Edit Profile (opens in new tab) Komech, Alexander Ilich Compute Distance To: Compute 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: 157 Publications since 1971, including 8 Books 1 Contribution as Editor Co-Authors: 61 Co-Authors with 127 Joint Publications 2,191 Co-Co-Authors all top 5 Co-Authors 31 single-authored 34 Kopylova, Elena A. 20 Vishik, Marko Iosifovich 16 Merzon, Anatolĭ E. 16 Spohn, Herbert 15 Imaikin, Valery 12 Comech, Andrew 10 Dudnikova, Tat’yana V. 7 Mauser, Norbert Julius 6 Vaĭnberg, Boris Rufimovich 4 de la Paz Méndez, José Eligio 4 Fursikov, Andreĭ Vladimirovich 3 Egorov, Yu. Eh. 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 Egorov, Yuriĭ Vladimirovich 2 Freidlin, Mark I. 2 Il’yasov, Yavdat Shavkatovich 2 Joly, Patrick 2 Kuksin, Sergeĭ B. 2 Maslov, Viktor Pavlovich 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 Kuchment, Peter A. 1 Kuleshov, A. P. 1 Lakshtanov, Evgeny L. 1 Levin, S. B. 1 Makarenko, G. I. 1 Markowich, Peter Alexander 1 Maz’ya, Vladimir Gilelevich 1 Molchanov, Stanislav Alekseevich 1 Novikov, Roman G. 1 Novikov, Sergeĭ Petrovich 1 Perel, Maria V. 1 Rybakina, E. A. 1 Sukhanov, Vladimir V. 1 Vinnichenko, A. P. 1 Volevich, Leonid Romanovich all top 5 Serials 15 Russian Journal of Mathematical Physics 8 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 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 Problem Books in Mathematics all top 5 Fields 131 Partial differential equations (35-XX) 35 Quantum theory (81-XX) 31 Dynamical systems and ergodic theory (37-XX) 24 Probability theory and stochastic processes (60-XX) 21 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Fluid mechanics (76-XX) 13 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 8 Mechanics of deformable solids (74-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Measure and integration (28-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 855 times in 328 Documents Cited by ▼ Year ▼ Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094Komech, Alexander; Spohn, Herbert; Kunze, Markus 34 1997 Some mathematical problems of statistical hydromechanics. Zbl 0503.76045Vishik, M. I.; Komech, A. I.; Fursikov, A. V. 31 1979 Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. Zbl 1121.39015Komech, A. I.; Kopylova, E. A.; Kunze, M. 30 2006 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149Komech, Alexander; Spohn, Herbert 29 2000 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 27 2008 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054Imaikin, Valery; Komech, Alexander; Vainberg, Boris 27 2006 Dispersion decay and scattering theory. Zbl 1317.35162Komech, Alexander; Kopylova, Elena 24 2012 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022Komech, Alexander; Komech, Andrew 22 2010 On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180Komech, A. I.; Mauser, N. J.; Merzon, A. E. 21 2005 On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146Kopylova, E.; Komech, A. I. 21 2011 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003Komech, Alexander; Komech, Andrew 19 2007 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010Komech, Alexander; Kunze, Markus; Spohn, Herbert 18 1999 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201Komech, Alexander; Komech, Andrew 17 2009 On stabilization of string-nonlinear oscillator interaction. Zbl 0859.35076Komech, Alexander I. 17 1995 On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134Kopylova, E. A.; Komech, A. I. 17 2011 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046Komech, Alexander; Spohn, Herbert 16 1998 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029Dudnikova, T. V.; Komech, A. I.; Spohn, H. 15 2003 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352Komech, Alexander; Kopylova, Elena; Stuart, David 15 2012 Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132Imaikin, Valery; Komech, Alexander; Mauser, Norbert 15 2004 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145Imaikin, Valery; Komech, Alexander; Spohn, Herbert 14 2004 On two-temperature problem for harmonic crystals. Zbl 1061.82002Dudnikova, T. V.; Komech, A. I.; Mauser, N. J. 13 2004 Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134Komech, A. I.; Kopylova, E. A. 12 2010 Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040Komech, A.; Kopylova, E. 12 2006 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124Komech, Alexander; Komech, Andrew 12 2010 Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023Komech, A. I.; Kopylova, E. A. 11 2010 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 11 2002 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057Imaikin, Valery; Komech, Alexander; Spohn, Herbert 11 2004 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002Imaykin, Valery; Komech, Alexander; Spohn, Herbert 11 2011 Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112Komech, A. I.; Merzon, A. E. 10 2006 On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030Komech, Alexander 10 1999 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 10 2003 On the stabilization of interaction of a string with a nonlinear oscillator. Zbl 0784.35011Komech, A. I. 9 1991 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064Komech, A.; Vainberg, B. 9 1996 On attractor of a singular nonlinear \(U(1)\)-invariant Klein-Gordon equation. Zbl 1060.35022Komech, A. I. 9 2003 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020Komech, Alexander I.; Komech, Andrew A. 8 2006 On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034Dudnikova, T. V.; Komech, A. I. 8 2006 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068Imaykin, Valery; Komech, Alexander; Vainberg, Boris 8 2012 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228Komech, A. I.; Kopylova, E. A.; Spohn, H. 8 2011 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 Quantum mechanics: Genesis and achievements. Zbl 1264.81005Komech, Alexander 8 2013 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301Imaikin, V.; Komech, A.; Spohn, H. 8 2002 Attractors of Hamilton nonlinear PDEs. Zbl 1382.35049Komech, Alexander 7 2016 Linear partial differential equations with constant coefficients. Zbl 0805.35001Komech, A. I. 7 1988 Scattering in the nonlinear Lamb system. Zbl 1228.81264Komech, A. I.; Merzon, A. E. 7 2009 Elliptic boundary value problems on manifolds with a piecewise smooth boundary. Zbl 0291.35033Komec, A. I. 7 1974 Dispersive decay for the magnetic Schrödinger equation. Zbl 1259.35172Komech, A. I.; Kopylova, E. A. 7 2013 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 6 2008 Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075Vishik, M. I.; Komech, A. I. 6 1981 On the convergence to a statistical equilibrium in the crystal coupled to a scalar field. Zbl 1189.81282Dudnikova, T. V.; Komech, A. I. 6 2005 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 0946.35001Egorov, Yu. V.; Komech, A. I.; Shubin, M. A. 6 1999 On a two-temperature problem for wave equation. Zbl 1074.82001Dudnikova, T. V.; Komech, A. I.; Spohn, H. 6 2002 On the crystal ground state in the Schrödinger-Poisson model. Zbl 1326.35086Komech, A. I. 5 2015 Attraction to solitons in relativistic nonlinear wave equations. Zbl 1186.35222Komech, A. I.; Mauser, N. J.; Vinnichenko, A. P. 5 2004 On the completeness of Ursell’s trapping modes. Zbl 0914.76013Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 5 1996 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092Komech, A. I.; Komech, A. A. 5 2007 Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057Komech, A. I.; Merzon, A. E. 5 2007 On eigenfunction expansion of solutions to the Hamilton equations. Zbl 1300.34195Komech, A.; Kopylova, E. 