22 2003 Invariant tori for the cubic Szegö equation. Zbl 1252.35026Gérard, Patrick; Grellier, Sandrine 22 2012 The cubic Szegő equation and Hankel operators. Zbl 1410.37001Gérard, Patrick; Grellier, Sandrine 17 2017 Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152Gérard, Patrick; Zhang, Zhifei 16 2009 An explicit formula for the cubic Szegő equation. Zbl 1318.37024Gérard, Patrick; Grellier, Sandrine 16 2015 Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020Gérard, Patrick; Golse, François 14 1992 Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003Gérard, Patrick 13 1990 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 13 2007 The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373Gérard, Patrick 13 2008 A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre 12 2018 Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Profile decomposition for the wave equation outside a convex obstacle. Zbl 0980.35088Gallagher, Isabelle; Gérard, Patrick 12 2001 On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. 12 2015 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 On the cubic lowest Landau level equation. Zbl 1412.82034Gérard, Patrick; Germain, Pierre; Thomann, Laurent 9 2019 Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). (Résultats récents sur les fluides parfaits incompressibles bidimensionnels (d’après J.-Y. Chemin et J.-M. Delort).) Zbl 1154.76321Gérard, Patrick 9 1992 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 9 2020 Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079Gerard, P.; Rauch, J. 7 1987 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 7 2004 Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. (Remarques sur l’analyse semi-classique de l’équation de Schrödinger non linéaire.) Zbl 0874.35111Gérard, Patrick 6 1993 Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096Gérard, Patrick 6 2006 Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251Gérard, Patrick; Pierfelice, Vittoria 6 2010 An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024Gérard, Patrick; Pushnitski, Alexander 6 2015 On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354Gérard, Patrick; Kappeler, Thomas 6 2021 Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline 6 2013 Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047Gerard, Patrick; Sanchez-Palencia, Evariste 5 2000 A Lax pair structure for the half-wave maps equation. Zbl 1393.37074Gérard, Patrick; Lenzmann, Enno 5 2018 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 4 2001 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 4 2004 Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020Gerard, P. 3 1987 Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090Bahouri, Hajer; Gérard, Patrick 3 1997 Semiclassical measures and crossing of modes. (Mesures semi-classiques et croisement de modes.) Zbl 1055.81534Fermanian Kammerer, Clotilde; Gerard, Patrick 3 2000 Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054Gerard, Patrick 3 1988 The Schrödinger-Poisson system on the sphere. Zbl 1231.35229Gérard, Patrick; Méhats, Florian 3 2011 Nonlinear Schrödinger equations on compact manifolds. Zbl 1076.35115Gérard, P. 3 2005 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070Burq, Nicolas; Gérard, Patrick 3 2020 A drift homogenization problem revisited. Zbl 1270.35058Briane, Marc; Gérard, Patrick 3 2012 Inverse spectral problems for compact Hankel operators. Zbl 1304.47038Gérard, Patrick; Grellier, Sandrine 3 2014 On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022Gérard, Patrick; Grellier, Sandrine 2 2016 A compactness result for generalized Radon transforms. Zbl 0864.44001Gérard, Patrick; Golse, François; Wennberg, Bernt 2 1996 The cubic Szegö equation. (L’equation de Szegö cubique.) Zbl 1213.35397Gérard, Patrick; Grellier, Sandrine 2 2010 Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040Gérard, Patrick; Pushnitski, Alexander 2 2020 On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 2 2022 A mean-field toy model for resonant transport. Zbl 1194.35462Gerard, Patrick; Pallard, Christophe 1 2010 Two-scale Wigner measures and the Landau-Zener formulas. Zbl 1322.81059Kammerer, C. Fermanian; Gérard, P. 1 2004 A Landau-Zener formula for a generic crossing in codimension 2. (Une