Edit Profile (opens in new tab) Velo, Giorgio Co-Author Distance Author ID: velo.giorgio Published as: Velo, G.; Velo, Giorgio Documents Indexed: 85 Publications since 1967 4 Contributions as Editor · 1 Further Contribution Co-Authors: 17 Co-Authors with 86 Joint Publications 401 Co-Co-Authors all top 5 Co-Authors 3 single-authored 76 Ginibre, Jean 4 Wightman, Arthur Strong 3 Guenin, Marcel 3 Parenti, Cesare 3 Strocchi, Franco 3 Tsutsumi, Yoshio 1 Bessis, Daniel 1 Collet, Pierre 1 Dôme, G. 1 Douady, Adrien 1 Eckmann, Jean-Pierre 1 Fournier, Jean-Daniel 1 Fröhlich, Jürg Martin 1 Fröhling, Jüerg 1 Gallavotti, Giovanni M. 1 Gårding, Lars 1 Gervais, Jean-Loup 1 Guerra, Francesco 1 Hepp, Klaus 1 Jaffe, Arthur Michael 1 Kadanoff, Leo Philip 1 Lanford, Oscar E. III 1 Nappi, Chiara R. 1 Nelson, Joseph Edward 1 Nironi, Fabio 1 Ozawa, Tohru 1 Ruelle, David Pierre 1 Ruisenaars, S. W. M. 1 Seiler, Ruedi 1 Simon, Barry 1 Soffer, Avraham 1 Stora, Raymond 1 Straeter, Ray 1 Strauss, Walter Alexander 1 Trubowitz, Eugene 1 Zwanziger, Daniel all top 5 Serials 10 Communications in Mathematical Physics 6 Annales Henri Poincaré 5 Journal of Differential Equations 5 Journal of Functional Analysis 4 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Hokkaido Mathematical Journal 3 Mathematische Zeitschrift 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Séminaire Équations aux Dérivées Partielles 2 Helvetica Physica Acta 2 Annals of Physics 2 Lecture Notes in Physics 2 NATO ASI Series. Series B. Physics 1 Journal of Mathematical Physics 1 Reviews in Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Physica D 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Journal of Inequalities and Applications 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis 1 Dynamics of Partial Differential Equations 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Il Nuovo Cimento, X. Series, A 1 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Continuous and Discrete Models all top 5 Fields 77 Partial differential equations (35-XX) 34 Quantum theory (81-XX) 9 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 2,749 times in 1,942 Documents Cited by ▼ Year ▼ On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. Zbl 0396.35028 Ginibre, J.; Velo, G. 322 1979 Generalized Strichartz inequalities for the wave equation. Zbl 0849.35064 Ginibre, J.; Velo, G. 264 1995 On the Cauchy problem for the Zakharov system. Zbl 0894.35108 Ginibre, J.; Tsutsumi, Y.; Velo, G. 213 1997 The global Cauchy problem for the nonlinear Schrödinger equation revisited. Zbl 0586.35042 Ginibre, J.; Velo, G. 179 1985 On a class of nonlinear Schrödinger equations. II. Scattering theory, general case. Zbl 0396.35029 Ginibre, J.; Velo, G. 149 1979 The global Cauchy problem for the nonlinear Klein-Gordon equation. Zbl 0549.35108 Ginibre, J.; Velo, G. 148 1985 Scattering theory in the energy space for a class of nonlinear Schrödinger equations. Zbl 0535.35069 Ginibre, J.; Velo, G. 125 1985 Smoothing properties and retarded estimates for some dispersive evolution equations. Zbl 0762.35008 Ginibre, J.; Velo, G. 103 1992 The classical field limit of scattering theory for non-relativistic many- boson systems. I. Zbl 0443.35067 Ginibre, J.; Velo, G. 101 1979 On a class of non linear Schrödinger equations with non local interactions. Zbl 0407.35063 Ginibre, Jean; Velo, Giorgio 81 1980 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054 