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Komech, Alexander Ilich

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Author ID: komech.alexander-ilich Recent zbMATH articles by "Komech, Alexander Ilich"
Published as: Komech, A. I.; Komech, Alexander; Komech, Alexander I.; Komech, A.; Komec, A. I.; Komech, Alexander Ilich; Komech, Aleksandr I.
Homepage: http://mech.math.msu.su/~piter/KOMECH.HTM
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Co-Authors

30 single-authored
32 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, N. E.
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 Éskin, G. I.
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 Trudy Seminara Imeni I. G. Petrovskogo
5 Archive for Rational Mechanics and Analysis
5 Communications in Mathematical Physics
5 Journal of Mathematical Analysis and Applications
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 Journal of Functional Analysis
3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Markov Processes and Related Fields
2 Applicable Analysis
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

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 820 times in 318 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
32
1997
Some mathematical problems of statistical hydromechanics. Zbl 0503.76045
Vishik, M. I.; Komech, A. I.; Fursikov, A. V.
30
1979
Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations. Zbl 1121.39015
Komech, A. I.; Kopylova, E. A.; Kunze, M.
29
2006
Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149
Komech, Alexander; Spohn, Herbert
28
2000
On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054
Imaikin, Valery; Komech, Alexander; Vainberg, Boris
26
2006
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.
26
2008
Dispersion decay and scattering theory. Zbl 1317.35162
Komech, Alexander; Kopylova, Elena
22
2012
Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022
Komech, Alexander; Komech, Andrew
21
2010
On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180
Komech, A. I.; Mauser, N. J.; Merzon, A. E.
20
2005
On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146
Kopylova, E.; Komech, A. I.
19
2011
Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003
Komech, Alexander; Komech, Andrew
19
2007
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201
Komech, Alexander; Komech, Andrew
17
2009
On stabilization of string-nonlinear oscillator interaction. Zbl 0859.35076
Komech, Alexander I.
17
1995
Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010
Komech, Alexander; Kunze, Markus; Spohn, Herbert
16
1999
Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046
Komech, Alexander; Spohn, Herbert
15
1998
On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
15
2003
On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134
Kopylova, E. A.; Komech, A. I.
14
2011
Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132
Imaikin, Valery; Komech, Alexander; Mauser, Norbert
14
2004
On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352
Komech, Alexander; Kopylova, Elena; Stuart, David
14
2012
Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
13
2004
On two-temperature problem for harmonic crystals. Zbl 1061.82002
Dudnikova, T. V.; Komech, A. I.; Mauser, N. J.
12
2004
On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124
Komech, Alexander; Komech, Andrew
12
2010
Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
11
2004
Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040
Komech, A.; Kopylova, E.
11
2006
Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023
Komech, A. I.; Kopylova, E. A.
11
2010
Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134
Komech, A. I.; Kopylova, E. A.
11
2010
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.
10
2002
On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030
Komech, Alexander
10
1999
Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112
Komech, A. I.; Merzon, A. E.
10
2006
Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002
Imaykin, Valery; Komech, Alexander; Spohn, Herbert
10
2011
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
9
2003
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
On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005
Joly, Patrick; Komech, Alexander; Vacus, Olivier
8
2000
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
Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301
Imaikin, V.; Komech, A.; Spohn, H.
8
2002
On the stabilization of interaction of a string with a nonlinear oscillator. Zbl 0784.35011
Komech, A. I.
8
1991
Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
8
2012
Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228
Komech, A. I.; Kopylova, E. A.; Spohn, H.
8
2011
Quantum mechanics: Genesis and achievements. Zbl 1264.81005
Komech, Alexander
7
2013
Scattering in the nonlinear Lamb system. Zbl 1228.81264
Komech, A. I.; Merzon, A. E.
7
2009
Linear partial differential equations with constant coefficients. Zbl 0805.35001
Komech, A. I.
7
1988
Elliptic boundary value problems on manifolds with a piecewise smooth boundary. Zbl 0291.35033
Komec, A. I.
7
1974
On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034
Dudnikova, T. V.; Komech, A. I.
7
2006
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
Dispersive decay for the magnetic Schrödinger equation. Zbl 1259.35172
Komech, A. I.; Kopylova, E. A.
7
2013
Attractors of Hamilton nonlinear PDEs. Zbl 1382.35049
Komech, Alexander
7
2016
On the convergence to a statistical equilibrium in the crystal coupled to a scalar field. Zbl 1189.81282
Dudnikova, T. V.; Komech, A. I.
6
2005
On a two-temperature problem for wave equation. Zbl 1074.82001
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
6
2002
