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## Kapitanski, Lev

Compute Distance To:
 Author ID: kapitanski.lev Published as: Kapitanski, Lev; Kapitanski, L.
 Documents Indexed: 28 Publications since 1994
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#### Co-Authors

 5 single-authored 8 Auckly, David R. 4 Rodnianski, Igor 3 Gonzalez, Sanja Živanović 2 Cardona, Jorge E. 2 Safarov, Yuri G. 1 Andreev, Fedor V. 1 Apushkinskaya, Darya E. 1 Beier, John C. 1 Cantrell, Robert Stephen 1 Cosner, Chris 1 Daskalopoulos, Panagiota 1 Dumbaugh, Della 1 Gosavi, Shekhar 1 Impoinvil, D. 1 Laptev, Ari 1 Nazarov, Alexander I. 1 Potts, Matthew D. 1 Reshetikhin, Nikolai Yu. 1 Ruan, Shigui 1 Speight, James Martin 1 Troyo, A. 1 Vershik, Anatoliĭ Moiseevich 1 Yajima, Kenji 1 Živanović, Sanja
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#### Serials

 3 Topological Methods in Nonlinear Analysis 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Communications in Partial Differential Equations 2 Mathematical Research Letters 1 Nonlinearity 1 Automatica 1 SIAM Journal on Control and Optimization 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Journal of Dynamics and Differential Equations 1 St. Petersburg Mathematical Journal 1 Communications in Contemporary Mathematics 1 Journal of Spectral Theory 1 Journal of Theoretical Biology
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#### Fields

