Edit Profile (opens in new tab) Georgiev, Vladimir S. Compute Distance To: Compute Author ID: georgiev.vladimir-s Published as: Georgiev, Vladimir; Georgiev, V. S.; Georgiev, V.; Georgiev, Vladimir S.; Georgiev, V more...less External Links: MGP · ORCID Documents Indexed: 145 Publications since 1982, including 3 Books 2 Contributions as Editor Reviewing Activity: 36 Reviews Biographic References: 1 Publication Co-Authors: 72 Co-Authors with 107 Joint Publications 1,094 Co-Co-Authors all top 5 Co-Authors 28 single-authored 12 Visciglia, Nicola 9 D’Ancona, Piero 9 Ozawa, Tohru 8 Fujiwara, Kazumasa 6 Kubo, Hideo 6 Lucente, Sandra 5 Arnaoudov, Iani 5 Tarulli, Mirko 4 Bellazzini, Jacopo 4 Giammetta, Anna Rita 3 Schirmer, Pedro Paulo 3 Stefanov, Atanas G. 3 Todorova, Grozdena Hr. 2 Andreescu, Titu 2 Arnaudov, Ya. N. 2 Catania, Davide 2 Covachev, Valéry C. 2 Di Pomponio, Stefania 2 Esteban, Maria J. 2 Forcella, Luigi 2 Garrisi, Daniele 2 Heiming, Charlotte 2 Ivanov, Angel 2 Kovachev, V. Khr. 2 Lenzmann, Enno 2 Mushkarov, Oleg K. 2 Palmieri, Alessandro 2 Petkov, Vesselin M. 2 Popivanov, Petar Radoev 2 Séré, Eric 2 Wirth, Jens 1 Acquistapace, Paolo 1 Barbera, Daniele 1 Bushev, St. 1 Candeloro, Anna P. 1 Coclite, Giuseppe Maria 1 Cuccagna, Scipio 1 D’Abbicco, Marcello 1 Dassios, George 1 Del Corso, Giulio 1 Del Santo, Daniele 1 Ebert, Marcelo Rempel 1 Evtimova, E. N. 1 Fukaya, Noriyoshi 1 Grigorov, Andrij V. 1 Ikeda, Masahiro 1 Karadzhov, Georgi Eremiev 1 Kuchinov, Jordan 1 Li, Chunhua 1 Lindblad, Hans 1 Maiale, Francesco Paolo 1 Manca, Maria L. 1 Marinov, Marin L. 1 Mauro, Jmmy Alfonso 1 Meskhi, Alexander 1 Michelangeli, Alessandro 1 Milani, Albert J. 1 Mitidieri, Enzo Luigi 1 Ohta, Masahito 1 Ouroushev, D. 1 Prinari, Francesca 1 Rubino, Bruno 1 Ruzhansky, Michael V. 1 Sampalmieri, Rosella 1 Scandone, Raffaele 1 Shakarov, Boris 1 Sogge, Christopher D. 1 Stanilov, Grozio 1 Stefanov, Plamen D. 1 Stepanov, Eugene 1 Takamura, Hiroyuki 1 Taniguchi, Koichi 1 Tzvetkov, Nikolay 1 Velichkov, Bozhidar 1 Wakasa, Kyouhei 1 Yi, Zhou 1 Ziliotti, Guido all top 5 Serials 16 Doklady Bolgarskoĭ Akademii Nauk 7 Journal of Differential Equations 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Communications in Partial Differential Equations 6 PLISKA. Studia Mathematica 5 Discrete and Continuous Dynamical Systems 4 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Communications in Mathematical Physics 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 American Mathematical Monthly 2 Communications on Pure and Applied Mathematics 2 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 2 Journal of Mathematical Physics 2 Hokkaido Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Journal of Operator Theory 2 Physica D 2 Asymptotic Analysis 2 Differential and Integral Equations 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 NoDEA. Nonlinear Differential Equations and Applications 2 Serdica Mathematical Journal 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 MSJ Memoirs 2 Trends in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 PLISKA. Studia Mathematica Bulgarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Serdica 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Matemática Aplicada e Computacional 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 The Journal of Fourier Analysis and Applications 1 Proceedings of A. Razmadze Mathematical Institute 1 RIMS Kokyuroku 1 Mathematical Modelling and Analysis 1 Canadian Journal of Physics 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 Dynamics of Partial Differential Equations 1 European Journal of Mathematics all top 5 Fields 135 Partial differential equations (35-XX) 16 Quantum theory (81-XX) 15 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 4 Abstract harmonic analysis (43-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 956 times in 793 Documents Cited by ▼ Year ▼ Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092Georgiev, Vladimir; Todorova, Grozdena 293 1994 Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D. 122 1997 Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. Zbl 0869.35105Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric 48 1996 Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo 35 1997 Small amplitude solutions of the Maxwell-Dirac equations. Zbl 0754.35171Georgiev, Vladimir 32 1991 Global solution of the system of wave and Klein-Gordon equations. Zbl 0671.35052Georgiev, Vladimir 31 1990 Decay estimates for the Klein-Gordon equation. Zbl 0767.35068Georgiev, Vladimir 30 1992 Decay estimates for the wave equation with potential. Zbl 1035.35059Georgiev, Vladimir; Visciglia, Nicola 25 2003 Solitary waves for Maxwell-Schrödinger equations. Zbl 1064.35180Coclite, Giuseppe Maria; Georgiev, Vladimir 25 2004 The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou 19 2006 Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko 18 2007 Weighted decay estimates for the wave equation. Zbl 0995.35011D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo 16 2001 Higher order fractional Leibniz rule. Zbl 1400.46027Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 16 2018 Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension. Zbl 1392.35279Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola 15 2018 Decay and scattering of small solutions of pure power NLS in \(\mathbb R\) with \(p>3\) and with a potential. Zbl 1293.35290Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola 14 2014 Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations. Zbl 1253.35158Georgiev, Vladimir; Ohta, Masahito 13 2012 Semilinear hyperbolic equations. Zbl 0959.35002Georgiev, Vladimir 12 2000 Blow-up for the semilinear wave equation in the Schwarzschild metric. Zbl 1212.35314Catania, Davide; Georgiev, Vladimir 11 2006 Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation. Zbl 0930.35109Georgiev, Vladimir; Lucente, Sandra 11 1999 On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Zbl 1260.35204Georgiev, Vladimir; Prinari, Francesca; Visciglia, Nicola 9 2012 Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential. Zbl 1078.35098Georgiev, Vladimir; Visciglia, Nicola 9 2005 On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola 8 2019 Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential. Zbl 1219.35086Georgiev, Vladimir; Venkov, George 8 2011 Global solution to the two-dimensional Klein-Gordon equation. Zbl 0741.35039Georgiev, V.; Popivanov, P. 8 1991 Global existence for elastic waves with memory. Zbl 1069.74025Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella 8 2005 Life-span of subcritical semilinear wave equation. Zbl 0994.35094Di Pomponio, S.; Georgiev, V. 6 2001 Supercritical semilinear wave equation with non-negative potential. Zbl 0994.35091Georgiev, Vladimir; Heiming, Charlotte; Kubo, Hideo 6 2001 On fractional powers of singular perturbations of the Laplacian. Zbl 06901704Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele 6 2018 Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. Zbl 1441.35036Georgiev, Vladimir; Palmieri, Alessandro 6 2020 Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems. Zbl 0862.35096Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric 6 1996 Global existence of low regularity solutions of nonlinear wave equations. Zbl 0824.35074Georgiev, Vladimir; Schirmer, Pedro Paulo 5 1995 Existence and uniqueness of ground states for \(p\)-Choquard model. Zbl 1406.35318Georgiev, Vladimir; Tarulli, Mirko; Venkov, George 5 2019 On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147Georgiev, Vladimir; Stefanov, Atanas 4 2018 Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055Stefanov, P.; Georgiev, V. 4 1988 Decay for nonlinear Klein-Gordon equations. Zbl 1065.35062Georgiev, Vladimir; Lucente, Sandra 4 2004 On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola 4 2016 On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 3 2020 Critical exponent for nonlinear damped wave equations with non-negative potential in 3D. Zbl 1435.35252Georgiev, Vladimir; Kubo, Hideo; Wakasa, Kyouhei 3 2019 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 3 2018 Disappearing solutions for dissipative hyperbolic systems of constant multiplicity. Zbl 0655.35054Georgiev, V. 3 1986 Semilinear hyperbolic equations. 