formule de Landau-Zener pour un croisement générique de codimension 2.) Zbl 1292.35252Fermanian Kammerer, Clotilde; Gérard, Patrick 1 2002 An introduction to the cubic Szegö equation. Zbl 1348.35232Gérard, Patrick 1 2013 A microlocal version of concentration-compactness. Zbl 0868.35005Gérard, Patrick 1 1996 Compacité par compensation et régularité 2-microlocale. (Compensated compactness and 2-microlocal regularity). Zbl 0707.35032Gérard, P. 1 1989 Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115Gérard, P. 1 1988 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 Generalized geometric optics for critical nonlinear waves. (Optique géométrique généralisée pour les ondes non linéaires critiques.) Zbl 1068.35522Bahouri, Hajer; Gerard, Patrick 1 1997 Régularité de moyennes de solutions d’équations aux dérivées partielles. (Regularity of means of solutions of partial differential equations). Zbl 0639.35010Gerard, Patrick 1 1987 Solutions globales du problème de Cauchy pour l’équation de Boltzmann [d’après R. J. Di Perna et P. L. Lions]. Zbl 0704.76041Gérard, Patrick 1 1988 Wave turbulence and complete integrability. Zbl 1442.35419Gérard, Patrick 1 2019 A Landau-Zener formula for two-scaled Wigner measures. Zbl 1145.81368Fermanian Kammerer, Clotilde; Gerard, Patrick 1 2004 Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045Gérard, Patrick; Grellier, Sandrine 1 2019 Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937Gérard, Patrick; Pushnitski, Alexander 1 2019 A survey of the Szegő equation. Zbl 1428.35067Gérard, Patrick; Grellier, Sandrine 1 2019 On a damped Szegö equation (with an appendix in collaboration with Christian Klein). Zbl 1448.35022Gérard, Patrick; Grellier, Sandrine 1 2020 On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 2 2022 On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354Gérard, Patrick; Kappeler, Thomas 6 2021 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 9 2020 Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070Burq, Nicolas; Gérard, Patrick 3 2020 Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040Gérard, Patrick; Pushnitski, Alexander 2 2020 On a damped Szegö equation (with an appendix in collaboration with Christian Klein). Zbl 1448.35022Gérard, Patrick; Grellier, Sandrine 1 2020 On the cubic lowest Landau level equation. Zbl 1412.82034Gérard, Patrick; Germain, Pierre; Thomann, Laurent 9 2019 Wave turbulence and complete integrability. Zbl 1442.35419Gérard, Patrick 1 2019 Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045Gérard, Patrick; Grellier, Sandrine 1 2019 Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937Gérard, Patrick; Pushnitski, Alexander 1 2019 A survey of the Szegő equation. Zbl 1428.35067Gérard, Patrick; Grellier, Sandrine 1 2019 A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre 12 2018 A Lax pair structure for the half-wave maps equation. Zbl 1393.37074Gérard, Patrick; Lenzmann, Enno 5 2018 The cubic Szegő equation and Hankel operators. Zbl 1410.37001Gérard, Patrick; Grellier, Sandrine 17 2017 On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022Gérard, Patrick; Grellier, Sandrine 2 2016 An explicit formula for the cubic Szegő equation. Zbl 1318.37024Gérard, Patrick; Grellier, Sandrine 16 2015 On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. 12 2015 An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024Gérard, Patrick; Pushnitski, Alexander 6 2015 Inverse spectral problems for compact Hankel operators. Zbl 1304.47038Gérard, Patrick; Grellier, Sandrine 3 2014 Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline 6 2013 An introduction to the cubic Szegö equation. Zbl 1348.35232Gérard, Patrick 1 2013 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 39 2012 Invariant tori for the cubic Szegö equation. Zbl 1252.35026Gérard, Patrick; Grellier, Sandrine 22 2012 A drift homogenization problem revisited. Zbl 1270.35058Briane, Marc; Gérard, Patrick 3 2012 The Schrödinger-Poisson system on the sphere. Zbl 1231.35229Gérard, Patrick; Méhats, Florian 3 2011 The cubic Szegő equation. (L’équation de Szegő cubique.) Zbl 1228.35225Gérard, Patrick; Grellier, Sandrine 44 2010 Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251Gérard, Patrick; Pierfelice, Vittoria 6 2010 The cubic Szegö