Edit Profile Gerard, Patrick Compute Distance To: Compute Author ID: gerard.patrick Published as: Gerard, P.; Gerard, Patrick; Gérard, P.; Gérard, Patrick Homepage: http://www.math.u-psud.fr/~pgerard/ External Links: MGP · Wikidata · dblp · GND Member of Collective: Bourbaki, Nicolas Documents Indexed: 104 Publications since 1986, including 3 Books all top 5 Co-Authors 25 single-authored 16 Tzvetkov, Nikolay 15 Burq, Nicolas 13 Grellier, Sandrine 8 Fermanian-Kammerer, Clotilde 5 Bahouri, Hajer 4 Lebeau, Gilles 4 Pushnitski, Alexander B. 3 Leichtnam, Eric 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 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 Zhang, Zhifei all top 5 Serials 12 Séminaire Équations aux Dérivées Partielles 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 Communications on Pure and Applied Mathematics 2 American Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Inventiones Mathematicae 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 2 Séminaire Laurent Schwartz. EDP et Applications 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 Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Mathematika 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 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 Annals of PDE 1 Tunisian Journal of Mathematics 1 Savoirs Actuels all top 5 Fields 86 Partial differential equations (35-XX) 28 Dynamical systems and ergodic theory (37-XX) 20 Operator theory (47-XX) 15 Quantum theory (81-XX) 14 Global analysis, analysis on manifolds (58-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) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-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 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 80 Publications have been cited 1,809 times in 1,239 Documents Cited by ▼ Year ▼ Homogenization limits and Wigner transforms. Zbl 0881.35099Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric 178 1997 High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089Bahouri, Hajer; Gérard, Patrick 174 1999 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 169 1991 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 146 2004 Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103Gérard, Patrick; Leichtnam, Eric 78 1993 A necessary and sufficient condition for the exact controllability of the wave equation. Zbl 0906.93008Burq, Nicolas; Gérard, Patrick 69 1997 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 58 2007 Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099Burq, N.; Gérard, P.; Tzvetkov, N. 57 2005 Pseudo-differential operators and the Nash-Moser theorem. Zbl 0791.47044Alinhac, Serge; Gérard, Patrick 53 1991 Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027Gérard, P. 49 1998 An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113Burq, N.; Gérard, P.; Tzvetkov, N. 45 2002 Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033Alinhac, Serge; Gérard, Patrick 43 2007 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 40 2006 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 39 2005 The cubic Szegő equation. Zbl 1228.35225Gérard, Patrick; Grellier, Sandrine 36 2010 The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133Gérard, P. 35 2006 Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075Gérard, Patrick 35 1996 Besov spaces and Strichartz estimates on the Heisenberg group. Zbl 0965.22010Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang 32 2000 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 30 2004 Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013Gérard, Patrick; Grellier, Sandrine 29 2012 Semi-classical measures and eigenvalue crossings. Zbl 0996.35004Fermanian-Kammerer, Clotilde; Gérard, Patrick 29 2002 Sharp Sobolev inequalities. Zbl 1066.46501Gerard, Patrick; Meyer, Yves; Oru, Frédérique 29 1997 Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096Gérard, P. 26 1991 A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029Fermanian Kammerer, Clotilde; Gérard, Patrick 22 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 21 2012 An explicit formula for the cubic Szegő equation. Zbl 1318.37024Gérard, Patrick; Grellier, Sandrine 15 2015 Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152Gérard, Patrick; Zhang, Zhifei 15 2009 Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020Gérard, Patrick; Golse, François 13 1992 The cubic Szegő equation and Hankel operators. Zbl 1410.37001Gérard, Patrick; Grellier, Sandrine 12 2017 The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373Gérard, Patrick 12 2008 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 12 2007 Diffraction of a wave at a corner. Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Profile decomposition for the wave equation outside a convex obstacle. Zbl 0980.35088Gallagher, Isabelle; Gérard, Patrick 11 2001 Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003Gérard, Patrick 11 1990 The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 10 2003 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 8 2018 On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. 