On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R.
6
2008
Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075
Vishik, M. I.; Komech, A. I.
6
1981
Attraction to solitons in relativistic nonlinear wave equations. Zbl 1186.35222
Komech, A. I.; Mauser, N. J.; Vinnichenko, A. P.
5
2004
On the crystal ground state in the Schrödinger-Poisson model. Zbl 1326.35086
Komech, A. I.
5
2015
On the completeness of Ursell’s trapping modes. Zbl 0914.76013
Komech, Alexander I.; Merzon, Anatolij E.; Zhevandrov, Peter N.
5
1996
Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057
Komech, A. I.; Merzon, A. E.
5
2007
On eigenfunction expansion of solutions to the Hamilton equations. Zbl 1300.34195
Komech, A.; Kopylova, E.
5
2014
Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092
Komech, A. I.; Komech, A. A.
5
2007
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 stabilization of string-oscillator interaction. Zbl 0964.35528
Komech, Alexander I.
4
1995
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
Linear partial differential equations with constant coefficients. Zbl 0686.35003
Komech, A. I.
4
1988
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
On the eigenfunction expansion for Hamilton operators. Zbl 1327.35266
Komech, Alexander; Kopylova, Elena
4
2015
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
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
On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037
Komech, A. A.; Komech, A. I.
3
2013
Breathers for a relativistic nonlinear wave equation. Zbl 1024.35076
Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander
3
2002
Elliptic boundary value problems for pseudodifferential operators on manifolds. with canical points. Zbl 0227.35040
Komech, A. I.
3
1971
On metastable regimes in stochastic Lamb system. Zbl 1111.82026
Freidlin, M. I.; Komech, A. I.
3
2006
Principles of partial differential equations. Zbl 1275.35001
Komech, Alexander; Komech, Andrew
3
2009
On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200
Komech, A. I.; Merzon, A. E.
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
On the linear stability of crystals in the Schrödinger-Poisson model. Zbl 1358.35172
Komech, Alexander; Kopylova, Elena
3
2016
Stabilization of space-time stochastic solutions of a wave equation. Zbl 0741.60025
Komech, A. I.; Ratanov, N. E.
3
1989
On asymptotic completeness of scattering in the nonlinear Lamb system. II. Zbl 1280.81140
Komech, A. I.; Merzon, A. E.
3
2013
Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001
Komech, Aleksandr I.; Kopylova, Elena A.
3
2020
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.
3
2015
Infinite-dimensional parabolic equations connected with stochastic partial differential equations. Zbl 0389.60046
Vishik, M. I.; Komech, A. I.
3
1977
On the crystal ground state in the Schrödinger-Poisson model with point ions. Zbl 1352.35137
Komech, A. I.
3
2016
On transitions to stationary states in Hamiltonian nonlinear wave equations. Zbl 0947.35094
Komech, Alexander
2
1998
On stability of ground states for finite crystals in the Schrödinger-Poisson model. Zbl 1362.82049
Komech, A.; Kopylova, E.
2
2017
Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points. Zbl 0248.35043
Komec, A. I.
2
1972
Ergodic properties of hyperbolic equations with mixing. Zbl 0894.60059
Dudnikova, T. V.; Komech, A. I.
2
1996
Attractors of nonlinear Hamiltonian one-dimensional wave equations. Zbl 0958.37058
Komech, A. I.
2
2000
On nonlinear wave equations with parabolic potentials. Zbl 1295.35063
Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A.
2
2013
General boundary value problems in region with corners. Zbl 0900.35111
Komech, A. I.; Merzon, A. E.
2
1992
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 dynamical justification of quantum scattering cross section. Zbl 1330.35362
Komech, Alexander
2
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.
2
2015
Stationary diffraction by wedges. Method of automorphic functions on complex characteristics. Zbl 1431.35028
Komech, Alexander; Merzon, Anatoli
2
2019
On stabilization of interaction of a string with a nonlinear oscillator. Zbl 0761.35011
Komech, A. I.
1
1991
Strong solution of a two-dimensional stochastic Navier-Stokes system and the corresponding Kolmogorov equation. Zbl 0512.60050
Vishik, M. I.; Komech, A. I.
1
1982
On a stochastic Navier-Stokes system and the corresponding Kolmogorov equations. Zbl 0513.35071
Vishik, M. I.; Komech, A. I.
1
1981
Elliptic differential equations with constant coefficients in a cone. Zbl 0283.35032
Komec, A. I.
1
1974
On soliton-like asymptotics for 1D nonlinear reaction systems. Zbl 0910.35110
Fleckinger, Jacqueline; Komech, Alexander
1
1997
On large deviations of solutions of nonlinear stochastic equations. Zbl 0675.60022
Imajkin, V. M.; Komech, A. I.
1
1988
On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109
Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert
1
2015
Weighted energy decay for magnetic Klein-Gordon equation. Zbl 1311.35028
Komech, A. I.; Kopylova, E. A.
1
2015
Attractors of Hamiltonian nonlinear partial differential equations. Zbl 1481.37001
Komech, Alexander; Kopylova, Elena
1
2022
Global attractor for 1D Dirac field coupled to nonlinear oscillator. Zbl 1437.35600
Kopylova, Elena; Komech, Alexander
4
2020
Attractors of nonlinear Hamiltonian partial differential equations. Zbl 1439.35001
Komech, Aleksandr I.; Kopylova, Elena A.
3
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 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
7
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.
5
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 eigenfunction expansion for Hamilton operators. Zbl 1327.35266