5 2014 On the eigenfunction expansion for Hamilton operators. Zbl 1327.35266Komech, Alexander; Kopylova, Elena 4 2015 Global attractor for 1D Dirac field coupled to nonlinear oscillator. Zbl 1437.35600Kopylova, Elena; Komech, Alexander 4 2020 Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001Komech, Aleksandr I.; Kopylova, Elena A. 4 2020 Long time decay for 2D Klein-Gordon equation. Zbl 1192.35151Kopylova, E. A.; Komech, A. I. 4 2010 Linear partial differential equations with constant coefficients. Zbl 0686.35003Komech, A. I. 4 1988 On the stabilization of string-oscillator interaction. Zbl 0964.35528Komech, Alexander I. 4 1995 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008Komech, Alexander I.; Komech, Andrew A. 4 2008 On convergence to equilibrium distribution. I: The Klein-Gordon equation with mixing. Zbl 1007.82014Dudnikova, T. V.; Komech, A. I.; Kopylova, E. A.; Suhov, Yu. M. 4 2002 On convergence to equilibrium distribution. II: The wave equation in odd dimensions, with mixing. Zbl 1071.82004Dudnikova, T. V.; Komech, A. I.; Ratanov, N. E.; Suhov, Y. M. 4 2002 Time-dependent scattering of generalized plane waves by a wedge. Zbl 1335.35243Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 4 2015 On the crystal ground state in the Schrödinger-Poisson model with point ions. Zbl 1352.35137Komech, A. I. 3 2016 On the linear stability of crystals in the Schrödinger-Poisson model. Zbl 1358.35172Komech, Alexander; Kopylova, Elena 3 2016 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047Komech, Alexander; Kopylova, Elena 3 2019 Stabilization of space-time stochastic solutions of a wave equation. Zbl 0741.60025Komech, A. I.; Ratanov, N. E. 3 1989 On metastable regimes in stochastic Lamb system. Zbl 1111.82026Freidlin, M. I.; Komech, A. I. 3 2006 Principles of partial differential equations. Zbl 1275.35001Komech, Alexander; Komech, Andrew 3 2009 On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200Komech, A. I.; Merzon, A. E. 3 2009 On uniqueness and stability of Sobolev’s solution in scattering by wedges. Zbl 1326.35366Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 3 2015 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037Komech, A. A.; Komech, A. I. 3 2013 On asymptotic completeness of scattering in the nonlinear Lamb system. II. Zbl 1280.81140Komech, A. I.; Merzon, A. E. 3 2013 Elliptic boundary value problems for pseudodifferential operators on manifolds. with canical points. Zbl 0227.35040Komech, A. I. 3 1971 Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander 3 2002 Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046Vishik, M. I.; Komech, A. I. 3 1977 Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308Dudnikova, T. V.; Komech, A. I.; Spohn, H. 3 2002 Stationary diffraction by wedges. Method of automorphic functions on complex characteristics. Zbl 1431.35028Komech, Alexander; Merzon, Anatoli 2 2019 Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points. Zbl 0248.35043Komec, A. I. 2 1972 On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation. Zbl 0495.35056Vishik, M. I.; Komech, A. I. 2 1982 On dynamical justification of quantum scattering cross section. Zbl 1330.35362Komech, Alexander 2 2015 Attractors of Hamiltonian nonlinear partial differential equations. Zbl 1481.37001Komech, Alexander; Kopylova, Elena 2 2022 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 2 2015 On the Keller-Blank solution to the scattering problem of pulses by wedges. Zbl 1333.35263Merzon, A. E.; Komech, A. I.; De la Paz Mendez, J. E.; Villalba Vega, T. J. 2 2015 On stability of ground states for finite crystals in the Schrödinger-Poisson model. Zbl 1362.82049Komech, A.; Kopylova, E. 2 2017 On nonlinear wave equations with parabolic potentials. Zbl 1295.35063Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. 