2nd ed. Zbl 1080.35118Georgiev, Vladimir 3 2005 Existence of global solutions to supercritical semilinear wave equations. Zbl 0859.35075Georgiev, V. 3 1996 Orbital stability and uniqueness of the ground state for the non-linear Schrödinger equation in dimension one. Zbl 1366.35167Garrisi, Daniele; Georgiev, Vladimir 3 2017 Correction to: “Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension”. Zbl 1439.35437Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola 2 2020 Focusing NLKG equation with singular potential. Zbl 1394.35279Georgiev, Vladimir; Lucente, Sandra 2 2018 About resonances for Schrödinger operators with short range singular perturbation. Zbl 1142.35012Georgiev, V.; Visciglia, N. 2 2007 Existence and completeness of the wave operators for dissipative hyperbolic systems. Zbl 0589.47010Georgiev, V. S. 2 1985 Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001Georgiev, Vladimir; Petkov, Vesselin 2 1986 Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087D’Ancona, Piero; Georgiev, Vladimir 2 2005 Napoleon polygons. Zbl 1322.51007Andreescu, Titu; Georgiev, Vladimir; Mushkarov, Oleg 2 2015 Lower bound for the life-span of higher dimensional semilinear wave equation. Zbl 0967.35094Di Pomponio, S.; Georgiev, V. 1 2001 On the continuity of the solution operator to the wave map system. Zbl 1043.35032D’Ancona, Piero; Georgiev, Vladimir 1 2004 On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms. Zbl 0890.35088Georgiev, Vladimir; Milani, Albert 1 1998 Decay estimates for hyperbolic systems. Zbl 1053.35028Georgiev, Vladimir; Lucente, Sandra; Ziliotti, Guido 1 2004 Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103d’Ancona, Piero; Georgiev, Vladimir 1 2004 \(L^\infty\) -\(L^2\) weighted estimate for the wave equation with potential. Zbl 1072.35111Visciglia, Nicola; Georgiev, Vladimir 1 2003 Blowup dynamics for mass critical half-wave equation in 3D. Zbl 1472.35355Georgiev, Vladimir; Li, Yuan 1 2021 Note for global existence of semilinear heat equation in weighted \(L^\infty\) space. Zbl 1449.35260Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Zero resonances for localised potentials. Zbl 1394.81116Georgiev, V.; Wirth, J. 1 2018 A counterpart of the Poincaré group for pseudodifferential operators. Zbl 0767.35115Covachev, V. Chr.; Georgiev, V. S. 1 1991 Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential. Zbl 1257.35169Georgiev, Vladimir; Velichkov, Bozhidar 1 2012 Inverse scattering problem for dissipative wave equation. Zbl 0732.35106Georgiev, V.; Arnaoudov, Ya. 1 1990 Global solution for three-dimensional weak viscosity. Zbl 0830.35081Georgiev, V.; Todorova, G. 1 1994 Concentration of local energy for two-dimensional wave maps. Zbl 1071.35070Georgiev, Vladimir; Ivanov, Angel 1 2003 Existence and mapping properties of the wave operator for the Schrödinger equation with singular potential. Zbl 1154.35434Georgiev, Vladimir; Ivanov, Angel 1 2005 Ill posedness for the 2-D wave equation. Zbl 1061.35157D’Ancona, Piero; Georgiev, Vladimir 1 2003 Endpoint Strichartz estimates for the wave equation in the critical case. Zbl 1077.35034Georgiev, Vladimir; Karadzhov, Georgi; Visciglia, Nicola 1 2004 L’existence des solutions globales pour des systèmes non linéaires avec champs massifs et sans masse. (Existence of global solutions for nonlinear systems with mass and massless fields). Zbl 0696.35114Georgiev, Vladimir 1 1989 Existence des solutions globales pour le système de Maxwell-Dirac. (Existence of global solutions for the Maxwell-Dirac system). Zbl 0703.35153Georgiev, Vladimir 1 1990 Uniform boundedness of the energy for time-periodic potentials. Zbl 0704.35112Georgiev, Vladimir S. 1 1990 RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094Petkov, Vesselin M.; Georgiev, Vladimir S. 1 1989 Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. Zbl 1100.35019Georgiev, Vladimir; Tarulli, Mirko 1 2006 On fractional Leibniz rule for Dirichlet Laplacian in exterior domain. Zbl 