Komech, Alexander; Kopylova, Elena
4
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.
3
2015
On dynamical justification of quantum scattering cross section. Zbl 1330.35362
Komech, Alexander
2
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.
2
2015
On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109
Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert
1
2015
Weighted energy decay for magnetic Klein-Gordon equation. Zbl 1311.35028
Komech, A. I.; Kopylova, E. A.
1
2015
On the Hartree-Fock dynamics in wave-matrix picture. Zbl 1330.35361
Komech, A. I.
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
7
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
22
2012
On asymptotic stability of solitons in a nonlinear Schrödinger equation. Zbl 1282.35352
Komech, Alexander; Kopylova, Elena; Stuart, David
14
2012
Scattering of solitons for coupled wave-particle equations. Zbl 1235.35068
Imaykin, Valery; Komech, Alexander; Vainberg, Boris
8
2012
On asymptotic stability of kink for relativistic Ginzburg-Landau equations. Zbl 1256.35146
Kopylova, E.; Komech, A. I.
19
2011
On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. Zbl 1209.35134
Kopylova, E. A.; Komech, A. I.
14
2011
Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002
Imaykin, Valery; Komech, Alexander; Spohn, Herbert
10
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
21
2010
On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124
Komech, Alexander; Komech, Andrew
12
2010
Weighted energy decay for 3D Klein-Gordon equation. Zbl 1185.35023
Komech, A. I.; Kopylova, E. A.
11
2010
Weighted energy decay for 1D Klein-Gordon equation. Zbl 1190.35134
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
17
2009
Scattering in the nonlinear Lamb system. Zbl 1228.81264
Komech, A. I.; Merzon, A. E.
7
2009
Principles of partial differential equations. Zbl 1275.35001
Komech, Alexander; Komech, Andrew
3
2009
On asymptotic completeness for scattering in the nonlinear Lamb system. Zbl 1202.81200
Komech, A. I.; Merzon, A. E.
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.
26
2008
On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. Zbl 1148.35087
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R.
6
2008
Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008
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
19
2007
Relation between Cauchy data for the scattering by a wedge. Zbl 1185.35057
Komech, A. I.; Merzon, A. E.
5
2007
Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092
Komech, A. I.; Komech, A. A.
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.
29
2006
On scattering of solitons for the Klein-Gordon equation coupled to a particle. Zbl 1127.35054
Imaikin, Valery; Komech, Alexander; Vainberg, Boris
26
2006
Scattering of solitons for the Schrödinger equation coupled to a particle. Zbl 1118.35040
Komech, A.; Kopylova, E.
11
2006
Limiting amplitude principle in the scattering by wedges. Zbl 1106.35112
Komech, 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 1096.35020
Komech, Alexander I.; Komech, Andrew A.
8
2006
On a two-temperature problem for the Klein–Gordon equation. Zbl 1119.82034
Dudnikova, T. V.; Komech, A. I.
7
2006
On metastable regimes in stochastic Lamb system. Zbl 1111.82026
Freidlin, M. I.; Komech, A. I.
3
2006
On Sommerfeld representation and uniqueness in scattering by wedges. Zbl 1072.35180
Komech, A. I.; Mauser, N. J.; Merzon, A. E.
20
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.
6
2005
Soliton-type asymptotics for the coupled Maxwell-Lorentz equations. Zbl 1067.35132
Imaikin, Valery; Komech, Alexander; Mauser, Norbert
14
2004
Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
13
2004
On two-temperature problem for harmonic crystals. Zbl 1061.82002
Dudnikova, T. V.; Komech, A. I.; Mauser, N. J.
12
2004
Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
11
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.
15
2003
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
9
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.
10
2002
Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301
Imaikin, V.; Komech, A.; Spohn, H.
8
2002
On a two-temperature problem for wave equation. Zbl 1074.82001
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
6
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 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
3
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
28
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.
2
2000
Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010
Komech, Alexander; Kunze, Markus; Spohn, Herbert
16
1999
On transitions to stationary states in one-dimensional nonlinear wave equations. Zbl 0939.35030
Komech, 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 0946.35001
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
15
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
32
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.
5
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.
17
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.
8
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.
7
1988
Linear partial differential equations with constant coefficients. Zbl 0686.35003
Komech, A. I.
4
1988
On large deviations of solutions of nonlinear stochastic equations. Zbl 0675.60022
Imajkin, 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 0495.35056
Vishik, M. I.; Komech, A. I.
2
1982
Strong solution of a two-dimensional stochastic Navier-Stokes system and the corresponding Kolmogorov equation. Zbl 0512.60050
Vishik, M. I.; Komech, A. I.
1
1982
Individual and statistical solutions of the two-dimensional Euler system. Zbl 0503.35075
Vishik, M. I.; Komech, A. I.
6
1981
...and 9 more Documents
all top 5