2 2013 Attractors of nonlinear Hamiltonian one-dimensional wave equations. Zbl 0958.37058Komech, A. I. 2 2000 On transitions to stationary states in Hamiltonian nonlinear wave equations. Zbl 0947.35094Komech, Alexander 2 1998 General boundary value problems in region with corners. Zbl 0900.35111Komech, A. I.; Merzon, A. E. 2 1992 Ergodic properties of hyperbolic equations with mixing. Zbl 0894.60059Dudnikova, T. V.; Komech, A. I. 2 1996 Sommerfeld’s solution as the limiting amplitude and asymptotics for narrow wedges. Zbl 1428.35556Komech, A. I.; Merzon, A. E.; Esquivel Navarrete, A.; De La Paz Méndez, J. E.; Villalba Vega, T. J. 1 2019 Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier-Stokes system. Zbl 0491.60061Vishik, M. I.; Komech, A. I. 1 1981 Strong solution of a two-dimensional stochastic Navier-Stokes system and the corresponding Kolmogorov equation. Zbl 0512.60050Vishik, M. I.; Komech, A. I. 1 1982 On a stochastic Navier-Stokes system and the corresponding Kolmogorov equations. Zbl 0513.35071Vishik, M. I.; Komech, A. I. 1 1981 On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361Komech, A. I. 1 2015 Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time. Zbl 1326.35334Comech, A.; Komech, A. 1 2011 Attractors of Hamiltonian nonlinear partial differential equations. Zbl 1481.37001Komech, Alexander; Kopylova, Elena 2 2022 Lectures on quantum mechanics and attractors. Zbl 07503153Komech, Alexander 1 2022 Global attractor for 1D Dirac field coupled to nonlinear oscillator. Zbl 1437.35600Kopylova, Elena; Komech, Alexander 4 2020 Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001Komech, Aleksandr I.; Kopylova, Elena A. 4 2020 On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities. Zbl 1411.35047Komech, Alexander; Kopylova, Elena 3 2019 Stationary diffraction by wedges. Method of automorphic functions on complex characteristics. Zbl 1431.35028Komech, Alexander; Merzon, Anatoli 2 2019 Sommerfeld’s solution as the limiting amplitude and asymptotics for narrow wedges. Zbl 1428.35556Komech, 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 1387.35044Komech, Alexander; Kopylova, Elena 1 2018 On stability of ground states for finite crystals in the Schrödinger-Poisson model. Zbl 1362.82049Komech, A.; Kopylova, E. 2 2017 On invariants for the Poincaré equations and applications. Zbl 1359.78009Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 1 2017 Attractors of Hamilton nonlinear PDEs. Zbl 1382.35049Komech, Alexander 7 2016 On the crystal ground state in the Schrödinger-Poisson model with point ions. Zbl 1352.35137Komech, A. I. 3 2016 On the linear stability of crystals in the Schrödinger-Poisson model. Zbl 1358.35172Komech, Alexander; Kopylova, Elena 3 2016 Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle. Zbl 1342.81642Kopylova, E. A.; Komech, A. I. 1 2016 On the crystal ground state in the Schrödinger-Poisson model. Zbl 1326.35086Komech, A. I. 5 2015 On the eigenfunction expansion for Hamilton operators. Zbl 1327.35266Komech, Alexander; Kopylova, Elena 4 2015 Time-dependent scattering of generalized plane waves by a wedge. Zbl 1335.35243Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 4 2015 On uniqueness and stability of Sobolev’s solution in scattering by wedges. Zbl 1326.35366Komech, A. I.; Merzon, A. E.; de la Paz Méndez, J. E. 3 2015 On dynamical justification of quantum scattering cross section. Zbl 1330.35362Komech, Alexander 2 2015 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 2 2015 On the Keller-Blank solution to the scattering problem of pulses by wedges. Zbl 1333.35263Merzon, A. E.; Komech, A. I.; De la Paz Mendez, J. E.; Villalba Vega, T. J. 2 2015 On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361Komech, A. I. 1 2015 Weighted energy decay for magnetic Klein-Gordon equation. Zbl 1311.35028Komech, A. I.; Kopylova, E. A. 1 2015 On