Edit Profile (opens in new tab) Kapitanski, Lev Co-Author Distance Author ID: kapitanski.lev Published as: Kapitanski, Lev; Kapitanski, L. Documents Indexed: 30 Publications since 1994 Co-Authors: 18 Co-Authors with 24 Joint Publications 623 Co-Co-Authors all top 5 Co-Authors 4 single-authored 9 Auckly, David R. 4 Rodnianski, Igor 3 Gonzalez, Sanja Živanović 2 Cardona, Jorge E. 2 Laptev, Ari 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 Guzu, Dorian 1 Impoinvil, D. 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 all top 5 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 Archive for Rational Mechanics and Analysis 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 1 Pure and Applied Functional Analysis all top 5 Fields 13 Partial differential equations (35-XX) 7 Quantum theory (81-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-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) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Real functions (26-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 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 304 times in 258 Documents Cited by ▼ Year ▼ The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S. 68 2009 Global and unique weak solutions of nonlinear wave equations. Zbl 0841.35067Kapitanski, Lev 49 1994 Shape and Morse theory of attractors. Zbl 1026.37007Kapitanski, Lev; Rodnianski, Igor 46 2000 Weak and yet weaker solutions of semilinear wave equations. Zbl 0831.35109Kapitanski, Lev 31 1994 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 25 1997 Control of nonlinear underactuated systems. Zbl 1022.70010Auckly, David; Kapitanski, Lev; White, Warren 25 2000 Minimal compact global attractor for a damped semilinear wave equation. Zbl 0829.35014Kapitanski, Lev 17 1995 Analysis of \(S^2\)-valued maps and Faddeev’s model. Zbl 1082.58017Auckly, Dave; Kapitanski, Lev 16 2005 Dispersive smoothing for Schrödinger equations. Zbl 0860.35016Kapitanski, Lev; Safarov, Yuri 13 1996 Holonomy and Skyrme’s model. Zbl 1046.58004Auckly, Dave; Kapitanski, Lev 13 2003 On the \(\lambda\)-equations for matching control laws. Zbl 1036.93031Auckly, David; Kapitanski, Lev 13 2002 Does a quantum particle know the time? Zbl 1071.81516Kapitanski, Lev; Rodnianski, Igor 12 1999 Matching, linear systems, and the ball and beam. Zbl 1018.93014Andreev, F.; Auckly, D.; Gosavi, Shekhar; Kapitanski, L.; Kelkar, A.; White, W. 8 2002 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146Kapitanski, Lev; Rodnianski, Igor 7 1996 Semiflow selection and Markov selection theorems. Zbl 1477.34086Cardona, Jorge E.; Kapitanski, Lev 6 2020 Dynamics with choice. Zbl 1153.93018Kapitanski, Lev; Živanović, Sanja 4 2009 On continuous and discrete Hardy inequalities. Zbl 1368.35010Kapitanski, Lev; Laptev, Ari 4 2016 Geometry and analysis in nonlinear sigma models. Zbl 1118.58008Auckly, D.; Kapitanski, L.; Speight, J. M. 3 2007 The Pontrjagin-Hopf invariants for Sobolev maps. Zbl 1198.58009Auckly, Dave; Kapitanski, Lev 3 2010 On Skyrme’s model. Zbl 1255.81230Kapitanski, Lev 3 2002 Measurable process selection theorem and non-autonomous inclusions. Zbl 07285522Cardona, Jorge E.; Kapitanski, Lev 2 2020 Attractors in hyperspace. Zbl 1362.37065Kapitanski, Lev; Gonzalez, Sanja Živanović 2 2014 Variable time step dynamics with choice. Zbl 1335.34030Kapitanski, Lev; Gonzalez, Sanja Živanović 1 2014 Continuous limit in dynamics with choice. Zbl 1375.37039Kapitanski, Lev; Živanović Gonzalez, Sanja 1 2016 The ties that bind. Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Zbl 1454.01033Dumbaugh, Della; Daskalopoulos, Panagiota; Vershik, Anatoly; Kapitanski, Lev; Reshetikhin, Nicolai; Apushkinskaya, Darya; Nazarov, Alexander 1 2020 A parametrix for the nonstationary Schrödinger equation. Zbl 0922.35144Kapitanski, L.; Safarov, Yu. 1 1999 Mathematical problems in the control of underactuated systems. Zbl 0982.93059Auckly, David; Kapitanski, Lev 1 2001 Semiflow selection and Markov selection theorems. Zbl 1477.34086Cardona, Jorge E.; Kapitanski, Lev 6 2020 Measurable process selection theorem and non-autonomous inclusions. Zbl 07285522Cardona, Jorge E.; Kapitanski, Lev 2 2020 The ties that bind. Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Zbl 1454.01033Dumbaugh, Della; Daskalopoulos, Panagiota; Vershik, Anatoly; Kapitanski, Lev; Reshetikhin, Nicolai; Apushkinskaya, Darya; Nazarov, Alexander 1 2020 On continuous and discrete Hardy inequalities. Zbl 1368.35010Kapitanski, Lev; Laptev, Ari 4 2016 Continuous limit in dynamics with choice. Zbl 1375.37039Kapitanski, Lev; Živanović Gonzalez, Sanja 1 2016 Attractors in hyperspace. Zbl 1362.37065Kapitanski, Lev; Gonzalez, Sanja Živanović 2 2014 Variable time step dynamics with choice. Zbl 1335.34030Kapitanski, Lev; Gonzalez, Sanja Živanović 1 2014 The Pontrjagin-Hopf invariants for Sobolev maps. Zbl 1198.58009Auckly, Dave; Kapitanski, Lev 3 2010 The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S. 68 2009 Dynamics with choice. Zbl 1153.93018Kapitanski, Lev; Živanović, Sanja 4 2009 Geometry and analysis in nonlinear sigma models. Zbl 1118.58008Auckly, D.; Kapitanski, L.; Speight, J. M. 3 2007 Analysis of \(S^2\)-valued maps and Faddeev’s model. Zbl 1082.58017Auckly, Dave; Kapitanski, Lev 16 2005 Holonomy and Skyrme’s model. Zbl 1046.58004Auckly, Dave; Kapitanski, Lev 13 2003 On the \(\lambda\)-equations for matching control laws. Zbl 1036.93031Auckly, David; Kapitanski, Lev 13 2002 Matching, linear systems, and the ball and beam. Zbl 1018.93014Andreev, F.; Auckly, D.; Gosavi, Shekhar; Kapitanski, L.; Kelkar, A.; White, W. 8 2002 On Skyrme’s model. Zbl 1255.81230Kapitanski, Lev 3 2002 Mathematical problems in the control of underactuated systems. Zbl 0982.93059Auckly, David; Kapitanski, Lev 1 2001 Shape and Morse theory of attractors. Zbl 1026.37007Kapitanski, Lev; Rodnianski, Igor 46 2000 Control of nonlinear underactuated systems. Zbl 1022.70010Auckly, David; Kapitanski, Lev; White, Warren 25 2000 Does a quantum particle know the time? Zbl 1071.81516Kapitanski, Lev; Rodnianski, Igor 12 1999 A parametrix for the nonstationary Schrödinger equation. Zbl 0922.35144Kapitanski, L.; Safarov, Yu. 1 1999 On the fundamental solution of a perturbed harmonic oscillator. Zbl 0892.35035Kapitanski, Lev; Rodnianski, Igor; Yajima, Kenji 25 1997 Dispersive smoothing for Schrödinger equations. Zbl 0860.35016Kapitanski, Lev; Safarov, Yuri 13 1996 Regulated smoothing for Schrödinger evolution. Zbl 0859.35146Kapitanski, Lev; Rodnianski, Igor 7 1996 Minimal compact global attractor for a damped semilinear wave equation. Zbl 0829.35014Kapitanski, Lev 17 1995 Global and unique weak solutions of nonlinear wave equations. Zbl 0841.35067Kapitanski, Lev 49 1994 Weak and yet weaker solutions of semilinear wave equations. Zbl 0831.35109Kapitanski, Lev 31 1994 all cited Publications top 5 cited Publications all top 5 Cited by 316 Authors 15 Sanjurjo, José M. R. 10 Barge Yáñez, Héctor 9 Kapitanski, Lev 9 Ortega, Romeo S. 7 Danca, Marius-Florin 6 Kenig, Carlos Eduardo 6 Li, Desheng 6 Shen, Ruipeng 6 Shoptrajanov, Martin 5 Auckly, David R. 5 Bloch, Anthony Michael 5 Duyckaerts, Thomas 5 Giraldo, Antonio 5 Merle, Frank 5 Nakamura, Shu 5 Sánchez-Gabites, Jaime J. 5 Yajima, Kenji 4 Carles, Rémi 4 Miao, Changxing 4 Ruiz del Portal, Francisco Romero 4 Shekutkovskiĭ, Nikita 4 Wang, Bixiang 4 Wunsch, Jared 4 Zelik, Sergey V. 3 Astolfi, Alessandro 3 D’Ancona, Piero 3 Doi, Shin-ichi 3 Duan, Jinqiao 3 Eceizabarrena, Daniel 3 Hofmanová, Martina 3 Ibrahim, Slim 3 Isobe, Takeshi 3 Kholodenko, Arkady L. 3 Leonard, Naomi Ehrich 3 Marsden, Jerrold