Edit Profile (opens in new tab) Komech, Alexander Ilich Co-Author Distance Author ID: komech.alexander-ilich Published as: Komech, A. I.; Komech, Alexander; Komech, Alexander I.; Komech, A.; Komec, A. I.; Komech, Alexander Ilich; Komech, Aleksandr I. more...less Homepage: http://mech.math.msu.su/~piter/KOMECH.HTM External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 175 Publications since 1971, including 8 Books and 16 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 62 Co-Authors with 139 Joint Publications 2,307 Co-Co-Authors all top 5 Co-Authors 38 single-authored 42 Kopylova, Elena A. 20 Vishik, Marko Iosifovich 18 Merzon, Anatolĭ E. 16 Spohn, Herbert 15 Imaikin, Valery 14 Comech, Andrew 10 Dudnikova, Tat’yana V. 7 Mauser, Norbert Julius 6 Vaĭnberg, Boris Rufimovich 5 de la Paz Méndez, José Eligio 4 Fursikov, Andreĭ Vladimirovich 3 Egorov, Yu. Eh. 3 Egorov, Yuriĭ Vladimirovich 3 Freidlin, Mark I. 3 Kunze, Markus 3 Shubin, Mikhail Aleksandrovich 2 Agranovich, Mikhail Semënovich 2 Babin, Anatoli V. 2 Buslaev, Vladimir Savel’evich 2 Chepyzhov, Vladimir V. 2 Demidov, Alexandre Sergeevich 2 Dubinskiĭ, Yuliĭ Andreevich 2 Il’yasov, Yavdat Shavkatovich 2 Joly, Patrick 2 Kuchment, Peter A. 2 Kuksin, Sergeĭ B. 2 Lakshtanov, Evgeny L. 2 Maslov, Viktor Pavlovich 2 Maz’ya, Vladimir Gilelevich 2 Molchanov, Stanislav Alekseevich 2 Novikov, Roman G. 2 Ratanov, Nikita 2 Shnirelman, Alexander I. 2 Stuart, David M. A. 2 Suhov, Yurii Mikhailovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Vacus, Olivier 2 Villalba-Vega, T. J. 2 Zhevandrov, Peter N. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bensoussan, Alain 1 Budylin, A. M. 1 Dmitrieva, L. A. 1 Eskin, Gregory 1 Esquivel Navarrete, A. 1 Fleckinger, Jacqueline 1 Goritskiĭ, Andreĭ Yur’evich 1 Iliine, Cyrill 1 Karlovich, Yuri I. 1 Kopylov, Sergey A. 1 Krasnov, M. L. 1 Kuleshov, A. P. 1 Levin, S. B. 1 Makarenko, G. I. 1 Markowich, Peter Alexander 1 Novikov, Sergeĭ Petrovich 1 Perel, Maria V. 1 Rybakina, E. A. 1 Sukhanov, Vladimir V. 1 Vinnichenko, A. P. 1 Vishik, Mikhail 1 Volevich, Leonid Romanovich all top 5 Serials 15 Russian Journal of Mathematical Physics 9 Journal of Mathematical Physics 7 Russian Mathematical Surveys 6 Journal of Mathematical Analysis and Applications 6 Trudy Seminara Imeni I. G. Petrovskogo 5 Archive for Rational Mechanics and Analysis 5 Communications in Mathematical Physics 5 Mathematical Methods in the Applied Sciences 4 Journal of Statistical Physics 4 Moscow University Mathematics Bulletin 4 Physics Letters. A 4 Journal of Soviet Mathematics 4 Soviet Mathematics. Doklady 4 Communications in Partial Differential Equations 4 SIAM Journal on Mathematical Analysis 3 Applicable Analysis 3 Journal of Functional Analysis 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 3 Markov Processes and Related Fields 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Theory of Probability and its Applications 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematics of the USSR, Sbornik 2 St. Petersburg Mathematical Journal 2 Discrete and Continuous Dynamical Systems 2 Dynamics of Partial Differential Equations 2 Communications in Mathematical Analysis 2 Journal of Spectral Theory 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Doklady Mathematics 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Cambridge Tracts in Mathematics 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Lecture Notes in Mathematics 1 Translations. Series 2. American Mathematical Society 1 Annales Mathématiques du Québec 1 Nonlinear Analysis. Theory, Methods & Applications 1 Trends in Mathematics 1 Problem Books in Mathematics all top 5 Fields 145 Partial differential equations (35-XX) 44 Quantum theory (81-XX) 39 Dynamical systems and ergodic theory (37-XX) 25 Optics, electromagnetic theory (78-XX) 24 Probability theory and stochastic processes (60-XX) 18 Operator theory (47-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Fluid mechanics (76-XX) 11 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 8 Mechanics of deformable solids (74-XX) 5 History and biography (01-XX) 5 Functional analysis (46-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Measure and integration (28-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 