Ginibre, J.; Soffer, A.; Velo, G. 77 1992 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods. Zbl 0889.35046 Ginibre, J.; Velo, G. 69 1997 Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations. Zbl 0595.35089 Ginibre, J.; Velo, G. 67 1985 The classical field limit of scattering theory for non-relativistic many- boson systems. II. Zbl 0443.35068 Ginibre, J.; Velo, G. 66 1979 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods. Zbl 0889.35045 Ginibre, J.; Velo, G. 64 1996 On the existence of the wave operators for a class of nonlinear Schrödinger equations. Zbl 0808.35136 Ginibre, J.; Ozawa, T.; Velo, G. 60 1994 Scattering theory in the energy space for a class of nonlinear wave equations. Zbl 0698.35112 Ginibre, J.; Velo, G. 51 1989 The global Cauchy problem for the nonlinear Klein-Gordon equation. II. Zbl 0694.35153 Ginibre, J.; Velo, G. 50 1989 The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge. Zbl 0486.35048 Ginibre, J.; Velo, G. 46 1981 Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation. Zbl 0770.35063 Ginibre, J.; Velo, G. 38 1991 On a class of non linear schrödinger equations. III. Special theories in dimensions 1, 2 and 3. Zbl 0397.35012 Ginibre, J.; Velo, G. 34 1978 Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006 31 1973 On the global Cauchy problem for some nonlinear Schrödinger equations. Zbl 0569.35070 Ginibre, J.; Velo, G. 29 1984 Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions. Zbl 0991.35057 Ginibre, J.; Velo, G. 25 2001 Commutator expansions and smoothing properties of generalized Benjamin- Ono equations. Zbl 0705.35126 Ginibre, J.; Velo, G. 24 1989 Conformal invariance and time decay for nonlinear wave equations. I, II. Zbl 0644.35067 Ginibre, J.; Velo, G. 24 1987 Scattering theory in the energy space for a class of Hartree equations. Zbl 0966.35095 Ginibre, J.; Velo, G. 23 2000 Long range scattering and modified wave operators for some Hartree type equations. II. Zbl 1024.35084 Ginibre, J.; Velo, G. 21 2000 Long range scattering and modified wave operators for some Hartree type equations. I. Zbl 1044.35041 Ginibre, J.; Velo, G. 21 2000 Partially classical limit of the Nelson model. Zbl 1094.81058 Ginibre, Jean; Nironi, Fabio; Velo, Giorgio 20 2006 Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114 Ginibre, J.; Tsutsumi, Y.; Velo, G. 18 1990 The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models. Zbl 0512.58018 Ginibre, J.; Velo, G. 17 1982 Regularity of solutions of critical and subcritical nonlinear wave equations. Zbl 0831.35108 Ginibre, J.; Velo, G. 14 1994 Propriétés de lissage et existence de solutions pour l’équation de Benjamin-Ono généralisée. (Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation). Zbl 0694.35156 Ginibre, Jean; Velo, Giorgio 14 1989 Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations. Zbl 1186.35201 Ginibre, Jean; Velo, Giorgio 14 2010 Long range scattering and modified wave operators for the Maxwell-Schrödinger system. I: The case of vanishing asymptotic magnetic field. Zbl 1038.35048 Ginibre, J.; Velo, G. 11 2003 The classical field limit of non-relativistic Bosons. II: Asymptotic expansions for general potentials. Zbl 0457.47039 Ginibre, J.; Velo, G. 9 1980 Sur une équation de Schrödinger non linéaire avec interaction non locale. Zbl 0497.35024 Ginibre, J.; Velo, G. 9 1982 The classical field limit of nonrelativistic