1404.35219Georgiev, Vladimir; Taniguchi, Koichi 1 2019 Sectorial Hamiltonians without zero resonance in one dimension. Zbl 1357.47046Georgiev, Vladimir; Giammetta, Anna Rita 1 2016 On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131Georgiev, Vladimir; Li, Chunhua 1 2019 Correction to: “On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations”. Zbl 07333705Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola 1 2021 Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group. Zbl 1461.35129Georgiev, Vladimir; Palmieri, Alessandro 1 2021 On global existence of \(L^2\) solutions for 1D periodic NLS with quadratic nonlinearity. Zbl 07406065Fujiwara, Kazumasa; Georgiev, Vladimir 1 2021 Blowup dynamics for mass critical half-wave equation in 3D. Zbl 1472.35355Georgiev, Vladimir; Li, Yuan 1 2021 Correction to: “On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations”. Zbl 07333705Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola 1 2021 Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group. Zbl 1461.35129Georgiev, Vladimir; Palmieri, Alessandro 1 2021 On global existence of \(L^2\) solutions for 1D periodic NLS with quadratic nonlinearity. Zbl 07406065Fujiwara, Kazumasa; Georgiev, Vladimir 1 2021 Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. Zbl 1441.35036Georgiev, Vladimir; Palmieri, Alessandro 6 2020 On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 3 2020 Correction to: “Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension”. Zbl 1439.35437Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola 2 2020 On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola 8 2019 Existence and uniqueness of ground states for \(p\)-Choquard model. Zbl 1406.35318Georgiev, Vladimir; Tarulli, Mirko; Venkov, George 5 2019 Critical exponent for nonlinear damped wave equations with non-negative potential in 3D. Zbl 1435.35252Georgiev, Vladimir; Kubo, Hideo; Wakasa, Kyouhei 3 2019 Note for global existence of semilinear heat equation in weighted \(L^\infty\) space. Zbl 1449.35260Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 1 2019 On fractional Leibniz rule for Dirichlet Laplacian in exterior domain. Zbl 1404.35219Georgiev, Vladimir; Taniguchi, Koichi 1 2019 On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131Georgiev, Vladimir; Li, Chunhua 1 2019 Higher order fractional Leibniz rule. Zbl 1400.46027Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 16 2018 Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension. Zbl 1392.35279Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola 15 2018 On fractional powers of singular perturbations of the Laplacian. Zbl 06901704Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele 6 2018 On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147Georgiev, Vladimir; Stefanov, Atanas 4 2018 Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru 3 2018 Focusing NLKG equation with singular potential. Zbl 1394.35279Georgiev, Vladimir; Lucente, Sandra 2 2018 Zero resonances for localised potentials. Zbl 1394.81116Georgiev, V.; Wirth, J. 1 2018 Orbital stability and uniqueness of the ground state for the non-linear Schrödinger equation in dimension one. Zbl 1366.35167Garrisi, Daniele; Georgiev, Vladimir 3 2017 On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola 4 2016 Sectorial Hamiltonians without zero resonance in one dimension. Zbl 1357.47046Georgiev, Vladimir; Giammetta, Anna Rita 1 2016 Napoleon polygons. Zbl 1322.51007Andreescu, Titu; Georgiev, Vladimir; Mushkarov, Oleg 2 2015 Decay and scattering of small solutions of pure power NLS in \(\mathbb R\) with \(p>3\) and with a potential. Zbl 1293.35290Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola 14 2014 Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations. Zbl 1253.35158Georgiev, Vladimir; Ohta, Masahito 13 2012 On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Zbl 1260.35204Georgiev, Vladimir; Prinari, Francesca; Visciglia, Nicola 9 2012 Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential. Zbl 1257.35169Georgiev, Vladimir; Velichkov, Bozhidar 1 2012 Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential. Zbl 1219.35086Georgiev, Vladimir; Venkov, George 8 2011 Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko 18 2007 About resonances for Schrödinger operators with short range singular perturbation. Zbl 1142.35012Georgiev, V.; Visciglia, N. 2 2007 The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou 19 2006 Blow-up for the semilinear wave equation in the Schwarzschild metric. Zbl 1212.35314Catania, Davide; Georgiev, Vladimir 11 2006 Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. Zbl 1100.35019Georgiev, Vladimir; Tarulli, Mirko 1 2006 Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential. Zbl 1078.35098Georgiev, Vladimir; Visciglia, Nicola 9 2005 Global existence for elastic waves with memory. Zbl 1069.74025Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella 8 2005 Semilinear hyperbolic equations. 2nd ed. Zbl 1080.35118Georgiev, Vladimir 3 2005 Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087D’Ancona, Piero; Georgiev, Vladimir 2 2005 Existence and mapping properties of the wave operator for the Schrödinger equation with singular potential. Zbl 1154.35434Georgiev, Vladimir; Ivanov, Angel 1 2005 Solitary waves for Maxwell-Schrödinger equations. Zbl 1064.35180Coclite, Giuseppe Maria; Georgiev, Vladimir 25 2004 Decay for nonlinear Klein-Gordon equations. Zbl 1065.35062Georgiev, Vladimir; Lucente, Sandra 4 2004 On the continuity of the solution operator to the wave map system. Zbl 1043.35032D’Ancona, Piero; Georgiev, Vladimir 1 2004 Decay estimates for hyperbolic systems. Zbl 1053.35028Georgiev, Vladimir; Lucente, Sandra; Ziliotti, Guido 1 2004 Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103d’Ancona, Piero; Georgiev, Vladimir 1 2004 Endpoint Strichartz estimates for the wave equation in the critical case. Zbl 1077.35034Georgiev, Vladimir; Karadzhov, Georgi; Visciglia, Nicola 1 2004 Decay estimates for the wave equation with potential. Zbl 1035.35059Georgiev, Vladimir; Visciglia, Nicola 25 2003 \(L^\infty\) -\(L^2\) weighted estimate for the wave equation with potential. Zbl 1072.35111Visciglia, Nicola; Georgiev, Vladimir 1 2003 Concentration of local energy for two-dimensional wave maps. Zbl 1071.35070Georgiev, Vladimir; Ivanov, Angel 1 2003 Ill posedness for the 2-D wave equation. Zbl 1061.35157D’Ancona, Piero; Georgiev, Vladimir 1 2003 Weighted decay estimates for the wave equation. Zbl 0995.35011D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo 16 2001 Life-span of subcritical semilinear wave equation. Zbl 0994.35094Di Pomponio, S.; Georgiev, V. 6 2001 Supercritical semilinear wave equation with non-negative potential. Zbl 0994.35091Georgiev, Vladimir; Heiming, Charlotte; Kubo, Hideo 6 2001 Lower bound for the life-span of higher dimensional semilinear wave equation. Zbl 0967.35094Di Pomponio, S.; Georgiev, V. 1 2001 Semilinear hyperbolic equations. Zbl 0959.35002Georgiev, Vladimir 12 2000 Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation. Zbl 0930.35109Georgiev, Vladimir; Lucente, Sandra 11 1999 On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms. Zbl 0890.35088Georgiev, Vladimir; Milani, Albert 1 1998 Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D. 122 1997 Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo 35 1997 Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. Zbl 0869.35105Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric 48 1996 Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems. Zbl 0862.35096Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric 6 1996 Existence of global solutions to supercritical semilinear wave equations. Zbl 0859.35075Georgiev, V. 3 1996 Global existence of low regularity solutions of nonlinear wave equations. Zbl 0824.35074Georgiev, Vladimir; Schirmer, Pedro Paulo 5 1995 Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092Georgiev, Vladimir; Todorova, Grozdena 293 1994 Global solution for three-dimensional weak viscosity. Zbl 0830.35081Georgiev, V.; Todorova, G. 1 1994 Decay estimates for the Klein-Gordon equation. Zbl 0767.35068Georgiev, Vladimir 30 1992 Small amplitude