953 times in 363 Documents Cited by ▼ Year ▼ Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094 Komech, Alexander; Spohn, Herbert; Kunze, Markus 38 1997 Some mathematical problems of statistical hydromechanics. Zbl 0503.76045 Vishik, M. I.; Komech, A. I.; Fursikov, A. V. 37 1979 Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. Zbl 1121.39015 Komech, A. I.; Kopylova, E. A.; Kunze, M. 31 2006 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149 Komech, Alexander; Spohn, Herbert 31 2000 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247 Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 31 2008 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054 Imaikin, Valery; Komech, Alexander; Vainberg, Boris 30 2006 Dispersion decay and scattering theory. Zbl 1317.35162 Komech, Alexander; Kopylova, Elena 27 2012 On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146 Kopylova, E.; Komech, A. I. 26 2011 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022 Komech, Alexander; Komech, Andrew 23 2010 On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134 Kopylova, E. A.; Komech, A. I. 22 2011 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010 Komech, Alexander; Kunze, Markus; Spohn, Herbert 22 1999 On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180 Komech, A. I.; Mauser, N. J.; Merzon, A. E. 21 2005 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003 Komech, Alexander; Komech, Andrew 20 2007 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201 Komech, Alexander; Komech, Andrew 20 2009 On stabilization of string-nonlinear oscillator interaction. Zbl 0859.35076 Komech, Alexander I. 19 1995 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352 Komech, Alexander; Kopylova, Elena; Stuart, David 18 2012 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046 Komech, Alexander; Spohn, Herbert 17 1998 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 16 2004 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 16 2003 Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132 Imaikin, Valery; Komech, Alexander; Mauser, Norbert 16 2004 On two-temperature problem for harmonic crystals. Zbl 1061.82002 Dudnikova, T. V.; Komech, A. I.; Mauser, N. J. 15 2004 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124 Komech, Alexander; Komech, Andrew 14 2010 Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040 Komech, A.; Kopylova, E. 13 2006 Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134 Komech, A. I.; Kopylova, E. A. 13 2010 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002 Imaykin, Valery; Komech, Alexander; Spohn, Herbert 13 2011 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 12 2004 On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030 Komech, Alexander 11 1999 Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023 Komech, A. I.; Kopylova, E. A. 11 2010 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070 Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 11 2003 Quantum mechanics: Genesis and achievements. Zbl 1264.81005 Komech, Alexander 10 2013 Linear partial differential equations with constant coefficients. Zbl 0805.35001 Komech, A. I. 10 1988 Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112 Komech, A. I.; Merzon, A. E. 10 2006 On the stabilization of interaction of a string with a nonlinear oscillator. Zbl 0784.35011 Komech, A. I. 10 1991 On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034 Dudnikova, T. V.; Komech, A. I. 9 2006 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068 Imaykin, Valery; Komech, Alexander; Vainberg, Boris 9 2012 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033 Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 9 2002 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301 Imaikin, V.; Komech, A.; Spohn, H. 9 2002 On attractor of a singular nonlinear \(U(1)\)-invariant Klein-Gordon equation. Zbl 1060.35022 Komech, A. I. 9 2003 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064 Komech, A.; Vainberg, B. 9 1996 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228 Komech, A. I.; Kopylova, E. A.; Spohn, H. 8 2011 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005 Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 Scattering