bosons. I: Borel summability for bounded potentials. Zbl 0447.47026 Ginibre, J.; Velo, G. 8 1980 Renormalization of a quadratic interaction in the Hamiltonian formalism. Zbl 0195.28204 Ginibre, J.; Velo, G. 8 1970 Scattering theory for the Zakharov system. Zbl 1123.35068 Ginibre, J.; Velo, G. 7 2006 Long range scattering and modified wave operators for the wave-Schrödinger system. Zbl 1025.35014 Ginibre, J.; Velo, G. 7 2002 Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. Zbl 0435.35001 6 1978 Mathematical aspects of the nonlinear Schrödinger equation. Zbl 0924.35151 Velo, Giorgio 5 1996 Equation de Schrödinger non linéaire avec interaction non locale. Zbl 0397.35013 Ginibre, Jean; Velo, Giorgio 5 1979 Théorie de la diffusion dans l’espace d’énergie pour une classe d’équations de Schrödinger non linéaires. (Scattering theory in the energy space for a class of nonlinear Schrödinger equations). Zbl 0593.35078 Ginibre, Jean; Velo, Giorgio 5 1984 The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge. Zbl 0486.35049 Ginibre, J.; Velo, G. 5 1982 Long range scattering and modified wave operators for the Maxwell-Schrödinger system. II: The general case. Zbl 1128.81029 Ginibre, Jean; Velo, Giorgio 5 2007 Long range scattering for the Maxwell-Schrödinger system with large magnetic field data and small Schrödinger data. Zbl 1153.35071 Ginibre, Jean; Velo, Giorgio 5 2006 Hilbert space sectors for solutions of non-linear relativistic equations. Zbl 0355.35062 Parenti, C.; Velo, G. 4 1977 Long range scattering and modified wave operators for the wave-Schrödinger system. II. Zbl 1106.35097 Ginibre, J.; Velo, G. 4 2003 A local approach to some nonlinear evolution equations of hyperbolic type. Zbl 0332.35040 Parenti, C.; Strocchi, F.; Velo, G. 3 1976 Modified wave operators without loss of regularity for some long-range Hartree equations. I. Zbl 1294.81261 Ginibre, Jean; Velo, Giorgio 3 2014 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. Zbl 0889.35047 Ginibre, Jean; Velo, Giorgio 3 1997 Generalized Strichartz inequalities for the wave equation. Zbl 0839.35016 Ginibre, J.; Velo, G. 3 1995 Long range scattering and mofified wave operators for the wave-Schrödinger system. III. Zbl 1107.35095 Ginibre, J.; Velo, G. 3 2005 Long range scattering for the wave-Schrödinger system revisited. Zbl 1232.35109 Ginibre, J.; Velo, G. 3 2012 Fundamental problems of gauge field theory. Proceedings of the sixth “Ettore Majorana” international school of mathematical physics and NATO Advanced Study Institute, held at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy, July 1-14, 1985. Zbl 0697.53079 3 1986 Generalized Strichartz inequalities for the wave equation. (Inégalités de Strichartz généralisées pour l’équation des ondes.) Zbl 0879.35089 Ginibre, J.; Velo, G. 3 1995 Long range scattering for some Schrödinger related nonlinear systems. Zbl 1189.35211 Ginibre, J.; Velo, G. 3 2006 The Cauchy problem in the energy space for the nonlinear Schrödinger and nonlinear Klein-Gordon equations. Zbl 0617.35027 Ginibre, J.; Velo, G. 2 1986 Scattering theory in the energy space for a class of nonlinear Schrödinger equations. Zbl 0626.35073 Ginibre, J.; Velo, G. 2 1986 Localized estimates and Cauchy problem for the logarithmic complex Ginzburg-Landau equation. Zbl 0877.35116 Ginibre, J.; Velo, G. 2 1997 Long range scattering for the wave-Schrödinger system with large wave data and