Eldon 3 Moron, Manuel Alonso 3 Nicola, Fabio 3 Planchon, Fabrice 3 Robbiano, Luc 3 Trapasso, Salvatore Ivan 3 Wang, Baoxiang 3 Wang, Jintao 3 Yin, Huicheng 3 Zhang, Junyong 3 Zheng, Jiqiang 2 Acosta, José Ángel 2 Aguilar-Ibáñez, Carlos Fernando 2 Brault, Antoine 2 Breit, Dominic 2 Cardona, Jorge E. 2 Chang, Dong Eui 2 DeTurck, Dennis M. 2 Feireisl, Eduard 2 Gan, Zaihui 2 García-Canseco, Eloísa 2 Georgiev, Vladimir S. 2 Gluck, Herman 2 Gonzalez, Sanja Živanović 2 Grillo, Sergio Daniel 2 Gupta, Shubham 2 Inui, Takahisa 2 Kalantarov, Varga K. 2 Kian, Yavar 2 Koh, Youngwoo 2 Komendarczyk, Rafal 2 Lejay, Antoine 2 Li, Chunqiu 2 Li, Dong 2 Li, Yongsheng 2 Liu, Zhiming 2 Majdoub, Mohamed 2 Martinez, André 2 Masmoudi, Nader 2 Mei, Xinyu 2 Melvin, Paul M. 2 Murphy, Jason 2 Nakanishi, Kenji 2 Nitta, Muneto 2 Pocovnicu, Oana 2 Salomone, Leandro M. 2 Seo, Ihyeok 2 Shonkwiler, Clayton 2 Sordoni, Vania 2 Speight, James Martin 2 Staffilani, Gigliola 2 Sun, Chunyou 2 Tao, Terence 2 Vela-Vick, David Shea 2 Visciglia, Nicola 2 Wang, Ming 2 Woolsey, Craig A. 2 Xu, Ning 2 Zhang, Hongwei 2 Zhang, Jian 2 Zhang, Xiaoyi 2 Zuccalli, Marcela 2 Zuily, Claude 1 Andreev, Fedor V. 1 Anker, Jean-Philippe 1 Antonelli, Paolo ...and 216 more Authors all top 5 Cited in 110 Serials 17 Journal of Differential Equations 12 Communications in Mathematical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Communications in Partial Differential Equations 8 International Journal of Control 7 Journal of Mathematical Analysis and Applications 7 Transactions of the American Mathematical Society 6 Advances in Mathematics 6 Discrete and Continuous Dynamical Systems 5 Duke Mathematical Journal 5 Journal of Functional Analysis 5 European Journal of Control 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 Physica D 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Geometric Methods in Modern Physics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Physics 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 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 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Probability 2 The Journal of Fourier Analysis and Applications 2 Communications on Pure and Applied Analysis 2 Russian Journal of Nonlinear Dynamics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. B 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Annals of Global Analysis and Geometry 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Glasnik Matematički. Serija III 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Nonlinear Science 1 Potential Analysis 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations 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 Regular and Chaotic Dynamics 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 La Gaceta de la Real Sociedad Matemática Española 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Algebraic & Geometric Topology 1 Dynamical Systems 1 Portugaliae Mathematica. Nova Série 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 Oberwolfach Reports 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 Journal of Pseudo-Differential Operators and Applications ...and 10 more Serials all top 5 Cited in 37 Fields 151 Partial differential equations (35-XX) 57 Dynamical systems and ergodic theory (37-XX) 33 Systems theory; control (93-XX) 28 Quantum theory (81-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of particles and systems (70-XX) 19 General topology (54-XX) 14 Algebraic topology (55-XX) 13 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 9 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 8 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 6 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-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) Citations by Year