Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle,
{\em Russ. J. Math. Phys.} {\bf 23} (2016), no. 1, 93-100. arXiv:1511.08680 Загрузить (476.3 KB)
B.M. Gurevich & S.A. Komech, "Entropy, Lyapunov exponents and the boundary deformation rate under the action of hyperbolic dynamical systems",
Journal of Difference Equations and Applications, Volume 22, Issue 1, pages 140-146.
On uniqueness and stability of Sobolev’s solution in scattering by wedges,
{\em Zeitschrift f\"ur angewandte Mathematik und Physik},
{\bf 66} (2015), no. 5, 2485-2498.
Co-authored by A.E. Merzon, J.E. De la Paz Mendez. Загрузить (875.4 KB)
On the Keller-Blank solution to the scattering problem of pulses by wedges,
{\em Mathematical Methods in Applied Sciences},
{\bf 38} (2015), no. 10, 2035-2040. Загрузить (134.2 KB)
On the crystal ground state in the Schr\"odinger-Poisson model, {\em SIAM J. Math. Anal} {\bf 47} (2015), no.2, 1001-1021. arXiv:1310.3084 Загрузить (249.5 KB)
Solvability of linear differential systems with small exponents in the Liouvillian sense, Arnold Math. J., 2015, V. 1(4), P. 445-471. Загрузить (584.8 KB)
On spectral stability of the nonlinear Dirac equation.
http://arXiv.org/abs/1211.3336 Перейти к публикации
2015 г.
Авторы: Куевас-Маравер Й., Кеврекидис П.Г., Саксена А., Купер Ф., Харе А., Комеч А.А., Бендер К.
Solitary waves of a PT-symmetric Nonlinear Dirac equation (with J. Cuevas--Maraver, P.G. Kevrekidis, A. Saxena, F. Cooper, A. Khare, and C. Bender).
Journal of Selected Topics in Quantum Electronics (the IEEE Photonics Society), 22 (2016), no. 5, 1--9. DOI:10.1109/JSTQE.2015.2485607
http://arXiv.org/abs/1508.00852 Перейти к публикации
Asymptotic stability of solitary waves in generalized Gross--Neveu model.
Annales de l"Institute Henri Poincaré (Analyse non linéaire). DOI:10.1016/j.anihpc.2015.11.001
http://dx.doi.org/10.1016/j.anihpc.2015.11.001
http://arXiv.org/abs/1407.0606 Перейти к публикации
Global Attraction to Solitary Waves, chapter in the book Quantization, PDEs, and Geometry. The Interplay of Analysis and Mathematical Physics.
Advances in Partial Differential Equations 251, 117--152.
Birkhäuser, Berlin, 2015.
ISBN 978-3-319-22407-7 Перейти к публикации
Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields
Nonlinearity 28 (2015), 577--592
DOI:10.1088/0951-7715/28/3/577
MR3311594
http://arxiv.org/abs/1306.5150
Перейти к публикации
Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert; On the Lagrangian theory for rotating charge in the Maxwell field. Phys. Lett. A 379 (2015), no. 1-2, 5–10.
On linear instability of solitary waves for the nonlinear Dirac equation
Annales de l"Institute Henri Poincaré (Analyse non linéaire), 31 (2014), 639--654
DOI:10.1016/j.anihpc.2013.06.001
MR3208458
http://arXiv.org/abs/1209.1146
Перейти к публикации
On global attractors of Hamilton nonlinear PDEs, p. 59 in:
Abstracts of The Seventh International Conference
on Differential and Functional Differential Equations
Moscow, Russia, August 22–29, 2014.
Перейти к публикации
On global attractors of Hamilton nonlinear PDEs,
International conference "Stochastic and PDE Methods in Mathematical Physics",
15-17 September 2014,
Paris, University of Paris-Diderot Перейти к публикации
On eigenfunction expansion of solutions to the Hamilton equations, J. Stat. Phys. 154 (2014), no.
1-2, 503-521. arXiv:1308.0485. Co-authored by E. Kopylova. DOI 10.1007/s10955-013-0846-1
Polarons as stable solitary wave solutions to the Dirac-Coulomb system
Journal of Physics A: Mathematical and Theoretical 46 (2013) 435201 (21pp)
DOI:10.1088/1751-8113/46/43/435201
MR3118823
http://arXiv.org/abs/1207.2870
Перейти к публикации
A variant of the Titchmarsh convolution theorem for distributions on the circle, Funktsional.
Anal. i Prilozhen. 47 (2013), no. 1, 26–32. [Russian] ; English translation in Funct. Anal. Appl.
47 (2013), no. 1, 21-26. Co-authored by A.A. Komech.
5th St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh. Birman,
July 2-6, 2013, Euler Institute, Saint-Petersburg, Russia.
Title: On spectral resolution and eigenfunction expansions for Hamilton operators.
http://www.pdmi.ras.ru/EIMI/2013/ST5/programme.pdf
On spectral resolution and eigenfunction expansion for Hamilton operators,
p.11 in: 5 th St.Petersburg conference in Spectral Theory
dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg,
Russia, 2013. Co-authored by A. Komech.
On nonlinear wave equations with parabolic potentials.
Journal of Spectral Theory, 3 (2013), no.4, 485-503. ArXiv 1206.6073.
Co-authored by A. Komech, S. Kopylov.
On the spreading rate of the soliton perturbation for relativistic nonlinear wave equation,
Comm. Math. Analysis, 4 (2013), no. 2, 95-102.
Co-authored by A. Komech,Y. Karlovich, A. Merzon.
On the Titchmarsh convolution theorem for distributions on a circle. Journal of Functional Analysis and Its Applications, 47 (2013), 21--26
DOI:10.1007/s10688-013-0003-2
http://arxiv.org/abs/1108.2463 Перейти к публикации
Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. Discrete and Continuous Dynamical Systems -- Series A 33 (2013), no. 7, 2711--2755.
DOI:10.3934/dcds.2013.33.2711
http://arxiv.org/abs/1203.3233 Перейти к публикации
On asymptotic completeness of scattering in the nonlinear Lamb system II, J. Math. Physics
54(2013), 012702-012710. arXiv:1205.5850
http://dx.doi.org/10.1063/1.4773288
2013 г.
Авторы: Комеч А.И., Копылова Е., Карлович Ю., Мерзон А.
On the spreading rate of the soliton perturbation for relativistic nonlinear wave equation,
accepted in Comm. Math. Analysis 14 (2013), no. 2, 95-102.
Co-authored by E. Kopylova, Yu. Karlovich, A.Merzon.
Dispersive estimates for magnetic Schrodinger and Klein-Gordon equations, 6th European
Congress of Mathematics, Krakow, July 2-7, 2012.
http://www.6ecm.pl/en/programme/posters
Dispersive estimates for magnetic Schroedinger and Klein-Gordon equations, p. 210 in: Abstracts
of International Conference on Differential Equations and Dynamical Systems, Suzdal,
June 29-July 4, 2012.
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