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Compute Distance To:
 Author ID: georgiev.vladimir-s Published as: Georgiev, Vladimir; Georgiev, V.; Georgiev, V. S.; Georgiev, Vladimir S.; Georgiev, Vl.; Georgiev, V External Links: MGP · ORCID
 Documents Indexed: 143 Publications since 1982, including 5 Books Reviewing Activity: 36 Reviews Biographic References: 1 Publication
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Co-Authors

 28 single-authored 12 Visciglia, Nicola 9 D’Ancona, Piero 9 Ozawa, Tohru 7 Fujiwara, Kazumasa 6 Kubo, Hideo 6 Lucente, Sandra 6 Venkov, George 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 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 Grigorov, Andrij V. 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
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Serials

 16 Doklady Bolgarskoĭ Akademii Nauk 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Journal of Differential Equations 6 PLISKA. Studia Mathematica 5 Communications in Partial Differential Equations 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 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 Journal of Mathematical Physics 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
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Fields

 132 Partial differential equations (35-XX) 15 Operator theory (47-XX) 15 Quantum theory (81-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 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

74 Publications have been cited 858 times in 712 Documents Cited by Year
Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092
1994
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
1997
Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. Zbl 0869.35105
Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric
1996
Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066
Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo
1997
Small amplitude solutions of the Maxwell-Dirac equations. Zbl 0754.35171
1991
Global solution of the system of wave and Klein-Gordon equations. Zbl 0671.35052
1990
Decay estimates for the Klein-Gordon equation. Zbl 0767.35068
1992
Decay estimates for the wave equation with potential. Zbl 1035.35059
2003
Solitary waves for Maxwell-Schrödinger equations. Zbl 1064.35180
2004
Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077
Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko
2007
The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075
Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou
2006
Weighted decay estimates for the wave equation. Zbl 0995.35011
D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo
2001
Decay and scattering of small solutions of pure power NLS in $$\mathbb R$$ with $$p>3$$ and with a potential. Zbl 1293.35290
Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola
2014
Semilinear hyperbolic equations. Zbl 0959.35002
2000
Higher order fractional Leibniz rule. Zbl 1400.46027
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2018
Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension. Zbl 1392.35279
Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola
2018
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations. Zbl 1253.35158
2012
Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation. Zbl 0930.35109
1999
Blow-up for the semilinear wave equation in the Schwarzschild metric. Zbl 1212.35314
2006
Global solution to the two-dimensional Klein-Gordon equation. Zbl 0741.35039
Georgiev, V.; Popivanov, P.
1991
Global existence for elastic waves with memory. Zbl 1069.74025
Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella
2005
Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential. Zbl 1078.35098
2005
On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Zbl 1260.35204
Georgiev, Vladimir; Prinari, Francesca; Visciglia, Nicola
2012
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential. Zbl 1219.35086
2011
Supercritical semilinear wave equation with non-negative potential. Zbl 0994.35091
Georgiev, Vladimir; Heiming, Charlotte; Kubo, Hideo
2001
Life-span of subcritical semilinear wave equation. Zbl 0994.35094
Di Pomponio, S.; Georgiev, V.
2001
Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055
Stefanov, P.; Georgiev, V.
1988
Global existence of low regularity solutions of nonlinear wave equations. Zbl 0824.35074
1995
Decay for nonlinear Klein-Gordon equations. Zbl 1065.35062
2004
On fractional powers of singular perturbations of the Laplacian. Zbl 06901704
Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele
2018
On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2019
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. Zbl 1441.35036
2020
Existence and uniqueness of ground states for $$p$$-Choquard model. Zbl 1406.35318
Georgiev, Vladimir; Tarulli, Mirko; Venkov, George
2019
Existence of global solutions to supercritical semilinear wave equations. Zbl 0859.35075
Georgiev, V.
1996
Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems. Zbl 0862.35096
Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric
1996
Semilinear hyperbolic equations. 2nd ed. Zbl 1080.35118
2005
Disappearing solutions for dissipative hyperbolic systems of constant multiplicity. Zbl 0655.35054
Georgiev, V.
1986
Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2018
On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147
2018
Orbital stability and uniqueness of the ground state for the non-linear Schrödinger equation in dimension one. Zbl 1366.35167
2017