solutions of the Maxwell-Dirac equations. Zbl 0754.35171Georgiev, Vladimir 32 1991 Global solution to the two-dimensional Klein-Gordon equation. Zbl 0741.35039Georgiev, V.; Popivanov, P. 8 1991 A counterpart of the Poincaré group for pseudodifferential operators. Zbl 0767.35115Covachev, V. Chr.; Georgiev, V. S. 1 1991 Global solution of the system of wave and Klein-Gordon equations. Zbl 0671.35052Georgiev, Vladimir 31 1990 Inverse scattering problem for dissipative wave equation. Zbl 0732.35106Georgiev, V.; Arnaoudov, Ya. 1 1990 Existence des solutions globales pour le système de Maxwell-Dirac. (Existence of global solutions for the Maxwell-Dirac system). Zbl 0703.35153Georgiev, Vladimir 1 1990 Uniform boundedness of the energy for time-periodic potentials. Zbl 0704.35112Georgiev, Vladimir S. 1 1990 L’existence des solutions globales pour des systèmes non linéaires avec champs massifs et sans masse. (Existence of global solutions for nonlinear systems with mass and massless fields). Zbl 0696.35114Georgiev, Vladimir 1 1989 RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094Petkov, Vesselin M.; Georgiev, Vladimir S. 1 1989 Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055Stefanov, P.; Georgiev, V. 4 1988 Disappearing solutions for dissipative hyperbolic systems of constant multiplicity. Zbl 0655.35054Georgiev, V. 3 1986 Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001Georgiev, Vladimir; Petkov, Vesselin 2 1986 Existence and completeness of the wave operators for dissipative hyperbolic systems. Zbl 0589.47010Georgiev, V. S. 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 768 Authors 31 Georgiev, Vladimir S. 20 Messaoudi, Salim A. 16 Liu, Wenjun 16 Rammaha, Mohammad A. 15 Hayashi, Nakao 14 Naumkin, Pavel Ivanovich 14 Palmieri, Alessandro 13 Kafini, Mohammad Mustafa 13 Wang, Chengbo 11 Komech, Alexander Ilich 11 Piṣkin, Erhan 10 Li, Shengjia 10 Ozawa, Tohru 10 Zhou, Yi 9 Said-Houari, Belkacem 9 Takamura, Hiroyuki 9 Visciglia, Nicola 9 Wakasa, Kyouhei 8 Ding, Yanheng 8 Jleli, Mohamed Boussairi 8 Kharibegashvili, S. S. 8 Lai, Ningan 8 Samet, Bessem 8 Toundykov, Daniel 7 Comech, Andrew 7 D’Abbicco, Marcello 7 D’Ancona, Piero 7 Esquivel-Avila, Jorge Alfredo 7 Ikeda, Masahiro 7 Shahrouzi, Mohammad 7 Tatar, Nasser-eddine 7 Wang, Mingxin 7 Ye, Yaojun 6 Bae, Jeong Ja 6 Chen, Wenhui 6 Dong, Shijie 6 Fanelli, Luca 6 Fang, Daoyuan 6 Guo, Yanqiu 6 Kirane, Mokhtar 6 Kopylova, Elena A. 6 Kubo, Hideo 6 Lasiecka, Irena 6 Liu, Gongwei 6 Lucente, Sandra 6 Metcalfe, Jason L. 6 Tarulli, Mirko 6 Wu, Shuntang 6 Yagdjian, Karen 5 Bachelot, Alain 5 D’Aprile, Teresa 5 Ebert, Marcelo Rempel 5 Goldberg, Michael Joseph 5 Hidano, Kunio 5 Liang, Fei 5 Petkov, Vesselin M. 5 Sogge, Christopher D. 5 Todorova, Grozdena Hr. 5 Vitillaro, Enzo 5 Wang, Jun 5 Wei, Juncheng 5 Xu, Runzhang 5 Yang, Yanbing 5 Zennir, Khaled 5 Zhang, Hongwei 4 Benaissa, Abbes 4 Bociu, Lorena 4 Delort, Jean-Marc 4 Dzhokhadze, Otar Mikhajlovich 4 Erdoğan, Mehmet Burak 4 Feng, Hongyinping 4 Fujiwara, Kazumasa 4 Gan, Zaihui 4 Gao, Hongjun 4 Han, Wei 4 Katayama, Soichiro 4 Kikuchi, Hiroaki 4 Levine, Howard Allen 4 Li, Gang 4 Mei, Liquan 4 Michelangeli, Alessandro 4 Ming, Sen 4 Mu, Chunlai 4 Mustafa, Muhammad Islam 4 Ohta, Masahito 4 Park, Jong Yeoul 4 Qiu, Hailong 4 Reissig, Michael 4 Sakuntasathien, Sawanya 4 Scandone, Raffaele 4 Segata, Jun-ichi 4 Selberg, Sigmund 4 Song, Haitao 4 Tang, Xianhua 4 Taniguchi, Koichi 4 Tsutaya, Kimitoshi 4 Tsutsumi, Yoshio 4 Tu, Ziheng 4 Yordanov, Borislav T. 4 Zhang, Guoqing ...and 668 more Authors all top 5 Cited in 180 Serials 80 Nonlinear Analysis. 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Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 Journal of Dynamics and Differential Equations 2 Topological Methods in Nonlinear Analysis 2 Bulletin des Sciences Mathématiques 2 Mathematical Inequalities & Applications 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of the European Mathematical Society (JEMS) 2 Lobachevskii Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. 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