small Schrödinger data. Zbl 1107.35101 Ginibre, J.; Velo, G. 2 2006 Scattering theory for the Schrödinger equation in some external time-dependent magnetic fields. Zbl 1080.35103 Ginibre, J.; Velo, G. 2 2005 The Cauchy problem for the Yang-Mills equations. Zbl 0584.35093 Ginibre, J.; Velo, G. 1 1985 Conformal invariance and time decay for nonlinear wave equations. Zbl 0703.35022 Ginibre, J.; Velo, G. 1 1989 An existence theorem for a massive vector meson in an external electromagnetic field. Zbl 1358.81161 Velo, G. 1 1975 Modified wave operators without loss of regularity for some long range Hartree equations. II. Zbl 1323.35122 Ginibre, Jean; Velo, Giorgio 1 2015 Generalized Strichartz inequalities for the wave equation in homogeneous Besov spaces. Zbl 0901.35011 Ginibre, J.; Velo, G. 1 1997 Automorphisms and broken symmetries in algebraic quantum field theories. Zbl 0179.58104 Guenin, M.; Velo, G. 1 1967 Long range scattering for the Maxwell-Schrödinger system with arbitrarily large asymptotic data. Zbl 1173.35645 Ginibre, J.; Velo, G. 1 2008 Modified wave operators without loss of regularity for some long range Hartree equations. II. Zbl 1323.35122 Ginibre, Jean; Velo, Giorgio 1 2015 Modified wave operators without loss of regularity for some long-range Hartree equations. I. Zbl 1294.81261 Ginibre, Jean; Velo, Giorgio 3 2014 Long range scattering for the wave-Schrödinger system revisited. Zbl 1232.35109 Ginibre, J.; Velo, G. 3 2012 Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations. Zbl 1186.35201 Ginibre, Jean; Velo, Giorgio 14 2010 Long range scattering for the Maxwell-Schrödinger system with arbitrarily large asymptotic data. Zbl 1173.35645 Ginibre, J.; Velo, G. 1 2008 Long range scattering and modified wave operators for the Maxwell-Schrödinger system. II: The general case. Zbl 1128.81029 Ginibre, Jean; Velo, Giorgio 5 2007 Partially classical limit of the Nelson model. Zbl 1094.81058 Ginibre, Jean; Nironi, Fabio; Velo, Giorgio 20 2006 Scattering theory for the Zakharov system. Zbl 1123.35068 Ginibre, J.; Velo, G. 7 2006 Long range scattering for the Maxwell-Schrödinger system with large magnetic field data and small Schrödinger data. Zbl 1153.35071 Ginibre, Jean; Velo, Giorgio 5 2006 Long range scattering for some Schrödinger related nonlinear systems. Zbl 1189.35211 Ginibre, J.; Velo, G. 3 2006 Long range scattering for the wave-Schrödinger system with large wave data and small Schrödinger data. Zbl 1107.35101 Ginibre, J.; Velo, G. 2 2006 Long range scattering and mofified wave operators for the wave-Schrödinger system. III. Zbl 1107.35095 Ginibre, J.; Velo, G. 3 2005 Scattering theory for the Schrödinger equation in some external time-dependent magnetic fields. Zbl 1080.35103 Ginibre, J.; Velo, G. 2 2005 Long range scattering and modified wave operators for the Maxwell-Schrödinger system. I: The case of vanishing asymptotic magnetic field. Zbl 1038.35048 Ginibre, J.; Velo, G. 11 2003 Long range scattering and modified wave operators for the wave-Schrödinger system. II. Zbl 1106.35097 Ginibre, J.; Velo, G. 4 2003 Long range scattering and modified wave operators for the wave-Schrödinger system. Zbl 1025.35014 Ginibre, J.; Velo, G. 7 2002 Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions. Zbl 0991.35057 Ginibre, J.; Velo, G. 25 2001 Scattering theory in the energy space for a class of Hartree equations. Zbl 0966.35095 Ginibre, J.; Velo, G. 