in the nonlinear Lamb system. Zbl 1228.81264 Komech, A. I.; Merzon, A. E. 8 2009 On the convergence to a statistical equilibrium in the crystal coupled to a scalar field. Zbl 1189.81282 Dudnikova, T. V.; Komech, A. I. 8 2005 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020 Komech, Alexander I.; Komech, Andrew A. 8 2006 Attractors of Hamilton nonlinear PDEs. Zbl 1382.35049 Komech, Alexander 8 2016 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087 Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 7 2008 Elements of the modern theory of partial differential equations. Translated from the 1988 Russian origianl by P. C. Sinha. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Partial differential equations II), 31 (1994). Zbl 0946.35001 Egorov, Yu. V.; Komech, A. I.; Shubin, M. A. 7 1999 On a two-temperature problem for wave equation. Zbl 1074.82001 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 7 2002 Dispersive decay for the magnetic Schrödinger equation. Zbl 1259.35172 Komech, A. I.; Kopylova, E. A. 7 2013 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092 Komech, A. I.; Komech, A. A. 6 2007 Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075 Vishik, M. I.; Komech, A. I. 6 1981 On the completeness of Ursell’s trapping modes. Zbl 0914.76013 Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 6 1996 Elliptic boundary value problems on manifolds with a piecewise smooth boundary. Zbl 0291.35033 Komec, A. I. 6 1974 On the crystal ground state in the Schrödinger-Poisson model. Zbl 1326.35086 Komech, A. I. 6 2015 Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057 Komech, A. I.; Merzon, A. E. 5 2007 Elliptic boundary value problems for pseudodifferential operators on manifolds. with canical points. Zbl 0227.35040 Komech, A. I. 5 1971 Attraction to solitons in relativistic nonlinear wave equations. Zbl 1186.35222 Komech, A. I.; Mauser, N. J.; Vinnichenko, A. P. 5 2004 On eigenfunction expansion of solutions to the Hamilton equations. Zbl 1300.34195 Komech, A.; Kopylova, E. 5 2014 Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001 Komech, Aleksandr I.; Kopylova, Elena A. 5 2020 Linear partial differential equations with constant coefficients. Zbl 0686.35003 Komech, A. I. 4 1988 On metastable regimes in stochastic Lamb system. Zbl 1111.82026 Freidlin, M. I.; Komech, A. I. 4 2006 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008 Komech, Alexander I.; Komech, Andrew A. 4 2008 Long time decay for 2D Klein-Gordon equation. Zbl 1192.35151 Kopylova, E. A.; Komech, A. I. 4 2010 On the stabilization of string-oscillator interaction. Zbl 0964.35528 Komech, Alexander I. 4 1995 On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200 Komech, A. I.; Merzon, A. E. 4 2009 On convergence to equilibrium distribution. I: The Klein-Gordon equation with mixing. Zbl 1007.82014 Dudnikova, T. V.; Komech, A. I.; Kopylova, E. A.; Suhov, Yu. M. 4 2002 Time-dependent scattering of generalized plane waves by a wedge. Zbl 1335.35243 Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 4 2015 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 4 2015 Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076 Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander 4 2002 On convergence to equilibrium distribution. II: The wave equation in odd dimensions, with mixing. Zbl 1071.82004 Dudnikova, T. V.; Komech, A. I.; Ratanov, N. E.; Suhov, Y. M. 4 2002 On the eigenfunction expansion for Hamilton operators. Zbl 1327.35266 Komech, Alexander; Kopylova, Elena 4 2015 Global attractor for 1D Dirac field coupled to nonlinear oscillator. Zbl 1437.35600 Kopylova, Elena; Komech, Alexander 4 2020 Attractors of nonlinear Hamiltonian one-dimensional wave equations. Zbl 0958.37058 Komech, A. I. 3 2000 Principles of partial differential equations. Zbl 1275.35001 Komech, Alexander; Komech, Andrew 3 2009 Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 3 2002 Stabilization of space-time stochastic solutions of a wave equation. Zbl 0741.60025 Komech, A. I.; Ratanov, N. E. 3 1989 Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046 Vishik, M. I.; Komech, A. I. 3 1977 On the Keller-Blank solution to the scattering problem of pulses by wedges. Zbl 1333.35263 Merzon, A. E.; Komech, A. I.; De