equation. (L’equation de Szegö cubique.) Zbl 1213.35397Gérard, Patrick; Grellier, Sandrine 2 2010 A mean-field toy model for resonant transport. Zbl 1194.35462Gerard, Patrick; Pallard, Christophe 1 2010 Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152Gérard, Patrick; Zhang, Zhifei 16 2009 The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373Gérard, Patrick 13 2008 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 64 2007 Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033Alinhac, Serge; Gérard, Patrick 56 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 13 2007 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 49 2006 The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133Gérard, P. 38 2006 Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096Gérard, Patrick 6 2006 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 62 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 44 2005 Nonlinear Schrödinger equations on compact manifolds. Zbl 1076.35115Gérard, P. 3 2005 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 164 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 36 2004 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 7 2004 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 4 2004 Two-scale Wigner measures and the Landau-Zener formulas. Zbl 1322.81059Kammerer, C. Fermanian; Gérard, P. 1 2004 A Landau-Zener formula for two-scaled Wigner measures. Zbl 1145.81368Fermanian Kammerer, Clotilde; Gerard, Patrick 1 2004 A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029Fermanian Kammerer, Clotilde; Gérard, Patrick 23 2003 Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084Burq, N.; Gérard, P.; Tzvetkov, N. 22 2003 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 52 2002 Semi-classical measures and eigenvalue crossings. (Mesures semi-classiques et croisement de modes.) Zbl 0996.35004Fermanian-Kammerer, Clotilde; Gérard, Patrick 32 2002 A Landau-Zener formula for a generic crossing in codimension 2. (Une formule de Landau-Zener pour un croisement générique de codimension 2.) Zbl 1292.35252Fermanian Kammerer, Clotilde; Gérard, Patrick 1 2002 Profile decomposition for the wave equation outside a convex obstacle. Zbl 0980.35088Gallagher, Isabelle; Gérard, Patrick 12 2001 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 4 2001 Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang 38 2000 Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047Gerard, Patrick; Sanchez-Palencia, Evariste 5 2000 Semiclassical measures and crossing of modes. (Mesures semi-classiques et croisement de modes.) Zbl 1055.81534Fermanian Kammerer, Clotilde; Gerard, Patrick 3 2000 High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089Bahouri, Hajer; Gérard, Patrick 186 1999 Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027Gérard, P. 52 1998 Homogenization limits and Wigner transforms. Zbl 0881.35099Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric 196 1997 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 81 1997 Sharp Sobolev inequalities. (Inégalités de Sobolev précisées.) Zbl 1066.46501Gerard, Patrick; Meyer, Yves; Oru, Frédérique 32 1997 Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090Bahouri, Hajer; Gérard, Patrick 3 1997 Generalized geometric optics for critical nonlinear waves. (Optique géométrique généralisée pour les ondes non linéaires critiques.) Zbl 1068.35522Bahouri, Hajer; Gerard, Patrick 1 1997 Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075Gérard, Patrick 37 1996 A compactness result for generalized Radon transforms. Zbl 0864.44001Gérard, Patrick; Golse, François; Wennberg, Bernt 2 1996 A microlocal version of concentration-compactness. Zbl 0868.35005Gérard, Patrick 1 1996 Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103Gérard, Patrick; Leichtnam, Eric 90 1993 Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. (Remarques sur l’analyse semi-classique de l’équation de Schrödinger non linéaire.) Zbl 0874.35111Gérard, Patrick 6 1993 Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020Gérard, Patrick; Golse, François 14 1992 Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). (Résultats récents sur les fluides parfaits incompressibles bidimensionnels (d’après J.-Y. Chemin et J.