eigenfunction expansion of solutions to the Hamilton equations. Zbl 1300.34195Komech, A.; Kopylova, E. 5 2014 Quantum mechanics: Genesis and achievements. Zbl 1264.81005Komech, Alexander 8 2013 Dispersive decay for the magnetic Schrödinger equation. Zbl 1259.35172Komech, A. I.; Kopylova, E. A. 7 2013 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037Komech, A. A.; Komech, A. I. 3 2013 On asymptotic completeness of scattering in the nonlinear Lamb system. II. Zbl 1280.81140Komech, A. I.; Merzon, A. E. 3 2013 On nonlinear wave equations with parabolic potentials. Zbl 1295.35063Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. 2 2013 Dispersion decay and scattering theory. Zbl 1317.35162Komech, Alexander; Kopylova, Elena 24 2012 On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352Komech, Alexander; Kopylova, Elena; Stuart, David 15 2012 Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068Imaykin, Valery; Komech, Alexander; Vainberg, Boris 8 2012 On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146Kopylova, E.; Komech, A. I. 21 2011 On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134Kopylova, E. A.; Komech, A. I. 17 2011 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002Imaykin, Valery; Komech, Alexander; Spohn, Herbert 11 2011 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228Komech, 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 1326.35334Comech, A.; Komech, A. 1 2011 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022Komech, Alexander; Komech, Andrew 22 2010 Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134Komech, A. I.; Kopylova, E. A. 12 2010 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124Komech, Alexander; Komech, Andrew 12 2010 Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023Komech, A. I.; Kopylova, E. A. 11 2010 Long time decay for 2D Klein-Gordon equation. Zbl 1192.35151Kopylova, E. A.; Komech, A. I. 4 2010 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201Komech, Alexander; Komech, Andrew 17 2009 Scattering in the nonlinear Lamb system. Zbl 1228.81264Komech, A. I.; Merzon, A. E. 7 2009 Principles of partial differential equations. Zbl 1275.35001Komech, Alexander; Komech, Andrew 3 2009 On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200Komech, A. I.; Merzon, A. E. 3 2009 On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. Zbl 1185.35247Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. 27 2008 On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. 6 2008 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008Komech, Alexander I.; Komech, Andrew A. 4 2008 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003Komech, Alexander; Komech, Andrew 19 2007 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092Komech, A. I.; Komech, A. A. 5 2007 Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057Komech, A. I.; Merzon, A. E. 5 2007 On scattering of solitons for wave equation coupled to a particle. Zbl 1387.35438Imaykin, Valery; Komech, Alexander; Vainberg, Boris 1 2007 Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. Zbl 1121.39015Komech, A. I.; Kopylova, E. A.; Kunze, M. 30 2006 On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054Imaikin, Valery; Komech, Alexander; Vainberg, Boris 27 2006 Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040Komech, A.; Kopylova, E. 12 2006 Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112Komech, A. I.; Merzon, A. E. 10 2006 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020Komech, Alexander I.; Komech, Andrew A. 8 2006 On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034Dudnikova, T. V.; Komech, A. I. 8 2006 On metastable regimes in stochastic Lamb system. Zbl 1111.82026Freidlin, M. I.; Komech, A. I. 3 2006 On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180Komech, 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 