On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063
Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola
2016
Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087
2005
Existence and completeness of the wave operators for dissipative hyperbolic systems. Zbl 0589.47010
Georgiev, V. S.
1985
Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001
1986
Focusing NLKG equation with singular potential. Zbl 1394.35279
2018
On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2020
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D. Zbl 1435.35252
Georgiev, Vladimir; Kubo, Hideo; Wakasa, Kyouhei
2019
Napoleon polygons. Zbl 1322.51007
Andreescu, Titu; Georgiev, Vladimir; Mushkarov, Oleg
2015
About resonances for Schrödinger operators with short range singular perturbation. Zbl 1142.35012
Georgiev, V.; Visciglia, N.
2007
Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. Zbl 1100.35019
2006
A counterpart of the Poincaré group for pseudodifferential operators. Zbl 0767.35115
Covachev, V. Chr.; Georgiev, V. S.
1991
On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms. Zbl 0890.35088
1998
Global solution for three-dimensional weak viscosity. Zbl 0830.35081
Georgiev, V.; Todorova, G.
1994
Endpoint Strichartz estimates for the wave equation in the critical case. Zbl 1077.35034
2004
$$L^\infty$$ -$$L^2$$ weighted estimate for the wave equation with potential. Zbl 1072.35111
2003
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 0696.35114
1989
Existence des solutions globales pour le système de Maxwell-Dirac. (Existence of global solutions for the Maxwell-Dirac system). Zbl 0703.35153
1990
Uniform boundedness of the energy for time-periodic potentials. Zbl 0704.35112
1990
RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094
Petkov, Vesselin M.; Georgiev, Vladimir S.
1989
Inverse scattering problem for dissipative wave equation. Zbl 0732.35106
Georgiev, V.; Arnaoudov, Ya.
1990
On the continuity of the solution operator to the wave map system. Zbl 1043.35032
2004
Decay estimates for hyperbolic systems. Zbl 1053.35028
Georgiev, Vladimir; Lucente, Sandra; Ziliotti, Guido
2004
On fractional Leibniz rule for Dirichlet Laplacian in exterior domain. Zbl 1404.35219
2019
Zero resonances for localised potentials. Zbl 1394.81116
Georgiev, V.; Wirth, J.
2018
Note for global existence of semilinear heat equation in weighted $$L^\infty$$ space. Zbl 1449.35260
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2019
Correction to: “Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension”. Zbl 1439.35437
Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola
2020
Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282
Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2019
Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential. Zbl 1257.35169
2012
Sectorial Hamiltonians without zero resonance in one dimension. Zbl 1357.47046
2016
Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103
2004
Concentration of local energy for two-dimensional wave maps. Zbl 1071.35070
2003
Ill posedness for the 2-D wave equation. Zbl 1061.35157
2003
Existence and mapping properties of the wave operator for the Schrödinger equation with singular potential. Zbl 1154.35434
2005
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131
2019
Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity. Zbl 1441.35036
2020
On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. Zbl 1439.35415
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2020
Correction to: “Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension”. Zbl 1439.35437
Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola
2020
On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. Zbl 1427.35224
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola
2019
Existence and uniqueness of ground states for $$p$$-Choquard model. Zbl 1406.35318
Georgiev, Vladimir; Tarulli, Mirko; Venkov, George
2019
Critical exponent for nonlinear damped wave equations with non-negative potential in 3D. Zbl 1435.35252
Georgiev, Vladimir; Kubo, Hideo; Wakasa, Kyouhei
2019
On fractional Leibniz rule for Dirichlet Laplacian in exterior domain. Zbl 1404.35219
2019
Note for global existence of semilinear heat equation in weighted $$L^\infty$$ space. Zbl 1449.35260
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2019
Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. Zbl 1412.35282
Forcella, Luigi; Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2019
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131
2019
Higher order fractional Leibniz rule. Zbl 1400.46027
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2018
Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension. Zbl 1392.35279
Bellazzini, Jacopo; Georgiev, Vladimir; Visciglia, Nicola
2018
On fractional powers of singular perturbations of the Laplacian. Zbl 06901704
Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele
2018
Blow-up for self-interacting fractional Ginzburg-Landau equation. Zbl 1392.35302
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru
2018
On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147
2018
Focusing NLKG equation with singular potential. Zbl 1394.35279
2018
Zero resonances for localised potentials. Zbl 1394.81116
Georgiev, V.; Wirth, J.
2018
Orbital stability and uniqueness of the ground state for the non-linear Schrödinger equation in dimension one. Zbl 1366.35167
2017
On the regularity of the flow map associated with the 1D cubic periodic half-wave equation. Zbl 1363.35063