 11 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 291 times in 209 Documents Cited by Year
Global and unique weak solutions of nonlinear wave equations. Zbl 0841.35067
Kapitanski, Lev
1994
The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386
Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S.
2009
Shape and Morse theory of attractors. Zbl 1026.37007
Kapitanski, Lev; Rodnianski, Igor
2000
Weak and yet weaker solutions of semilinear wave equations. Zbl 0831.35109
Kapitanski, Lev
1994
Control of nonlinear underactuated systems. Zbl 1022.70010
Auckly, David; Kapitanski, Lev; White, Warren
2000
On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035
Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji
1997
Analysis of $$S^2$$-valued maps and Faddeev’s model. Zbl 1082.58017
Auckly, Dave; Kapitanski, Lev
2005
Holonomy and Skyrme’s model. Zbl 1046.58004
Auckly, Dave; Kapitanski, Lev
2003
Dispersive smoothing for Schrödinger equations. Zbl 0860.35016
Kapitanski, Lev; Safarov, Yuri
1996
On the $$\lambda$$-equations for matching control laws. Zbl 1036.93031
Auckly, David; Kapitanski, Lev
2002
Minimal compact global attractor for a damped semilinear wave equation. Zbl 0829.35014
Kapitanski, Lev
1995
Matching, linear systems, and the ball and beam. Zbl 1018.93014
Andreev, F.; Auckly, D.; Gosavi, Shekhar; Kapitanski, L.; Kelkar, A.; White, W.
2002
Regulated smoothing for Schrödinger evolution. Zbl 0859.35146
Kapitanski, Lev; Rodnianski, Igor
1996
Does a quantum particle know the time? Zbl 1071.81516
Kapitanski, Lev; Rodnianski, Igor
1999
The Pontrjagin-Hopf invariants for Sobolev maps. Zbl 1198.58009
Auckly, Dave; Kapitanski, Lev
2010
Geometry and analysis in nonlinear sigma models. Zbl 1118.58008
Auckly, D.; Kapitanski, L.; Speight, J. M.
2007
Dynamics with choice. Zbl 1153.93018
Kapitanski, Lev; Živanović, Sanja
2009
On Skyrme’s model. Zbl 1255.81230
Kapitanski, Lev
2002
Attractors in hyperspace. Zbl 1362.37065
Kapitanski, Lev; Gonzalez, Sanja Živanović
2014
Variable time step dynamics with choice. Zbl 1335.34030
Kapitanski, Lev; Gonzalez, Sanja Živanović
2014
A parametrix for the nonstationary Schrödinger equation. Zbl 0922.35144
Kapitanski, L.; Safarov, Yu.
1999
Continuous limit in dynamics with choice. Zbl 1375.37039
Kapitanski, Lev; Živanović Gonzalez, Sanja
2016
On continuous and discrete Hardy inequalities. Zbl 1368.35010
Kapitanski, Lev; Laptev, Ari
2016
Mathematical problems in the control of underactuated systems. Zbl 0982.93059
Auckly, David; Kapitanski, Lev
2001
Continuous limit in dynamics with choice. Zbl 1375.37039
Kapitanski, Lev; Živanović Gonzalez, Sanja
2016
On continuous and discrete Hardy inequalities. Zbl 1368.35010
Kapitanski, Lev; Laptev, Ari
2016
Attractors in hyperspace. Zbl 1362.37065
Kapitanski, Lev; Gonzalez, Sanja Živanović
2014
Variable time step dynamics with choice. Zbl 1335.34030
Kapitanski, Lev; Gonzalez, Sanja Živanović
2014
The Pontrjagin-Hopf invariants for Sobolev maps. Zbl 1198.58009
Auckly, Dave; Kapitanski, Lev
2010
The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386
Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S.
2009
Dynamics with choice. Zbl 1153.93018
Kapitanski, Lev; Živanović, Sanja
2009
Geometry and analysis in nonlinear sigma models. Zbl 1118.58008
Auckly, D.; Kapitanski, L.; Speight, J. M.
2007
Analysis of $$S^2$$-valued maps and Faddeev’s model. Zbl 1082.58017
Auckly, Dave; Kapitanski, Lev
2005
Holonomy and Skyrme’s model. Zbl 1046.58004
Auckly, Dave; Kapitanski, Lev
2003
On the $$\lambda$$-equations for matching control laws. Zbl 1036.93031
Auckly, David; Kapitanski, Lev
2002
Matching, linear systems, and the ball and beam. Zbl 1018.93014
Andreev, F.; Auckly, D.; Gosavi, Shekhar; Kapitanski, L.; Kelkar, A.; White, W.
2002
On Skyrme’s model. Zbl 1255.81230
Kapitanski, Lev
2002
Mathematical problems in the control of underactuated systems. Zbl 0982.93059
Auckly, David; Kapitanski, Lev
2001
Shape and Morse theory of attractors. Zbl 1026.37007
Kapitanski, Lev; Rodnianski, Igor
2000
Control of nonlinear underactuated systems. Zbl 1022.70010
Auckly, David; Kapitanski, Lev; White, Warren
2000
Does a quantum particle know the time? Zbl 1071.81516
Kapitanski, Lev; Rodnianski, Igor
1999
A parametrix for the nonstationary Schrödinger equation. Zbl 0922.35144
Kapitanski, L.; Safarov, Yu.
1999
On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035
Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji
1997
Dispersive smoothing for Schrödinger equations. Zbl 0860.35016
Kapitanski, Lev; Safarov, Yuri
1996
Regulated smoothing for Schrödinger evolution. Zbl 0859.35146
Kapitanski, Lev; Rodnianski, Igor
1996
Minimal compact global attractor for a damped semilinear wave equation. Zbl 0829.35014
Kapitanski, Lev
1995
Global and unique weak solutions of nonlinear wave equations. Zbl 0841.35067
Kapitanski, Lev
1994
Weak and yet weaker solutions of semilinear wave equations. Zbl 0831.35109
Kapitanski, Lev
1994
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#### Cited by 265 Authors