8 2015 Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. Zbl 0874.35111Gérard, Patrick 8 1993 Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). Zbl 1154.76321Gérard, Patrick 8 1992 Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251Gérard, Patrick; Pierfelice, Vittoria 7 2010 On the cubic lowest Landau level equation. Zbl 1412.82034Gérard, Patrick; Germain, Pierre; Thomann, Laurent 6 2019 Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline 6 2013 Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096Gérard, Patrick 6 2006 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 6 2004 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. 6 1987 An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024Gérard, Patrick; Pushnitski, Alexander 5 2015 Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047Gerard, Patrick; Sanchez-Palencia, Evariste 5 2000 The cubic Szegö equation. Zbl 1213.35397Gérard, Patrick; Grellier, Sandrine 4 2010 The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086Burq, N.; Gérard, P.; Tzvetkov, N. 4 2004 The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 4 2001 Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020Gerard, P. 4 1987 A Lax pair structure for the half-wave maps equation. Zbl 1393.37074Gérard, Patrick; Lenzmann, Enno 3 2018 Inverse spectral problems for compact Hankel operators. Zbl 1304.47038Gérard, Patrick; Grellier, Sandrine 3 2014 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 Semiclassical measures and crossing of modes. Zbl 1055.81534Fermanian Kammerer, Clotilde; Gerard, Patrick 3 2000 Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090Bahouri, Hajer; Gérard, Patrick 3 1997 Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054Gerard, Patrick 3 1988 Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040Gérard, Patrick; Pushnitski, Alexander 2 2020 On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022Gérard, Patrick; Grellier, Sandrine 2 2016 A drift homogenization problem revisited. Zbl 1270.35058Briane, Marc; Gérard, Patrick 2 2012 A compactness result for generalized Radon transforms. Zbl 0864.44001Gérard, Patrick; Golse, François; Wennberg, Bernt 2 1996 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 2 1988 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 1 2020 Wave turbulence and complete integrability. Zbl 1442.35419Gérard, Patrick 1 2019 A survey of the Szegő equation. Zbl 1428.35067Gérard, Patrick; Grellier, Sandrine 1 2019 Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937Gérard, Patrick; Pushnitski, Alexander 1 2019 Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045Gérard, Patrick; Grellier, Sandrine 1 2019 An introduction to the cubic Szegö equation. Zbl 1348.35232Gérard, Patrick 1 2013 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 two-scaled Wigner measures. Zbl 1145.81368Fermanian Kammerer, Clotilde; Gerard, Patrick 1 2004 An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225Burg, N.; Gérard, P.; Tzvetkov, N. 1 2003 A Landau-Zener formula for a generic crossing in codimension 2. Zbl 1292.35252Fermanian Kammerer, Clotilde; Gérard, Patrick 1 2002 Generalized geometric optics for critical nonlinear waves. Zbl 1068.35522Bahouri, Hajer; Gerard, Patrick 1 1997 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 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 Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040Gérard, Patrick; Pushnitski, Alexander 2 2020 On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070Gérard, Patrick; Kappeler, Thomas; Topalov, Petar 1 2020 On the cubic lowest Landau level equation. Zbl 1412.82034Gérard, Patrick; Germain, Pierre; Thomann, Laurent 6 2019 Wave turbulence and complete integrability. Zbl 1442.35419Gérard, Patrick 1 2019 A survey of the Szegő equation. Zbl 1428.35067Gérard, Patrick; Grellier, Sandrine 1 2019 Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937Gérard, Patrick; Pushnitski, Alexander 1 2019 Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045Gérard, 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 8 2018 A Lax pair structure for the half-wave maps equation. Zbl 1393.37074Gérard, Patrick; Lenzmann, Enno 3 2018 The cubic Szegő equation and Hankel operators. Zbl 1410.37001Gérard, Patrick; Grellier, Sandrine 12 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 15 2015 On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S. 8 2015 An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024Gérard, Patrick; Pushnitski, Alexander 5 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 29 2012 Invariant tori for the cubic Szegö equation. Zbl 1252.35026Gérard, Patrick; Grellier, Sandrine 21 2012 A drift homogenization problem revisited. Zbl 1270.35058Briane, Marc; Gérard, Patrick 2 2012 The Schrödinger-Poisson system on the sphere. Zbl 1231.35229Gérard, Patrick; Méhats, Florian 3 2011 The cubic Szegő equation. Zbl 1228.35225Gérard, Patrick; Grellier, Sandrine 36 2010 Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251Gérard, Patrick; Pierfelice, Vittoria 7 2010 The cubic Szegö equation. Zbl 1213.35397Gérard, Patrick; Grellier, Sandrine 4 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 15 2009 The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373Gérard, Patrick 12 2008 Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053Burq, N.; Gérard, P.; Tzvetkov, N. 58 2007 Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033Alinhac, Serge; Gérard, Patrick 43 2007 Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475Burq, N.; Gérard, P.; Tzvetkov, N. 12 2007 Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015Dehman, B.; Gérard, P.; Lebeau, G. 40 2006 The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133Gérard, P. 35 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. 