-M. Delort).) Zbl 1154.76321Gérard, Patrick 9 1992 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 185 1991 Pseudo-differential operators and the Nash-Moser theorem. (Opérateurs pseudo-différentiels et théorème de Nash-Moser.) Zbl 0791.47044Alinhac, Serge; Gérard, Patrick 63 1991 Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096Gérard, P. 25 1991 Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003Gérard, Patrick 13 1990 Compacité par compensation et régularité 2-microlocale. (Compensated compactness and 2-microlocal regularity). Zbl 0707.35032Gérard, P. 1 1989 Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054Gerard, Patrick 3 1988 Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115Gérard, P. 1 1988 Solutions globales du problème de Cauchy pour l’équation de Boltzmann [d’après R. J. Di Perna et P. L. Lions]. Zbl 0704.76041Gérard, Patrick 1 1988 Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079Gerard, P.; Rauch, J. 7 1987 Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020Gerard, P. 3 1987 Régularité de moyennes de solutions d’équations aux dérivées partielles. (Regularity of means of solutions of partial differential equations). Zbl 0639.35010Gerard, Patrick 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,246 Authors 33 Tzvetkov, Nikolay 29 Burq, Nicolas 28 Gerard, Patrick 24 Fermanian-Kammerer, Clotilde 23 Carles, Rémi 21 Cavalcanti, Marcelo Moreira 21 Kenig, Carlos Eduardo 20 Duyckaerts, Thomas 17 Bal, Guillaume 16 Bahouri, Hajer 16 Domingos Cavalcanti, Valéria Neves 16 Jin, Shi 15 Markowich, Peter Alexander 15 Merle, Frank 15 Paul, Thierry 15 Ryzhik, Lenya 14 Gallagher, Isabelle 13 Nakanishi, Kenji 13 Oh, Tadahiro 13 Panov, Evgeniy Yu. 12 Antonić, Nenad 12 Visciglia, Nicola 11 Mauser, Norbert Julius 11 Zuazua, Enrique 10 Galkowski, Jeffrey 10 Lebeau, Gilles 10 Masmoudi, Nader 10 Perthame, Benoît 10 Thomann, Laurent 9 Ibrahim, Slim 9 Laurent, Camille 9 Lazar, Martin 9 Léautaud, Matthieu 9 Macià, Fabricio 9 Miao, Changxing 9 Mitrovic, Darko 9 Saut, Jean-Claude 9 Schlag, Wilhelm 9 Sogge, Christopher D. 9 Sparber, Christof 9 Tacy, Melissa 9 Tataru, Daniel 9 Toth, John Andrew 9 Trélat, Emmanuel 8 Allaire, Grégoire 8 Aloui, Lassaad 8 Gala, Sadek 8 Grellier, Sandrine 8 Guo, Zihua 8 Hani, Zaher 8 Hassell, Andrew 8 Krieger, Joachim 8 Lawrie, Andrew G. W. 8 Majdoub, Mohamed 8 Pausader, Benoît 8 Pinaud, Olivier 8 Planchon, Fabrice 8 Raphael, Pierre 8 Xu, Guixiang 7 Alabau-Boussouira, Fatiha 7 Banica, Valeria 7 Blair, Matthew D. 7 Christianson, Hans 7 Ervedoza, Sylvain 7 Evnin, Oleg 7 Germain, Pierre 7 Gravejat, Philippe 7 Guardia, Marcel 7 Israwi, Samer 7 Kwon, Soonsik 7 Lasser, Caroline 7 Rosier, Lionel 7 Visan, Monica 6 Alazard, Thomas 6 Athanassoulis, Agisillaos 6 Bao, Weizhu 6 Bardos, Claude Williams 6 Chemin, Jean-Yves 6 Corrêa, Wellington José 6 de Laire, André 6 Golse, François 6 Herr, Sebastian 6 Keraani, Sahbi 6 Killip, Rowan 6 Lenzmann, Enno 6 Marzuola, Jeremy L. 6 Méhats, Florian 6 Pilipović, Stevan 6 Pocovnicu, Oana 6 Privat, Yannick 6 Soler, Juan S. 6 Sun, Chenmin 6 Yang, Xu 6 Zelditch, Steve 5 Aleksic, Jelena 5 Brzeźniak, Zdzisław 5 Côte, Raphaël 5 Dehman, Belhassen 5 Erceg, Marko 5 Fischer, Véronique ...and 1,146 more Authors all top 5 Cited in 242 Serials 70 Journal of Differential Equations 67 Communications in Partial Differential Equations 64 Communications in Mathematical Physics 55 Journal of Functional Analysis 43 Archive for Rational Mechanics and Analysis 41 Journal de Mathématiques Pures et Appliquées. Neuvième Série 39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 30 Journal of Mathematical Physics 30 Transactions of the American Mathematical Society 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of Mathematical Analysis and Applications 20 Duke Mathematical Journal 20 Discrete and Continuous Dynamical Systems 18 Mathematische Annalen 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of the European Mathematical Society (JEMS) 17 Journal of Computational Physics 17 Communications on Pure and Applied Analysis 16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 16 Journal of Hyperbolic Differential Equations 15 Proceedings of the American Mathematical Society 15 SIAM Journal on Mathematical Analysis 14 Séminaire Laurent Schwartz. EDP et Applications 