Georgiev, Vladimir; Tzvetkov, Nikolay; Visciglia, Nicola
2016
Sectorial Hamiltonians without zero resonance in one dimension. Zbl 1357.47046
2016
Napoleon polygons. Zbl 1322.51007
Andreescu, Titu; Georgiev, Vladimir; Mushkarov, Oleg
2015
Decay and scattering of small solutions of pure power NLS in $$\mathbb R$$ with $$p>3$$ and with a potential. Zbl 1293.35290
Cuccagna, Scipio; Georgiev, Vladimir; Visciglia, Nicola
2014
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations. Zbl 1253.35158
2012
On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Zbl 1260.35204
Georgiev, Vladimir; Prinari, Francesca; Visciglia, Nicola
2012
Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential. Zbl 1257.35169
2012
Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential. Zbl 1219.35086
2011
Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077
Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko
2007
About resonances for Schrödinger operators with short range singular perturbation. Zbl 1142.35012
Georgiev, V.; Visciglia, N.
2007
The lifespan of solutions to nonlinear systems of a high-dimensional wave equation. Zbl 1094.35075
Georgiev, Vladimir; Takamura, Hiroyuki; Yi, Zhou
2006
Blow-up for the semilinear wave equation in the Schwarzschild metric. Zbl 1212.35314
2006
Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. Zbl 1100.35019
2006
Global existence for elastic waves with memory. Zbl 1069.74025
Georgiev, Vladimir; Rubino, Bruno; Sampalmieri, Rosella
2005
Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential. Zbl 1078.35098
2005
Semilinear hyperbolic equations. 2nd ed. Zbl 1080.35118
2005
Wave maps and ill-posedness of their Cauchy problem. Zbl 1130.35087
2005
Existence and mapping properties of the wave operator for the Schrödinger equation with singular potential. Zbl 1154.35434
2005
Solitary waves for Maxwell-Schrödinger equations. Zbl 1064.35180
2004
Decay for nonlinear Klein-Gordon equations. Zbl 1065.35062
2004
Endpoint Strichartz estimates for the wave equation in the critical case. Zbl 1077.35034
2004
On the continuity of the solution operator to the wave map system. Zbl 1043.35032
2004
Decay estimates for hyperbolic systems. Zbl 1053.35028
Georgiev, Vladimir; Lucente, Sandra; Ziliotti, Guido
2004
Low regularity solutions for the wave map equation into the 2-D sphere. Zbl 1063.35103
2004
Decay estimates for the wave equation with potential. Zbl 1035.35059
2003
$$L^\infty$$ -$$L^2$$ weighted estimate for the wave equation with potential. Zbl 1072.35111
2003
Concentration of local energy for two-dimensional wave maps. Zbl 1071.35070
2003
Ill posedness for the 2-D wave equation. Zbl 1061.35157
2003
Weighted decay estimates for the wave equation. Zbl 0995.35011
D&rsquo;Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo
2001
Supercritical semilinear wave equation with non-negative potential. Zbl 0994.35091
Georgiev, Vladimir; Heiming, Charlotte; Kubo, Hideo
2001
Life-span of subcritical semilinear wave equation. Zbl 0994.35094
Di Pomponio, S.; Georgiev, V.
2001
Semilinear hyperbolic equations. Zbl 0959.35002
2000
Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation. Zbl 0930.35109
1999
On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms. Zbl 0890.35088
1998
Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075
1997
Global existence of the solutions and formation of singularities for a class of hyperbolic systems. Zbl 0893.35066
Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo
1997
Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. Zbl 0869.35105
Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric
1996
Existence of global solutions to supercritical semilinear wave equations. Zbl 0859.35075
Georgiev, V.
1996
Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems. Zbl 0862.35096
Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric
1996
Global existence of low regularity solutions of nonlinear wave equations. Zbl 0824.35074
1995
Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092
1994
Global solution for three-dimensional weak viscosity. Zbl 0830.35081
Georgiev, V.; Todorova, G.
1994
Decay estimates for the Klein-Gordon equation. Zbl 0767.35068
1992
Small amplitude solutions of the Maxwell-Dirac equations. Zbl 0754.35171
1991
Global solution to the two-dimensional Klein-Gordon equation. Zbl 0741.35039
Georgiev, V.; Popivanov, P.
1991
A counterpart of the Poincaré group for pseudodifferential operators. Zbl 0767.35115
Covachev, V. Chr.; Georgiev, V. S.
1991
Global solution of the system of wave and Klein-Gordon equations. Zbl 0671.35052
1990
Existence des solutions globales pour le système de Maxwell-Dirac. (Existence of global solutions for the Maxwell-Dirac system). Zbl 0703.35153
1990
Uniform boundedness of the energy for time-periodic potentials. Zbl 0704.35112
1990
Inverse scattering problem for dissipative wave equation. Zbl 0732.35106
Georgiev, V.; Arnaoudov, Ya.
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 0696.35114
1989
RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094
Petkov, Vesselin M.; Georgiev, Vladimir S.
1989
Existence of the scattering operator for dissipative hyperbolic systems with variable multiplicities. Zbl 0676.35055
Stefanov, P.; Georgiev, V.
1988
Disappearing solutions for dissipative hyperbolic systems of constant multiplicity. Zbl 0655.35054
Georgiev, V.
1986
Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001
1986
Existence and completeness of the wave operators for dissipative hyperbolic systems. Zbl 0589.47010
Georgiev, V. S.
1985
all top 5