1189.81282Dudnikova, T. V.; Komech, A. I. 6 2005 Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132Imaikin, Valery; Komech, Alexander; Mauser, Norbert 15 2004 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145Imaikin, Valery; Komech, Alexander; Spohn, Herbert 14 2004 On two-temperature problem for harmonic crystals. Zbl 1061.82002Dudnikova, T. V.; Komech, A. I.; Mauser, N. J. 13 2004 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057Imaikin, Valery; Komech, Alexander; Spohn, Herbert 11 2004 Attraction to solitons in relativistic nonlinear wave equations. Zbl 1186.35222Komech, A. I.; Mauser, N. J.; Vinnichenko, A. P. 5 2004 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029Dudnikova, T. V.; Komech, A. I.; Spohn, H. 15 2003 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 10 2003 On attractor of a singular nonlinear \(U(1)\)-invariant Klein-Gordon equation. Zbl 1060.35022Komech, A. I. 9 2003 A method of complex characteristics for elliptic problems in angles, and its applications. Zbl 1290.35033Komech, Alexander Ilich; Merzon, Anatolii E.; Zhevandrov, Peter N. 11 2002 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301Imaikin, V.; Komech, A.; Spohn, H. 8 2002 On a two-temperature problem for wave equation. Zbl 1074.82001Dudnikova, T. V.; Komech, A. I.; Spohn, H. 6 2002 On convergence to equilibrium distribution. I: The Klein-Gordon equation with mixing. Zbl 1007.82014Dudnikova, T. V.; Komech, A. I.; Kopylova, E. A.; Suhov, Yu. M. 4 2002 On convergence to equilibrium distribution. II: The wave equation in odd dimensions, with mixing. Zbl 1071.82004Dudnikova, T. V.; Komech, A. I.; Ratanov, N. E.; Suhov, Y. M. 4 2002 Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander 3 2002 Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308Dudnikova, T. V.; Komech, A. I.; Spohn, H. 3 2002 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149Komech, Alexander; Spohn, Herbert 29 2000 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 Attractors of nonlinear Hamiltonian one-dimensional wave equations. Zbl 0958.37058Komech, A. I. 2 2000 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010Komech, Alexander; Kunze, Markus; Spohn, Herbert 18 1999 On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030Komech, Alexander 10 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 0946.35001Egorov, Yu. V.; Komech, A. I.; Shubin, M. A. 6 1999 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046Komech, Alexander; Spohn, Herbert 16 1998 On transitions to stationary states in Hamiltonian nonlinear wave equations. Zbl 0947.35094Komech, Alexander 2 1998 Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094Komech, Alexander; Spohn, Herbert; Kunze, Markus 34 1997 On soliton-like asymptotics for 1D nonlinear reaction systems. Zbl 0910.35110Fleckinger, Jacqueline; Komech, Alexander 1 1997 On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations. Zbl 0863.35064Komech, A.; Vainberg, B. 9 1996 On the completeness of Ursell’s trapping modes. Zbl 0914.76013Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N. 5 1996 Ergodic properties of hyperbolic equations with mixing. Zbl 0894.60059Dudnikova, T. V.; Komech, A. I. 2 1996 On stabilization of string-nonlinear oscillator interaction. Zbl 0859.35076Komech, Alexander I. 17 1995 On the stabilization of string-oscillator interaction. Zbl 0964.35528Komech, Alexander I. 4 1995 General boundary value problems in region with corners. Zbl 0900.35111Komech, A. I.; Merzon, A. E. 2 1992 On the stabilization of interaction of a string with a nonlinear oscillator. Zbl 0784.35011Komech, A. I. 9 1991 On stabilization of interaction of a string with a nonlinear oscillator. Zbl 0761.35011Komech, A. I. 1 1991 Stabilization of space-time stochastic solutions of a wave equation. Zbl 0741.60025Komech, A. I.; Ratanov, N. E. 