13 Nonlinearity 13 Annales de l’Institut Fourier 13 Inventiones Mathematicae 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Communications on Pure and Applied Mathematics 12 Advances in Mathematics 12 Communications in Contemporary Mathematics 11 Revista Matemática Iberoamericana 11 Analysis & PDE 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Physica D 10 Journal of the American Mathematical Society 10 The Journal of Geometric Analysis 9 Annales Henri Poincaré 9 Science China. Mathematics 8 Wave Motion 8 Geometric and Functional Analysis. GAFA 8 NoDEA. Nonlinear Differential Equations and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of Pseudo-Differential Operators and Applications 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Bulletin de la Société Mathématique de France 7 Mathematische Zeitschrift 7 SIAM Journal on Control and Optimization 7 Journal of Mathematical Sciences (New York) 7 The Journal of Fourier Analysis and Applications 7 Journal of Spectral Theory 7 Annals of PDE 7 Journal de l’École Polytechnique – Mathématiques 6 Applicable Analysis 6 Journal d’Analyse Mathématique 6 Journal of Statistical Physics 6 Transport Theory and Statistical Physics 6 Forum Mathematicum 6 Journal of Dynamics and Differential Equations 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Numerische Mathematik 5 Quarterly of Applied Mathematics 5 Asymptotic Analysis 5 Journal of Scientific Computing 5 Bulletin of the American Mathematical Society. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Calculus of Variations and Partial Differential Equations 5 Acta Mathematica Sinica. English Series 5 Journal of Evolution Equations 5 Discrete and Continuous Dynamical Systems. Series S 5 Evolution Equations and Control Theory 5 Annales Henri Lebesgue 4 Mathematical Methods in the Applied Sciences 4 Chinese Annals of Mathematics. Series B 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 SIAM Journal on Applied Mathematics 4 Nonlinear Analysis. Real World Applications 4 Foundations of Computational Mathematics 4 Multiscale Modeling & Simulation 4 Journal of the Institute of Mathematics of Jussieu 4 Mathematical Control and Related Fields 3 Israel Journal of Mathematics 3 American Journal of Mathematics 3 Applied Mathematics and Optimization 3 Journal of Computational and Applied Mathematics 3 Journal of the Mathematical Society of Japan 3 Journal of Optimization Theory and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 MCSS. Mathematics of Control, Signals, and Systems 3 International Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Potential Analysis 3 Applied and Computational Harmonic Analysis 3 St. Petersburg Mathematical Journal 3 Annales Mathématiques Blaise Pascal 3 Revista Matemática Complutense 3 Discrete Dynamics in Nature and Society 3 Annals of Mathematics. Second Series ...and 142 more Serials all top 5 Cited in 50 Fields 1,139 Partial differential equations (35-XX) 198 Quantum theory (81-XX) 170 Global analysis, analysis on manifolds (58-XX) 127 Dynamical systems and ergodic theory (37-XX) 126 Fluid mechanics (76-XX) 104 Systems theory; control (93-XX) 100 Statistical mechanics, structure of matter (82-XX) 85 Operator theory (47-XX) 74 Functional analysis (46-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 70 Numerical analysis (65-XX) 62 Mechanics of deformable solids (74-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 39 Probability theory and stochastic processes (60-XX) 39 Optics, electromagnetic theory (78-XX) 35 Differential geometry (53-XX) 26 Ordinary differential equations (34-XX) 22 Topological groups, Lie groups (22-XX) 18 Abstract harmonic analysis (43-XX) 14 Number theory (11-XX) 10 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 8 Integral equations (45-XX) 8 Mechanics of particles and systems (70-XX) 8 Relativity and gravitational theory (83-XX) 7 Measure and integration (28-XX) 6 Approximations and expansions (41-XX) 6 Integral transforms, operational calculus (44-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Potential theory (31-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Information and communication theory, circuits (94-XX) 3 Group theory and generalizations (20-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.