23 2000 Long range scattering and modified wave operators for some Hartree type equations. II. Zbl 1024.35084 Ginibre, J.; Velo, G. 21 2000 Long range scattering and modified wave operators for some Hartree type equations. I. Zbl 1044.35041 Ginibre, J.; Velo, G. 21 2000 On the Cauchy problem for the Zakharov system. Zbl 0894.35108 Ginibre, J.; Tsutsumi, Y.; Velo, G. 213 1997 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods. Zbl 0889.35046 Ginibre, J.; Velo, G. 69 1997 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. Zbl 0889.35047 Ginibre, Jean; Velo, Giorgio 3 1997 Localized estimates and Cauchy problem for the logarithmic complex Ginzburg-Landau equation. Zbl 0877.35116 Ginibre, J.; Velo, G. 2 1997 Generalized Strichartz inequalities for the wave equation in homogeneous Besov spaces. Zbl 0901.35011 Ginibre, J.; Velo, G. 1 1997 The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods. Zbl 0889.35045 Ginibre, J.; Velo, G. 64 1996 Mathematical aspects of the nonlinear Schrödinger equation. Zbl 0924.35151 Velo, Giorgio 5 1996 Generalized Strichartz inequalities for the wave equation. Zbl 0849.35064 Ginibre, J.; Velo, G. 264 1995 Generalized Strichartz inequalities for the wave equation. Zbl 0839.35016 Ginibre, J.; Velo, G. 3 1995 Generalized Strichartz inequalities for the wave equation. (Inégalités de Strichartz généralisées pour l’équation des ondes.) Zbl 0879.35089 Ginibre, J.; Velo, G. 3 1995 On the existence of the wave operators for a class of nonlinear Schrödinger equations. Zbl 0808.35136 Ginibre, J.; Ozawa, T.; Velo, G. 60 1994 Regularity of solutions of critical and subcritical nonlinear wave equations. Zbl 0831.35108 Ginibre, J.; Velo, G. 14 1994 Smoothing properties and retarded estimates for some dispersive evolution equations. Zbl 0762.35008 Ginibre, J.; Velo, G. 103 1992 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054 Ginibre, J.; Soffer, A.; Velo, G. 77 1992 Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation. Zbl 0770.35063 Ginibre, J.; Velo, G. 38 1991 Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation. Zbl 0662.35114 Ginibre, J.; Tsutsumi, Y.; Velo, G. 18 1990 Scattering theory in the energy space for a class of nonlinear wave equations. Zbl 0698.35112 Ginibre, J.; Velo, G. 51 1989 The global Cauchy problem for the nonlinear Klein-Gordon equation. II. Zbl 0694.35153 Ginibre, J.; Velo, G. 50 1989 Commutator expansions and smoothing properties of generalized Benjamin- Ono equations. Zbl 0705.35126 Ginibre, J.; Velo, G. 24 1989 Propriétés de lissage et existence de solutions pour l’équation de Benjamin-Ono généralisée. (Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation). Zbl 0694.35156 Ginibre, Jean; Velo, Giorgio 14 1989 Conformal invariance and time decay for nonlinear wave equations. Zbl 0703.35022 Ginibre, J.; Velo, G. 1 1989 Conformal invariance and time decay for nonlinear wave equations. I, II. Zbl 0644.35067 Ginibre, J.; Velo, G. 24 1987 Fundamental problems of gauge field theory. Proceedings of the sixth “Ettore Majorana” international school of mathematical physics and NATO Advanced Study Institute, held at the Ettore Majorana Center for Scientific Culture, Erice, Sicily, Italy, July 1-14, 1985. Zbl 0697.53079 3 1986 The Cauchy problem in the energy space for the nonlinear Schrödinger and nonlinear Klein-Gordon equations. Zbl 0617.35027 Ginibre, J.; Velo, G. 2 1986 Scattering