la Paz Mendez, J. E.; Villalba Vega, T. J. 3 2015 On the linear stability of crystals in the Schrödinger-Poisson model. Zbl 1358.35172 Komech, Alexander; Kopylova, Elena 3 2016 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047 Komech, Alexander; Kopylova, Elena 3 2019 On the crystal ground state in the Schrödinger-Poisson model with point ions. Zbl 1352.35137 Komech, A. I. 3 2016 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037 Komech, A. A.; Komech, A. I. 3 2013 On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle. Zbl 1512.35566 Komech, A. I.; Kopylova, E. A. 3 2023 Attractors of Hamiltonian nonlinear partial differential equations. Zbl 1481.37001 Komech, Alexander; Kopylova, Elena 3 2022 On asymptotic completeness of scattering in the nonlinear Lamb system. II. Zbl 1280.81140 Komech, A. I.; Merzon, A. E. 3 2013 On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation. Zbl 0495.35056 Vishik, M. I.; Komech, A. I. 2 1982 On transitions to stationary states in Hamiltonian nonlinear wave equations. Zbl 0947.35094 Komech, Alexander 2 1998 Ergodic properties of hyperbolic equations with mixing. Zbl 0894.60059 Dudnikova, T. V.; Komech, A. I. 2 1996 Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points. Zbl 0248.35043 Komec, A. I. 2 1972 Elliptic differential equations with constant coefficients in a cone. Zbl 0283.35032 Komec, A. I. 2 1974 General boundary value problems in region with corners. Zbl 0900.35111 Komech, A. I.; Merzon, A. E. 2 1992 On nonlinear wave equations with parabolic potentials. Zbl 1295.35063 Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. 2 2013 On uniqueness and stability of Sobolev’s solution in scattering by wedges. Zbl 1326.35366 Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 2 2015 On invariants for the Poincaré equations and applications. Zbl 1359.78009 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 2 2017 On dynamical justification of quantum scattering cross section. Zbl 1330.35362 Komech, Alexander 2 2015 On stability of ground states for finite crystals in the Schrödinger-Poisson model. Zbl 1362.82049 Komech, A.; Kopylova, E. 2 2017 Lectures on quantum mechanics and attractors. Zbl 1519.81323 Komech, Alexander 2 2022 Stationary diffraction by wedges. Method of automorphic functions on complex characteristics. Zbl 1431.35028 Komech, Alexander; Merzon, Anatoli 2 2019 On large deviations of solutions of nonlinear stochastic equations. Zbl 0675.60022 Imajkin, V. M.; Komech, A. I. 1 1988 Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier-Stokes system. Zbl 0491.60061 Vishik, M. I.; Komech, A. I. 1 1981 On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle. Zbl 1512.35566 Komech, A. I.; Kopylova, E. A. 3 2023 Attractors of Hamiltonian nonlinear partial differential equations. Zbl 1481.37001 Komech, Alexander; Kopylova, Elena 3 2022 Lectures on quantum mechanics and attractors. Zbl 1519.81323 Komech, Alexander 2 2022 On quantum jumps and attractors of the Maxwell-Schrödinger equations. Zbl 1498.35456 Komech, Alexander I. 1 2022 Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001 Komech, Aleksandr I.; Kopylova, Elena A. 5 2020 Global attractor for 1D Dirac field coupled to nonlinear oscillator. Zbl 1437.35600 Kopylova, Elena; Komech, Alexander 4 2020 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047 Komech, Alexander; Kopylova, Elena 3 2019 Stationary diffraction by wedges. Method of automorphic functions on complex characteristics. Zbl 1431.35028 Komech, Alexander; Merzon, Anatoli 2 2019 Sommerfeld’s solution as the limiting amplitude and asymptotics for narrow wedges. Zbl 1428.35556 Komech, A. I.; Merzon, A. E.; Esquivel Navarrete, A.; De La Paz Méndez, J. E.; Villalba Vega, T. J. 1 2019 On orbital stability of ground states for finite crystals in fermionic Schrödinger-Poisson model. Zbl 1387.35044 Komech, Alexander; Kopylova, Elena 1 2018 On invariants for the Poincaré equations and applications. Zbl 1359.78009 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 2 2017 On stability of ground states for finite crystals in the Schrödinger-Poisson model. Zbl 1362.82049 Komech, A.; Kopylova, E. 2 2017 Attractors of Hamilton nonlinear PDEs. Zbl 1382.35049 Komech, Alexander 8 2016 On the