 13 Sanjurjo, José M. R. 9 Barge Yáñez, Héctor 9 Kapitanski, Lev 8 Ortega, Romeo S. 7 Danca, Marius-Florin 5 Auckly, David R. 5 Bloch, Anthony M. 5 Duyckaerts, Thomas 5 Giraldo, Antonio 5 Kenig, Carlos Eduardo 5 Merle, Frank 5 Nakamura, Shu 5 Sánchez-Gabites, Jaime J. 5 Shen, Ruipeng 5 Yajima, Kenji 4 Carles, Rémi 4 Li, Desheng 4 Ruiz del Portal, Francisco Romero 4 Wunsch, Jared 4 Zelik, Sergey V. 3 Doi, Shin-ichi 3 Ibrahim, Slim 3 Isobe, Takeshi 3 Kholodenko, Arkady L. 3 Leonard, Naomi Ehrich 3 Marsden, Jerrold Eldon 3 Miao, Changxing 3 Moron, Manuel Alonso 3 Planchon, Fabrice 3 Speight, James Martin 3 Yin, Huicheng 3 Zhang, Junyong 2 Aguilar-Ibáñez, Carlos Fernando 2 Astolfi, Alessandro 2 Chang, Dong Eui 2 D’Ancona, Piero 2 DeTurck, Dennis M. 2 Duan, Jinqiao 2 Gan, Zaihui 2 García-Canseco, Eloísa 2 Georgiev, Vladimir S. 2 Gluck, Herman 2 Gonzalez, Sanja Živanović 2 Grillo, Sergio Daniel 2 Kalantarov, Varga K. 2 Kian, Yavar 2 Komendarczyk, Rafal 2 Li, Dong 2 Li, Yongsheng 2 Majdoub, Mohamed 2 Martinez, André 2 Masmoudi, Nader 2 Mei, Xinyu 2 Melvin, Paul M. 2 Nakanishi, Kenji 2 Nicola, Fabio 2 Nitta, Muneto 2 Pocovnicu, Oana 2 Robbiano, Luc 2 Salomone, Leandro M. 2 Shekutkovskiĭ, Nikita 2 Shonkwiler, Clayton 2 Shoptrajanov, Martin 2 Sordoni, Vania 2 Staffilani, Gigliola 2 Sun, Chunyou 2 Tao, Terence 2 Vela-Vick, David Shea 2 Visciglia, Nicola 2 Wang, Baoxiang 2 Woolsey, Craig A. 2 Xu, Ning 2 Zhang, Jian 2 Zhang, Xiaoyi 2 Zheng, Jiqiang 2 Zuccalli, Marcela 2 Zuily, Claude 1 Acosta, José Ángel 1 Andreev, Fedor V. 1 Anker, Jean-Philippe 1 Antonelli, Paolo 1 Beceanu, Marius 1 Ben Warrad, Seifeddine 1 Benedetto, John J. 1 Bethuel, Fabrice 1 Blankenstein, Guido 1 Bony, Jean-François 1 Boubaker, Olfa 1 Bournaveas, Nikolaos 1 Bulut, Aynur 1 Burq, Nicolas 1 Buslaev, Vladimir Savel’evich 1 Buslaeva, M. V. 1 Cacciafesta, Federico 1 Cansever, Galip 1 Cao, Yang 1 Cardona, Jorge E. 1 Cencelj, Matija 1 Chen, Gong 1 Chen, Guanrong ...and 165 more Authors
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#### Cited in 94 Serials

 14 Journal of Differential Equations 11 Communications in Mathematical Physics 10 Communications in Partial Differential Equations 8 International Journal of Control 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Advances in Mathematics 6 Transactions of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Duke Mathematical Journal 5 Discrete and Continuous Dynamical Systems 5 European Journal of Control 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Topology and its Applications 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 3 Communications on Pure and Applied Mathematics 3 Reviews in Mathematical Physics 3 Applied Mathematics and Computation 3 Automatica 3 Mathematische Zeitschrift 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 International Journal of Geometric Methods in Modern Physics 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Systems & Control Letters 2 Physica D 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Dynamics and Differential Equations 2 International Journal of Robust and Nonlinear Control 2 Communications on Pure and Applied Analysis 2 Nelineĭnaya Dinamika 1 Archive for Rational Mechanics and Analysis 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. B 1 Acta Mathematica 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Nonlinear Science 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry & Topology 1 Fractional Calculus & Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Algebraic & Geometric Topology 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Analysis in Theory and Applications 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Geometric Mechanics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Arabian Journal for Science and Engineering 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications
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#### Cited in 33 Fields

 117 Partial differential equations (35-XX) 45 Dynamical systems and ergodic theory (37-XX) 30 Systems theory; control (93-XX) 27 Quantum theory (81-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Mechanics of particles and systems (70-XX) 12 Ordinary differential equations (34-XX) 12 General topology (54-XX) 10 Algebraic topology (55-XX) 8 Operator theory (47-XX) 8 Manifolds and cell complexes (57-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Measure and integration (28-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)