theory in the energy space for a class of nonlinear Schrödinger equations. Zbl 0626.35073 Ginibre, J.; Velo, G. 2 1986 The global Cauchy problem for the nonlinear Schrödinger equation revisited. Zbl 0586.35042 Ginibre, J.; Velo, G. 179 1985 The global Cauchy problem for the nonlinear Klein-Gordon equation. Zbl 0549.35108 Ginibre, J.; Velo, G. 148 1985 Scattering theory in the energy space for a class of nonlinear Schrödinger equations. Zbl 0535.35069 Ginibre, J.; Velo, G. 125 1985 Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations. Zbl 0595.35089 Ginibre, J.; Velo, G. 67 1985 The Cauchy problem for the Yang-Mills equations. Zbl 0584.35093 Ginibre, J.; Velo, G. 1 1985 On the global Cauchy problem for some nonlinear Schrödinger equations. Zbl 0569.35070 Ginibre, J.; Velo, G. 29 1984 Théorie de la diffusion dans l’espace d’énergie pour une classe d’équations de Schrödinger non linéaires. (Scattering theory in the energy space for a class of nonlinear Schrödinger equations). Zbl 0593.35078 Ginibre, Jean; Velo, Giorgio 5 1984 The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models. Zbl 0512.58018 Ginibre, J.; Velo, G. 17 1982 Sur une équation de Schrödinger non linéaire avec interaction non locale. Zbl 0497.35024 Ginibre, J.; Velo, G. 9 1982 The Cauchy problem for coupled Yang-Mills and scalar fields in the Lorentz gauge. Zbl 0486.35049 Ginibre, J.; Velo, G. 5 1982 The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge. Zbl 0486.35048 Ginibre, J.; Velo, G. 46 1981 On a class of non linear Schrödinger equations with non local interactions. Zbl 0407.35063 Ginibre, Jean; Velo, Giorgio 81 1980 The classical field limit of non-relativistic Bosons. II: Asymptotic expansions for general potentials. Zbl 0457.47039 Ginibre, J.; Velo, G. 9 1980 The classical field limit of nonrelativistic bosons. I: Borel summability for bounded potentials. Zbl 0447.47026 Ginibre, J.; Velo, G. 8 1980 On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. Zbl 0396.35028 Ginibre, J.; Velo, G. 322 1979 On a class of nonlinear Schrödinger equations. II. Scattering theory, general case. Zbl 0396.35029 Ginibre, J.; Velo, G. 149 1979 The classical field limit of scattering theory for non-relativistic many- boson systems. I. Zbl 0443.35067 Ginibre, J.; Velo, G. 101 1979 The classical field limit of scattering theory for non-relativistic many- boson systems. II. Zbl 0443.35068 Ginibre, J.; Velo, G. 66 1979 Equation de Schrödinger non linéaire avec interaction non locale. Zbl 0397.35013 Ginibre, Jean; Velo, Giorgio 5 1979 On a class of non linear schrödinger equations. III. Special theories in dimensions 1, 2 and 3. Zbl 0397.35012 Ginibre, J.; Velo, G. 34 1978 Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. Zbl 0435.35001 6 1978 Hilbert space sectors for solutions of non-linear relativistic equations. Zbl 0355.35062 Parenti, C.; Velo, G. 4 1977 A local approach to some nonlinear evolution equations of hyperbolic type. Zbl 0332.35040 Parenti, C.; Strocchi, F.; Velo, G. 3 1976 An existence theorem for a massive vector meson in an external electromagnetic field. Zbl 1358.81161 Velo, G. 1 1975 Constructive quantum field theory. The 1973 ’Ettore Majorana’ international school of mathematical physics. Zbl 0325.00006 31 1973 Renormalization of a quadratic interaction in the Hamiltonian formalism. Zbl 0195.28204 Ginibre, J.; Velo, G. 8 1970 Automorphisms and broken symmetries in