linear stability of crystals in the Schrödinger-Poisson model. Zbl 1358.35172 Komech, Alexander; Kopylova, Elena 3 2016 On the crystal ground state in the Schrödinger-Poisson model with point ions. Zbl 1352.35137 Komech, A. I. 3 2016 Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle. Zbl 1342.81642 Kopylova, E. A.; Komech, A. I. 1 2016 On the crystal ground state in the Schrödinger-Poisson model. Zbl 1326.35086 Komech, A. I. 6 2015 Time-dependent scattering of generalized plane waves by a wedge. Zbl 1335.35243 Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 4 2015 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 4 2015 On the eigenfunction expansion for Hamilton operators. Zbl 1327.35266 Komech, Alexander; Kopylova, Elena 4 2015 On the Keller-Blank solution to the scattering problem of pulses by wedges. Zbl 1333.35263 Merzon, A. E.; Komech, A. I.; De la Paz Mendez, J. E.; Villalba Vega, T. J. 3 2015 On uniqueness and stability of Sobolev’s solution in scattering by wedges. Zbl 1326.35366 Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 2 2015 On dynamical justification of quantum scattering cross section. Zbl 1330.35362 Komech, Alexander 2 2015 On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361 Komech, A. I. 1 2015 Weighted energy decay for magnetic Klein-Gordon equation. Zbl 1311.35028 Komech, A. I.; Kopylova, E. A. 1 2015 On eigenfunction expansion of solutions to the Hamilton equations. Zbl 1300.34195 Komech, A.; Kopylova, E. 5 2014 Quantum mechanics: Genesis and achievements. Zbl 1264.81005 Komech, Alexander 10 2013 Dispersive decay for the magnetic Schrödinger equation. Zbl 1259.35172 Komech, A. I.; Kopylova, E. A. 7 2013 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037 Komech, A. A.; Komech, A. I. 3 2013 On asymptotic completeness of scattering in the nonlinear Lamb system. II. Zbl 1280.81140 Komech, A. I.; Merzon, A. E. 3 2013 On nonlinear wave equations with parabolic potentials. Zbl 1295.35063 Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. 2 2013 Dispersion decay and scattering theory. Zbl 1317.35162 Komech, Alexander; Kopylova, Elena 27 2012 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352 Komech, Alexander; Kopylova, Elena; Stuart, David 18 2012 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068 Imaykin, Valery; Komech, Alexander; Vainberg, Boris 9 2012 On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146 Kopylova, E.; Komech, A. I. 26 2011 On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134 Kopylova, E. A.; Komech, A. I. 22 2011 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002 Imaykin, Valery; Komech, Alexander; Spohn, Herbert 13 2011 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228 Komech, A. I.; Kopylova, E. A.; Spohn, H. 8 2011 Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time. Zbl 1326.35334 Comech, A.; Komech, A. 1 2011 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022 Komech, Alexander; Komech, Andrew 23 2010 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124 Komech, Alexander; Komech, Andrew 14 2010 Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134 Komech, A. I.; Kopylova, E. A. 13 2010 Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023 Komech, A. I.; Kopylova, E. A. 11 2010 Long time decay for 2D Klein-Gordon equation. Zbl 1192.35151 Kopylova, E. A.; Komech, A. I. 4 2010 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201 Komech, Alexander; Komech, Andrew 20 2009 Scattering in the nonlinear Lamb system. Zbl 1228.81264 Komech, A. I.; Merzon, A. E. 8 2009 On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200 Komech, A. I.; Merzon, A. E. 4 2009 Principles of partial differential equations. Zbl 1275.35001 Komech, Alexander; Komech, Andrew 3 2009 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247 Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 31 2008 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087 Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 7 2008 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008 Komech, Alexander I.; Komech, Andrew A. 4 2008 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003 Komech, Alexander; Komech, Andrew 20 2007 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092 