Cited by 302 Authors

55 Komech, Alexander Ilich
37 Kopylova, Elena A.
19 Dudnikova, Tat’yana V.
15 Merzon, Anatolĭ E.
11 Comech, Andrew
7 Muñoz, Claudio
7 Soffer, Avraham
6 Pinheiro de Castro, Luís Filipe
6 de la Paz Méndez, José Eligio
6 Imaikin, Valery
6 Noja, Diego
6 Spohn, Herbert
5 Cuccagna, Scipio
5 Kapanadze, David
5 Kowalczyk, Michał
5 Martel, Yvan
5 Pelinovsky, Dmitry Efimovich
5 Posilicano, Andrea
4 Cimrák, Ivan
4 Figotin, Alexander
4 Maeda, Masaya
4 Mantile, Andrea
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 Deugoue, Gabriel
3 Duduchava, Roland
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 Dürr, Detlef
2 Egorova, Iryna
2 Erbts, Patrick
2 Finco, Domenico
2 Freidlin, Mark I.
2 Gishlarkaev, Vakha I.
2 Hennig, Dirk
2 Imaykin, V. M.
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 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 Wagner, Peter
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.
1 Allwright, D. J.
1 Anikin, A. Yu.
1 Assier, Raphaël C.
1 Avantaggiati, Antonio
1 Azzali, Sara
1 Babich, Vasiliĭ Mikhaĭlovich
...and 202 more Authors
all top 5

Cited in 119 Serials

18 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 Discrete and Continuous Dynamical Systems
5 Russian Mathematical Surveys
5 Theoretical and Mathematical Physics
5 Physica D
5 SIAM Journal on Mathematical Analysis
4 Letters in Mathematical Physics
4 Applied Mathematics and Computation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Transactions of the American Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 St. Petersburg Mathematical Journal
4 Journal of Spectral Theory
4 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Statistical Physics
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 Acta Applicandae Mathematicae
3 Applied Numerical Mathematics
3 Annales Henri Poincaré
3 Proceedings of the Steklov Institute of Mathematics
2 Computers & Mathematics with Applications
2 Inverse Problems
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Reviews in Mathematical Physics
2 The Annals of Probability
2 Proceedings of the American Mathematical Society
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Stochastic Analysis and Applications
2 Georgian Mathematical Journal
2 Doklady Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Lobachevskii Journal of Mathematics
2 Communications on Pure and Applied Analysis
2 Communications in Mathematical Analysis
2 Evolution Equations and Control Theory
1 Classical and Quantum Gravity
1 Computer Methods in Applied Mechanics and Engineering
1 Journal d’Analyse Mathématique
1 Moscow University Physics Bulletin
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Theoretical and Computational Fluid Dynamics
1 Acta Mathematica
1 Applied Mathematics and Optimization
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Meccanica
1 Proceedings of the Japan Academy. Series A
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Siberian Mathematical Journal
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annales de l’Institut Henri Poincaré. 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 Stochastic Processes and their Applications
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 NoDEA. Nonlinear Differential Equations and Applications
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. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 New Journal of Physics
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Differential Equations
1 Advanced Nonlinear Studies
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Journal of Hyperbolic Differential Equations
1 Foundations of Physics
1 Boundary Value Problems
...and 19 more Serials
all top 5

Cited in 40 Fields

232 Partial differential equations (35-XX)
65 Quantum theory (81-XX)
47 Dynamical systems and ergodic theory (37-XX)
42 Optics, electromagnetic theory (78-XX)
35 Statistical mechanics, structure of matter (82-XX)
34 Operator theory (47-XX)
31 Fluid mechanics (76-XX)
28 Probability theory and stochastic processes (60-XX)
23 Ordinary differential equations (34-XX)
14 Numerical analysis (65-XX)
14 Mechanics of particles and systems (70-XX)
10 Functional analysis (46-XX)
9 Difference and functional equations (39-XX)
9 Integral equations (45-XX)
7 Mechanics of deformable solids (74-XX)
6 Harmonic analysis on Euclidean spaces (42-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 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 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year