Cited by 688 Authors

 29 Georgiev, Vladimir S. 19 Messaoudi, Salim A. 16 Liu, Wenjun 16 Rammaha, Mohammad A. 15 Hayashi, Nakao 14 Naumkin, Pavel Ivanovich 11 Palmieri, Alessandro 11 Wang, Chengbo 10 Kafini, Mohammad Mustafa 10 Li, Shengjia 10 Ozawa, Tohru 10 Zhou, Yi 9 Piṣkin, Erhan 9 Said-Houari, Belkacem 9 Takamura, Hiroyuki 9 Visciglia, Nicola 8 Kharibegashvili, S. S. 8 Toundykov, Daniel 8 Wakasa, Kyouhei 7 Comech, Andrew 7 Ding, Yanheng 7 Esquivel-Avila, Jorge Alfredo 7 Jleli, Mohamed 7 Lai, Ning-An 7 Samet, Bessem 7 Tatar, Nasser-eddine 7 Wang, Mingxin 7 Ye, Yaojun 6 Bae, Jeong Ja 6 D’Abbicco, Marcello 6 D’Ancona, Piero 6 Fanelli, Luca 6 Guo, Yanqiu 6 Kirane, Mokhtar 6 Kubo, Hideo 6 Lasiecka, Irena 6 Liu, Gongwei 6 Metcalfe, Jason L. 6 Shahrouzi, Mohammad 6 Tarulli, Mirko 6 Venkov, George 6 Wu, Shuntang 5 Bachelot, Alain 5 D’Aprile, Teresa 5 Fang, Daoyuan 5 Goldberg, Michael Joseph 5 Hidano, Kunio 5 Ikeda, Masahiro 5 Komech, Alexander Ilich 5 Liang, Fei 5 Lucente, Sandra 5 Sogge, Christopher D. 5 Todorova, Grozdena Hr. 5 Wei, Juncheng 5 Xu, Runzhang 5 Yagdjian, Karen 5 Zennir, Khaled 5 Zhang, Hongwei 4 Benaissa, Abbes 4 Bociu, Lorena 4 Chen, Wenhui 4 Delort, Jean-Marc 4 Dzhokhadze, Otar Mikhajlovich 4 Erdoğan, Mehmet Burak 4 Feng, Hongyinping 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 Mu, Chunlai 4 Mustafa, Muhammad Islam 4 Ohta, Masahito 4 Park, Jong Yeoul 4 Petkov, Vesselin M. 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 Vitillaro, Enzo 4 Wang, Jun 4 Yang, Yanbing 4 Yordanov, Borislav T. 3 Aliev, Akbar B. 3 Azzollini, Antonio 3 Boussaid, Nabile 3 Cavalcanti, Marcelo Moreira 3 Domingos Cavalcanti, Valéria Neves 3 Dong, Shijie ...and 588 more Authors
all top 5