Komech, A. I.; Komech, A. A. 6 2007 Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057 Komech, A. I.; Merzon, A. E. 5 2007 On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438 Imaykin, Valery; Komech, Alexander; Vainberg, Boris 1 2007 Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. Zbl 1121.39015 Komech, A. I.; Kopylova, E. A.; Kunze, M. 31 2006 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054 Imaikin, Valery; Komech, Alexander; Vainberg, Boris 30 2006 Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040 Komech, A.; Kopylova, E. 13 2006 Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112 Komech, A. I.; Merzon, A. E. 10 2006 On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034 Dudnikova, T. V.; Komech, A. I. 9 2006 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020 Komech, Alexander I.; Komech, Andrew A. 8 2006 On metastable regimes in stochastic Lamb system. Zbl 1111.82026 Freidlin, M. I.; Komech, A. I. 4 2006 On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180 Komech, A. I.; Mauser, N. J.; Merzon, A. E. 21 2005 On the convergence to a statistical equilibrium in the crystal coupled to a scalar field. Zbl 1189.81282 Dudnikova, T. V.; Komech, A. I. 8 2005 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 16 2004 Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132 Imaikin, Valery; Komech, Alexander; Mauser, Norbert 16 2004 On two-temperature problem for harmonic crystals. Zbl 1061.82002 Dudnikova, T. V.; Komech, A. I.; Mauser, N. J. 15 2004 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 12 2004 Attraction to solitons in relativistic nonlinear wave equations. Zbl 1186.35222 Komech, A. I.; Mauser, N. J.; Vinnichenko, A. P. 5 2004 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 16 2003 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070 Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 11 2003 On attractor of a singular nonlinear \(U(1)\)-invariant Klein-Gordon equation. Zbl 1060.35022 Komech, A. I. 9 2003 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033 Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 9 2002 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301 Imaikin, V.; Komech, A.; Spohn, H. 9 2002 On a two-temperature problem for wave equation. Zbl 1074.82001 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 7 2002 On convergence to equilibrium distribution. I: The Klein-Gordon equation with mixing. Zbl 1007.82014 Dudnikova, T. V.; Komech, A. I.; Kopylova, E. A.; Suhov, Yu. M. 4 2002 Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076 Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander 4 2002 On convergence to equilibrium distribution. II: The wave equation in odd dimensions, with mixing. Zbl 1071.82004 Dudnikova, T. V.; Komech, A. I.; Ratanov, N. E.; Suhov, Y. M. 4 2002 Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 3 2002 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149 Komech, Alexander; Spohn, Herbert 31 2000 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005 Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 Attractors of nonlinear Hamiltonian one-dimensional wave equations. Zbl 0958.37058 Komech, A. I. 3 2000 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010 Komech, Alexander; Kunze, Markus; Spohn, Herbert 22 1999 On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030 Komech, Alexander 11 1999 Elements of the modern theory of partial differential equations. Translated from the 1988 Russian origianl by P. C. Sinha. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Partial differential equations II), 31 (1994). Zbl 0946.35001 Egorov, Yu. V.; Komech, A. I.; Shubin, M. A. 7 1999 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046 Komech, Alexander; Spohn, Herbert 17 1998 On transitions to stationary states in Hamiltonian nonlinear wave equations. Zbl 0947.35094 Komech, Alexander 2 1998 Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094 Komech, Alexander; Spohn, Herbert; Kunze, Markus 38 1997 On soliton-like asymptotics for 1D nonlinear reaction systems. Zbl 0910.35110 Fleckinger, Jacqueline; Komech, Alexander 1 1997 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064 Komech, A.; Vainberg, B. 9 1996 On the completeness of Ursell’s