57 2005 Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 39 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. 146 2004 On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126Burq, N.; Gérard, P.; Tzvetkov, N. 30 2004 Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay 6 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 22 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. 45 2002 Semi-classical measures and eigenvalue crossings. Zbl 0996.35004Fermanian-Kammerer, Clotilde; Gérard, Patrick 29 2002 A Landau-Zener formula for a generic crossing in 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 11 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. Zbl 0965.22010Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang 32 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. 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 174 1999 Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027Gérard, P. 49 1998 Homogenization limits and Wigner transforms. Zbl 0881.35099Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric 178 1997 A necessary and sufficient condition for the exact controllability of the wave equation. Zbl 0906.93008Burq, Nicolas; Gérard, Patrick 69 1997 Sharp Sobolev inequalities. Zbl 1066.46501Gerard, Patrick; Meyer, Yves; Oru, Frédérique 29 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. Zbl 1068.35522Bahouri, Hajer; Gerard, Patrick 1 1997 Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075Gérard, Patrick 35 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 78 1993 Diffraction of a wave at a corner. Zbl 0779.35063Gérard, Patrick; Lebeau, Gilles 12 1993 Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. Zbl 0874.35111Gérard, Patrick 8 1993 Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020Gérard, Patrick; Golse, François 13 1992 Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). Zbl 1154.76321Gérard, Patrick 8 1992 Microlocal defect measures. Zbl 0770.35001Gérard, Patrick 169 1991 Pseudo-differential operators and the Nash-Moser theorem. Zbl 0791.47044Alinhac, Serge; Gérard, Patrick 53 1991 Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096Gérard, P. 26 1991 Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003Gérard, Patrick 11 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 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 2 1988 Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115Gérard, P. 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. 6 1987 Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020Gerard, P. 4 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 1,124 Authors 33 Tzvetkov, Nikolay 29 Burq, Nicolas 28 Gerard, Patrick 23 Carles, Rémi 19 Kenig, Carlos Eduardo 18 Fermanian-Kammerer, Clotilde 17 Bal, Guillaume 16 Bahouri, Hajer 16 Cavalcanti, Marcelo Moreira 15 Duyckaerts, Thomas 15 Gallagher, Isabelle 15 Ryzhik, Lenya 14 Jin, Shi 14 Markowich, Peter Alexander 13 Merle, Frank 13 Panov, Evgeniy Yu. 13 Paul, Thierry 12 Nakanishi, Kenji 12 Oh, Tadahiro 11 Antonić, Nenad 11 Domingos Cavalcanti, Valéria Neves 11 Mauser, Norbert Julius 11 Visciglia, Nicola 11 Zuazua, Enrique 10 Galkowski, Jeffrey 10 Lebeau, Gilles 10 Masmoudi, Nader 10 Perthame, Benoît 9 Laurent, Camille 9 Lazar, Martin 9 Léautaud, Matthieu 9 Macià, Fabricio 9 Miao, Changxing 9 Mitrovic, Darko 9 Planchon, Fabrice 9 Schlag, Wilhelm 9 Sogge, Christopher D. 9 Sparber, Christof 9 Tataru, Daniel 9 Toth, John Andrew 8 Allaire, Grégoire 8 Grellier, Sandrine 8 Hani, Zaher 8 Hassell, Andrew 8 Ibrahim, Slim 8 Lawrie, Andrew G. W. 8 Majdoub, Mohamed 8 Pausader, Benoît 8 Pinaud, Olivier 8 Tacy, Melissa 8 Trélat, Emmanuel 8 Xu, Guixiang 7 Alabau-Boussouira, Fatiha 7 Athanassoulis, Agisillaos 7 Banica, Valeria 7 Blair, Matthew D. 7 Christianson, Hans 7 Ervedoza, Sylvain 7 Evnin, Oleg 7 Gravejat, Philippe 7 Guo, Zihua 7 Krieger, Joachim 7 Kwon, Soonsik 7 Raphael, Pierre 7 Rosier, Lionel 7 Saut, Jean-Claude 7 Thomann, Laurent 7 Visan, Monica 6 Alazard, Thomas 6 Aloui, Lassaad 6 Bao, Weizhu 6 Bardos, Claude Williams 6 Chemin, Jean-Yves 6 Keraani, Sahbi 6 Killip, Rowan 6 Marzuola, Jeremy L. 6 Méhats, Florian 6 Pocovnicu, Oana 6 Salort, Delphine 6 Soler, Juan S. 6 Zelditch, Steve 5 Corrêa, Wellington José 5 Côte, Raphaël 5 de Laire, André 5 Dehman, Belhassen 5 Gala, Sadek 5 Germain, Pierre 5 