algebraic quantum field theories. Zbl 0179.58104 Guenin, M.; Velo, G. 1 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,490 Authors 37 Hayashi, Nakao 35 Ozawa, Tohru 34 Merle, Frank 34 Velo, Giorgio 33 Ginibre, Jean 32 Guo, Boling 27 Miao, Changxing 27 Oh, Tadahiro 25 Zhang, Jian 24 Kenig, Carlos Eduardo 22 Cazenave, Thierry 22 Nakanishi, Kenji 22 Schlein, Benjamin 21 Carles, Rémi 20 Kaikina, Elena Igorevna 20 Nakamura, Makoto 20 Naumkin, Pavel Ivanovich 20 Tzvetkov, Nikolay 19 Vega, Luis 18 Zheng, Jiqiang 17 Raphael, Pierre 17 Visciglia, Nicola 16 Murphy, Jason 15 Gan, Zaihui 15 Wang, Baoxiang 15 Zhang, Junyong 14 Hoshino, Gaku 14 Seo, Ihyeok 14 Tsutsumi, Yoshio 14 Visan, Monica 13 D’Ancona, Piero 13 Falconi, Marco 13 Herr, Sebastian 13 Pecher, Hartmut 13 Tataru, Daniel 13 Wang, Yuzhao 12 Antonelli, Paolo 12 Duyckaerts, Thomas 12 Martel, Yvan 12 Naumkin, Ivan P. 12 Ponce, Gustavo 12 Saanouni, Tarek 12 Soffer, Avraham 12 Staffilani, Gigliola 11 Colliander, James E. 11 Dodson, Benjamin G. 11 Georgiev, Vladimir S. 11 Masmoudi, Nader 11 Pierfelice, Vittoria 11 Roudenko, Svetlana 11 Wada, Takeshi 11 Zaag, Hatem 10 Banica, Valeria 10 Fanelli, Luca 10 Guo, Zihua 10 Ibrahim, Slim 10 Killip, Rowan 10 Ogawa, Takayoshi 10 Pocovnicu, Oana 10 Saut, Jean-Claude 10 Xu, Guixiang 10 Zhang, Xiaoyi 10 Zhao, Lifeng 9 Corcho, Adán J. 9 Farah, Luiz Gustavo 9 Figueira, Mário S. R. 9 Kinoshita, Shinya 9 Koh, Youngwoo 9 Mizutani, Haruya 9 Shen, Ruipeng 9 Tao, Terence 9 Zhu, Shihui 8 Burq, Nicolas 8 Colin, Thierry 8 Grünrock, Axel 8 Inui, Takahisa 8 Leopold, Nikolai 8 Lewin, Mathieu 8 Marcati, Pierangelo 8 Phan Thành Nam 8 Stefanov, Atanas G. 7 Carvajal, Xavier Paredes 7 Correia, Simão 7 Dinh, Van Duong 7 Erdős, László 7 Fang, Yung-Fu 7 Gerard, Patrick 7 Huh, Hyungjin 7 Ikeda, Masahiro 7 Kawamoto, Masaki 7 Lee, Sanghyuk 7 Li, Yongsheng 7 Linares, Felipe 7 Ma, Li 7 Machedon, Matei 7 Masaki, Satoshi 7 Petrat, Sören 7 Pickl, Peter 7 Segata, Jun-ichi 7 Shu, Ji ...and 1,390 more Authors all top 5 Cited in 276 Serials 123 Journal of Differential Equations 103 Communications in Mathematical Physics 91 Journal of Mathematical Analysis and Applications 82 Communications in Partial Differential Equations 80 Journal of Mathematical Physics 75 Journal of Functional Analysis 74 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 43 Discrete and Continuous Dynamical Systems 42 Transactions of the American Mathematical Society 33 Proceedings of the American Mathematical Society 30 Communications on Pure and Applied Analysis 29 Archive for Rational Mechanics and Analysis 26 Physica D 26 Journal of Evolution Equations 25 Mathematische Annalen 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Annales de l’Institut Henri Poincaré. Physique Théorique 23 Communications in Contemporary Mathematics 22 Annales Henri Poincaré 22 Journal of Hyperbolic Differential Equations 21 Advances in Mathematics 21 NoDEA. Nonlinear Differential Equations and Applications 20 Applicable Analysis 18 SIAM Journal on Mathematical Analysis 18 Analysis & PDE 17 Nonlinearity 16 Mathematische Zeitschrift 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Duke Mathematical Journal 15 Nonlinear Analysis. Theory, Methods & Applications 13 Journal of Statistical Physics 12 Communications on Pure and Applied Mathematics 12 Journal d’Analyse Mathématique 12 Mathematical Methods in the Applied Sciences 