trapping modes. Zbl 0914.76013 Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 6 1996 Ergodic properties of hyperbolic equations with mixing. Zbl 0894.60059 Dudnikova, T. V.; Komech, A. I. 2 1996 On stabilization of string-nonlinear oscillator interaction. Zbl 0859.35076 Komech, Alexander I. 19 1995 On the stabilization of string-oscillator interaction. Zbl 0964.35528 Komech, Alexander I. 4 1995 General boundary value problems in region with corners. Zbl 0900.35111 Komech, A. I.; Merzon, A. E. 2 1992 On the stabilization of interaction of a string with a nonlinear oscillator. Zbl 0784.35011 Komech, A. I. 10 1991 On stabilization of interaction of a string with a nonlinear oscillator. Zbl 0761.35011 Komech, A. I. 1 1991 Stabilization of space-time stochastic solutions of a wave equation. Zbl 0741.60025 Komech, A. I.; Ratanov, N. E. 3 1989 Linear partial differential equations with constant coefficients. Zbl 0805.35001 Komech, A. I. 10 1988 Linear partial differential equations with constant coefficients. Zbl 0686.35003 Komech, A. I. 4 1988 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 335 Authors 58 Komech, Alexander Ilich 42 Kopylova, Elena A. 23 Dudnikova, Tat’yana V. 15 Merzon, Anatolĭ E. 9 Comech, Andrew 8 Imaikin, Valery 8 Muñoz, Claudio 8 Soffer, Avraham 7 Noja, Diego 7 Posilicano, Andrea 6 Pinheiro de Castro, Luís Filipe 6 Cuccagna, Scipio 6 de la Paz Méndez, José Eligio 6 Kowalczyk, Michał 6 Maeda, Masaya 6 Spohn, Herbert 5 Deugoue, Gabriel 5 Kapanadze, David 5 Mantile, Andrea 5 Martel, Yvan 5 Pelinovsky, Dmitry Efimovich 4 Cacciapuoti, Claudio 4 Cimrák, Ivan 4 Figotin, Alexander 4 Goudon, Thierry 4 Maslov, Viktor Pavlovich 4 Shafarevich, Andreĭ Igorevich 4 Vaĭnberg, Boris Rufimovich 4 Zhevandrov, Peter N. 3 Adami, Riccardo 3 Bambusi, Dario 3 Chueshov, Igor’ Dmitrievich 3 Duduchava, Roland 3 Dukhnovskiĭ, Sergeĭ Anatol’evich 3 Düster, Alexander 3 Feng, Hongliang 3 Glatt-Holtz, Nathan E. 3 Li, Jiyong 3 Lührmann, Jonas 3 Mashkin, Timur 3 Ortner, Norbert 3 Rabinovich, Vladimir Samuilovich 3 Radkevich, Evgeniĭ Vladimirovich 3 Slodička, Marián 3 Stefanov, Atanas G. 3 Tachim Medjo, Theodore 3 Teschl, Gerald 3 Villalba-Vega, T. J. 3 Vishik, Marko Iosifovich 2 Babin, Anatoli V. 2 Bao, Weizhu 2 Bauer, Gernot 2 Boussaid, Nabile 2 Cai, Yongyong 2 Carlone, Raffaele 2 Chae, Dongho 2 Christiansen, Tanya J. 2 Deckert, Dirk-André 2 Djoko, Jules K. 2 Dürr, Detlef 2 Egorova, Iryna 2 Erbts, Patrick 2 Finco, Domenico 2 Fouape, A. C. 2 Freidlin, Mark I. 2 Gishlarkaev, Vakha I. 2 Hennig, Dirk 2 Inoue, Atsushi 2 Karachalios, Nikos I. 2 Kiessling, Michael Karl-Heinz 2 Kovařík, Hynek 2 Krueger, August J. 2 Kunze, Markus 2 Malyshev, Vadim Aleksandrovich 2 Mi, Yue 2 Millet, Annie 2 Ortoleva, Cecilia 2 Pavlov, Aleksandr Leonidovich 2 Prill, Oskar 2 Rozovskii, Boris L. 2 Sango, Mamadou 2 Schenker, Jeffrey H. 2 Schulze, Bert-Wolfgang 2 Shimabukuro, Yusuke 2 Sini, Mourad 2 Snelson, Stanley 2 Speck, Frank-Olme 2 Stuart, David M. A. 2 Tentarelli, Lorenzo 2 Teta, Alessandro 2 Tsaava, Medea 2 Vasil’eva, Ol’ga Aleksandrovna 2 Vicol, Vlad C. 2 Vivion, Léo 2 Wagner, Peter 2 Wang, Tingchun 2 Yao, Xiaohua 2 Yin, Jia 1 Aafarani, Maha 1 Abrahams, I. David ...and 235 more Authors all top 5 Cited in 131 Serials 19 Journal of Mathematical Analysis and Applications 19 Russian Journal of Mathematical Physics 18 Journal of Mathematical Physics 11 Communications in Mathematical Physics 10 Journal of Mathematical Sciences (New York) 8 Mathematical Methods in the Applied Sciences 8 Journal of Differential Equations 8 Journal of Functional Analysis 8 Communications in Partial Differential Equations 7 Applicable Analysis 7 Archive for Rational Mechanics and Analysis 7 Journal of Soviet Mathematics 7 Discrete and Continuous Dynamical Systems 6 Mathematical Notes 6 Physics Letters. A 6 Physica D 5 Russian Mathematical Surveys 5 Theoretical and Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. 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Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Annales Mathématiques Blaise Pascal 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 European Journal of Control 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. 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