Cited in 167 Serials

 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Journal of Differential Equations 59 Journal of Mathematical Analysis and Applications 25 Communications in Partial Differential Equations 23 Journal of Functional Analysis 17 Journal of Mathematical Physics 16 Applicable Analysis 14 Calculus of Variations and Partial Differential Equations 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Applied Mathematics Letters 13 Communications on Pure and Applied Analysis 11 Communications in Mathematical Physics 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Discrete and Continuous Dynamical Systems 11 Nonlinear Analysis. Real World Applications 10 Applied Mathematics and Computation 10 Transactions of the American Mathematical Society 9 Mathematical Methods in the Applied Sciences 9 NoDEA. Nonlinear Differential Equations and Applications 8 Computers & Mathematics with Applications 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Proceedings of the American Mathematical Society 6 Abstract and Applied Analysis 6 Differential Equations 6 Boundary Value Problems 5 Mathematische Annalen 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 SIAM Journal on Mathematical Analysis 5 Acta Mathematica Sinica. English Series 5 Journal of Evolution Equations 5 Journal of Hyperbolic Differential Equations 5 Mediterranean Journal of Mathematics 4 Applied Mathematics and Optimization 4 Mathematische Nachrichten 4 Zeitschrift für Analysis und ihre Anwendungen 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 The Journal of Fourier Analysis and Applications 4 Journal of Inequalities and Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Archive for Rational Mechanics and Analysis 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Zeitschrift 3 Quarterly of Applied Mathematics 3 Applied Numerical Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 3 Annales Henri Poincaré 3 Journal of Function Spaces 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Russian Mathematical Surveys 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Mathematics and Computers in Simulation 2 Memoirs of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Forum Mathematicum 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Bulletin des Sciences Mathématiques 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of the European Mathematical Society (JEMS) 2 Lobachevskii Journal of Mathematics 2 Theoretical and Applied Mechanics 2 Complex Variables and Elliptic Equations 2 Analysis & PDE 2 Arabian Journal of Mathematics 2 Evolution Equations and Control Theory 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Nonautonomous Dynamical Systems 1 Modern Physics Letters B 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of the Korean Mathematical Society ...and 67 more Serials
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Cited in 34 Fields

 690 Partial differential equations (35-XX) 78 Quantum theory (81-XX) 53 Mechanics of deformable solids (74-XX) 32 Operator theory (47-XX) 30 Global analysis, analysis on manifolds (58-XX) 22 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 19 Relativity and gravitational theory (83-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Integral equations (45-XX) 16 Systems theory; control (93-XX) 14 Optics, electromagnetic theory (78-XX) 10 Functional analysis (46-XX) 8 Ordinary differential equations (34-XX) 7 Abstract harmonic analysis (43-XX) 5 Real functions (26-XX) 4 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)