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Revista Matemática Iberoamericana 11 Science China. Mathematics 10 Journal of the American Mathematical Society 10 Acta Mathematica Sinica. English Series 10 Discrete and Continuous Dynamical Systems. Series B 10 Séminaire Laurent Schwartz. EDP et Applications 9 Letters in Mathematical Physics 9 Journal of Dynamics and Differential Equations 9 Journal of the European Mathematical Society (JEMS) 8 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Calculus of Variations and Partial Differential Equations 8 The Journal of Fourier Analysis and Applications 8 Discrete and Continuous Dynamical Systems. Series S 8 SN Partial Differential Equations and Applications 7 Journal of Computational Physics 7 Mathematical Notes 7 Reviews in Mathematical Physics 7 Quarterly of Applied Mathematics 7 Bulletin of the American Mathematical Society. New Series 6 Applied Mathematics and Computation 6 Bulletin de la Société Mathématique de France 6 Acta Applicandae Mathematicae 6 Applied Mathematics Letters 6 The Journal of Geometric Analysis 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Nonlinear Science 6 Nonlinear Analysis. Real World Applications 6 Annals of PDE 6 Pure and Applied Analysis 5 Annales de l’Institut Fourier 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Indiana University Mathematics Journal 5 Inventiones Mathematicae 5 Manuscripta Mathematica 5 Mathematische Nachrichten 5 Memoirs of the American Mathematical Society 5 Osaka Journal of Mathematics 5 Chinese Annals of Mathematics. Series B 5 Applied Numerical Mathematics 5 Electronic Journal of Differential Equations (EJDE) 5 Advanced Nonlinear Studies 5 Forum of Mathematics, Sigma 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 Archiv der Mathematik 4 Journal of the Mathematical Society of Japan 4 Pacific Journal of Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Bulletin des Sciences Mathématiques 4 Doklady Mathematics 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Journal of Fixed Point Theory and Applications 4 Kyoto Journal of Mathematics 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Theoretical and Mathematical Physics 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Soviet Mathematics ...and 176 more Serials all top 5 Cited in 49 Fields 1,816 Partial differential equations (35-XX) 322 Quantum theory (81-XX) 144 Statistical mechanics, structure of matter (82-XX) 131 Fluid mechanics (76-XX) 119 Dynamical systems and ergodic theory (37-XX) 101 Operator theory (47-XX) 77 Harmonic analysis on Euclidean spaces (42-XX) 71 Probability theory and stochastic processes (60-XX) 70 Global analysis, analysis on manifolds (58-XX) 63 Functional analysis (46-XX) 54 Optics, electromagnetic theory (78-XX) 48 Numerical analysis (65-XX) 24 Differential geometry (53-XX) 23 Relativity and gravitational theory (83-XX) 21 Ordinary differential equations (34-XX) 20 Topological groups, Lie groups (22-XX) 20 Real functions (26-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Mechanics of particles and systems (70-XX) 14 Abstract harmonic analysis (43-XX) 9 Systems theory; control (93-XX) 8 Measure and integration (28-XX) 8 Functions of a complex variable (30-XX) 8 Integral equations (45-XX) 8 Mechanics of deformable solids (74-XX) 7 Integral transforms, operational calculus (44-XX) 6 Potential theory (31-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year