Haus, Emanuele 5 Herr, Sebastian 5 Israwi, Samer 5 Komorowski, Tomasz 5 Lasser, Caroline 5 Lee, Sanghyuk 5 Lenzmann, Enno 5 Liu, Hailiang 5 Mizutani, Haruya 5 Nier, Francis 5 Pierfelice, Vittoria 5 Pilipović, Stevan 5 Poupaud, Frédéric ...and 1,024 more Authors all top 5 Cited in 216 Serials 71 Journal of Differential Equations 65 Communications in Partial Differential Equations 60 Communications in Mathematical Physics 51 Journal of Functional Analysis 41 Archive for Rational Mechanics and Analysis 38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Journal of Mathematical Physics 29 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Transactions of the American Mathematical Society 23 Journal of Mathematical Analysis and Applications 19 Duke Mathematical Journal 18 Discrete and Continuous Dynamical Systems 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Computational Physics 16 Communications on Pure and Applied Analysis 15 Mathematische Annalen 15 Journal of the European Mathematical Society (JEMS) 15 Journal of Hyperbolic Differential Equations 14 Proceedings of the American Mathematical Society 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Annales de l’Institut Fourier 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Communications on Pure and Applied Mathematics 12 Inventiones Mathematicae 12 SIAM Journal on Mathematical Analysis 12 Séminaire Laurent Schwartz. EDP et Applications 11 Nonlinearity 11 Communications in Contemporary Mathematics 11 Analysis & PDE 10 Advances in Mathematics 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Revista Matemática Iberoamericana 10 Journal of the American Mathematical Society 8 Wave Motion 8 The Journal of Geometric Analysis 8 Geometric and Functional Analysis. GAFA 8 Annales Henri Poincaré 8 Science China. Mathematics 7 Bulletin de la Société Mathématique de France 7 Journal of Mathematical Sciences (New York) 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Journal of Pseudo-Differential Operators and Applications 7 Annals of PDE 6 Transport Theory and Statistical Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Mathematische Zeitschrift 6 Physica D 6 Forum Mathematicum 6 NoDEA. Nonlinear Differential Equations and Applications 6 The Journal of Fourier Analysis and Applications 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Applicable Analysis 5 Journal d’Analyse Mathématique 5 Journal of Statistical Physics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 SIAM Journal on Control and Optimization 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 Journal of Spectral Theory 4 Mathematical Methods in the Applied Sciences 4 Numerische Mathematik 4 Quarterly of Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Calculus of Variations and Partial Differential Equations 4 Applied and Computational Harmonic Analysis 4 Acta Mathematica Sinica. English Series 4 Journal of Evolution Equations 4 Journal of the Institute of Mathematics of Jussieu 3 Israel Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Chinese Annals of Mathematics. Series B 3 MCSS. Mathematics of Control, Signals, and Systems 3 International Journal of Mathematics 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Applied Mathematics 3 Potential 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 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Multiscale Modeling & Simulation 3 Mediterranean Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Kyoto Journal of Mathematics 3 Mathematical Control and Related Fields 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Evolution Equations and Control Theory 3 Nonlinear Analysis. Theory, Methods & Applications 3 Journal de l’École Polytechnique – Mathématiques 3 Annales Henri Lebesgue 2 Computers & Mathematics with Applications 2 Reviews in Mathematical Physics ...and 116 more Serials all top 5 Cited in 48 Fields 1,011 Partial differential equations (35-XX) 184 Quantum theory (81-XX) 153 Global analysis, analysis on manifolds (58-XX) 110 Fluid mechanics (76-XX) 105 Dynamical systems and ergodic theory (37-XX) 91 Statistical mechanics, structure of matter (82-XX) 89 Systems theory; control (93-XX) 74 Operator theory (47-XX) 66 Functional analysis (46-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 53 Numerical analysis (65-XX) 51 Mechanics of deformable solids (74-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 37 Optics, electromagnetic theory (78-XX) 33 Differential geometry (53-XX) 32 Probability theory and stochastic processes (60-XX) 22 Ordinary differential equations (34-XX) 20 Topological groups, Lie groups (22-XX) 15 Abstract harmonic analysis (43-XX) 13 Number theory (11-XX) 9 Functions of a complex variable (30-XX) 8 Real functions (26-XX) 8 Special functions (33-XX) 8 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Integral transforms, operational calculus (44-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-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 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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