3 1989 Linear partial differential equations with constant coefficients. Zbl 0805.35001Komech, A. I. 7 1988 Linear partial differential equations with constant coefficients. Zbl 0686.35003Komech, A. I. 4 1988 On large deviations of solutions of nonlinear stochastic equations. Zbl 0675.60022Imajkin, V. M.; Komech, A. I. 1 1988 On the solvability of the Cauchy problem for the Hopf equation corresponding to a nonlinear hyperbolic equation. Zbl 0495.35056Vishik, M. I.; Komech, A. I. 2 1982 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 309 Authors 56 Komech, Alexander Ilich 38 Kopylova, Elena A. 20 Dudnikova, Tat’yana V. 15 Merzon, Anatolĭ E. 11 Comech, Andrew 8 Imaikin, Valery 7 Muñoz, Claudio 7 Soffer, Avraham 6 Pinheiro de Castro, Luís Filipe 6 Cuccagna, Scipio 6 de la Paz Méndez, José Eligio 6 Maeda, Masaya 6 Noja, Diego 6 Posilicano, Andrea 6 Spohn, Herbert 5 Kapanadze, David 5 Kowalczyk, Michał 5 Mantile, Andrea 5 Martel, Yvan 5 Pelinovsky, Dmitry Efimovich 4 Cimrák, Ivan 4 Deugoue, Gabriel 4 Figotin, Alexander 4 Maslov, Viktor Pavlovich 4 Shafarevich, Andreĭ Igorevich 4 Tachim Medjo, Theodore 4 Vaĭnberg, Boris Rufimovich 4 Zhevandrov, Peter N. 3 Adami, Riccardo 3 Bambusi, Dario 3 Cacciapuoti, Claudio 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 Mashkin, Timur 3 Ortner, Norbert 3 Rabinovich, Vladimir Samuilovich 3 Radkevich, Evgeniĭ Vladimirovich 3 Slodička, Marián 3 Teschl, Gerald 3 Villalba-Vega, T. J. 2 Babin, Anatoli V. 2 Bao, Weizhu 2 Bauer, Gernot 2 Cai, Yongyong 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 Goudon, Thierry 2 Hennig, Dirk 2 Inoue, Atsushi 2 Jahan, Akbar 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 Prill, Oskar 2 Rozovskii, Boris L. 2 Sango, Mamadou 2 Schenker, Jeffrey H. 2 Shimabukuro, Yusuke 2 Sini, Mourad 2 Snelson, Stanley 2 Speck, Frank-Olme 2 Stefanov, Atanas G. 2 Stuart, David M. A. 2 Teta, Alessandro 2 Tsaava, Medea 2 Vasil’eva, Ol’ga Aleksandrovna 2 Vicol, Vlad C. 2 Vishik, Marko Iosifovich 2 Vivion, Léo 2 Wagner, Peter 2 Wang, Tingchun 2 Yao, Xiaohua 2 Yin, Jia 1 Aafarani, Maha 1 Abrahams, I. David 1 Ado, I. A. 1 Al-Shudeifat, Mohammad A. 1 Alammari, Mashael 1 Albeverio, Sergio A. 1 Alimov, Alexey R. ...and 209 more Authors all top 5 Cited in 124 Serials 19 Journal of Mathematical Analysis and Applications 18 Russian Journal of Mathematical Physics 17 Journal of Mathematical Physics 10 Communications in Mathematical Physics 9 Journal of Mathematical Sciences (New York) 8 Communications in Partial Differential Equations 7 Archive for Rational Mechanics and Analysis 7 Mathematical Methods in the Applied Sciences 7 Journal of Differential Equations 7 Journal of Functional Analysis 7 Journal of Soviet Mathematics 6 Applicable Analysis 6 Mathematical Notes 6 Physics Letters. A 6 Physica D 6 Discrete and Continuous Dynamical Systems 5 Russian Mathematical Surveys 5 Theoretical and Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 4 Letters in Mathematical Physics 4 Applied Mathematics and Computation 4 Nonlinear Analysis. 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Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Journal of Hyperbolic Differential Equations ...and 24 more Serials all top 5 Cited in 41 Fields 242 Partial differential equations (35-XX) 68 Quantum theory (81-XX) 49 Dynamical systems and ergodic theory (37-XX) 44 Optics, electromagnetic theory (78-XX) 36 Statistical mechanics, structure of matter (82-XX) 34 Operator theory (47-XX) 33 Fluid mechanics (76-XX) 29 Probability theory and stochastic processes (60-XX) 23 Ordinary differential equations (34-XX) 16 Numerical analysis (65-XX) 14 Mechanics of particles and systems (70-XX) 10 Difference and functional equations (39-XX) 10 Functional analysis (46-XX) 9 Integral equations (45-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year