Е.А. Копылова - Публикации

2015

Копылова Е.А., Комеч А.И., On the eigenfunction expansion for Hamilton operators. J. Spectr. Theory 5 (2015), no. 2, 331–361
Копылова Е.А., Комеч A.И., Weighted energy decay for magnetic Klein-Gordon equation. Appl. Anal. 94 (2015), no. 2, 219–233.
Копылова Е.А., Limiting absorption principle for the 1D discrete Dirac equation. Russ. J. Math. Phys. 22 (2015), no. 1, 34–38

2014

Копылова Е.А., On dispersion decay for discrete wave equations. Commun. Math. Anal. 17 (2014), no. 2, 209–216.

2013

Копылова Е.А., 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.
Копылова Е.А., Асимптотическая устойчивость солитонов для нелинейных гиперболических уравнений, УМН, 68 (2013), вып. 2, 91-144 .
Копылова Е.А., 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.
Копылова Е.А., Dispersive estimates for 2D Dirac equation, Asymptotic Analysis, 84 (2013), 35-46.
Копылова Е.А., Dispersive decay for the magnetic Schr"odinger equation, J. Funct. Analysis., 264 (2013), 735-751. ArXiv: 1204.1731. Co-authored by A. Komech.
Копылова Е.А., 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.

2012

Копылова Е.А., Dispersion estimates for magnetic Schroedinger and Klein-Gordon equations. Abstracts, 6-th European Congress of Mathematics. Krakow, Poland, 2012. Co-authored by A. Komech.
Копылова Е.А., Dispersion estimates for magnetic Schr"odinger and Klein-Gordon equations. International Conference on Differential Equations and Dynamical Systems. Abstracts, Suzdal, Russia, 2012. Co-authored by A. Komech.
Копылова Е.А., Dispersion estimates for magnetic Klein-Gordon equation. International Conference "Differential Equations and Application" in honour of Mark Vishik. Abstracts, Moscow, Russia, 2012.
Копылова Е.А., On asymptotic stability of kinks for relativistic Ginzburg-Landau equation. Abstracts, International Workshop "Analysis, Operator Theory, and Mathematical Physics". Ixtapa, Mexico, 2012.
Копылова Е.А., On long time decay for magnetic Schrödinger and Klein-Gordon equations, Proceedings of the Steklov Institute of Mathematics 278 (2012), 121-129.
Копылова Е.А., On asymptotic stability of solitons in a nonlinear Schrödinger equation, Comm. Pure and Applied Analysis 11 (2012), no. 3, 1063-1079. ArXiv: 0807.1878. Co-authored by A. Komech, D. Stuart.
Копылова Е.А., Dispersion Decay and Scattering Theory John Wiley & Sons, Hoboken, NJ, 2012. Co-authored by A. Komech.

2011

Копылова Е.А., On convergence to equilibrium distribution for Dirac equation, Markov Processes Relat. Fields 17 (2011), 523-540. ArXiv: 1201.6221. Co-authored by A. Komech.
Копылова Е.А., On asymptotic stability of kink for relativistic Ginsburg-Landau equation, Arch. Rat. Mech. and Analysis, 202 (2011), no. 2, 213-245. ArXiv: 0910.5539. Co-authored by A. Komech.
Копылова Е.А., On asymptotic stability of moving kink for relativistic Ginsburg-Landau equation, Comm. Math. Phys. 302 (2011), no. 1, 225-252. ArXiv: 0910.5538. Co-authored by A. Komech.
Копылова Е.А., On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 17-18 in: The third St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg, Russia, 2011.
Копылова Е.А., On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 65-66 in: International Conference "Differential Equations and Related Topics" dedicated to I.G. Petrovskii. Abstracts, Moscow, Russia, 2011.
Копылова Е.А., Weighted energy decay for 1D Dirac equation, Dynamics of PDE, 8 (2011) no.2, 113-125.
Копылова Е.А., Scattering of solitons for Dirac equation coupled to a particle, J. Math. Anal. Appl., 383 (2011), 265-290. Co-authored by A. Komech, H. Spohn.
Копылова Е.А., On long-time decay for modified Klein-Gordon equation, Comm. Math. Analysis, Conference 03, 137-152.

2010

Копылова Е.А., Asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 399 in: International Congress of Mathematicians. Abstracts, Hyderabad, India, 2010.
Копылова Е.А., On scattering of kinks for relativistic Ginsburg-Landau equation, p. 218-219 in: International Conference on Differential Equations and Dynamical Systems. Abstracts, Suzdal, Russia, 2010.
Копылова Е.А., Dispersive long-time decay for Klein-Gordon equation, p. 89 in: The International Conference ``Modern Problems of Analysis and Mathematical Education"" dedicated to the 105-th anniversary acad. S.M. Nikol"skogo. Abstracts, Moscow, MSU, 2010. Co-authored by A. Komech.
Копылова Е.А., On decay of the Schr"odinger resolvent, Proceedings of the Steklov Institute of Mathematics, 270 (2010), 165-171.
Копылова Е.А., On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to nonlinear oscillator, Applicable Analysis, 89, (2010), no. 9, 1467-1493.
Копылова Е.А., Dispersive estimates for the 2D wave equation, Russian J. Math. Phys., 17 (2010), no. 2, 226-239.
Копылова Е.А., On dispersive decay for discrete 3D Schr"odinger and Klein-Gordon equations. St. Petersburg Math. J., 21 (2010), no. 5, 87-113.
Копылова Е.А., On asymptotic Stability of kink for relativistic Ginsburg-Landau equation, 8-th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Abstracts, Dresden, Germany (2010) p.320.
Копылова Е.А., Weighted Energy Decay for 1D Klein-Gordon Equation, Comm. PDE, 35 (2010), n.2, p.353-374, Co-authored by A. Komech
Копылова Е.А., Dispersive estimates for the Schredinger and Klein-Gordon equation, Russian Mathematical Survey, 65 (2010), n.1, 95-142.
Копылова Е.А., Long time decay for 2D Klein-Gordon equation, J. Func. Anal. 259} (2010), n.2, p.477-502, Co-authored by A. Komech
Копылова Е.А., Weighted energy decay for 1D wave equation, Journal of Mathematical Analysis and Applications, 366 (2010), n.2, p.494-505
Копылова Е.А., Дисперсионные оценки для уравнений Шредингера и Клейна-Гордона, Успехи мат наук, 65 (2010), n.1 , 97-144
Копылова Е.А., Комеч А.И., Weigted energy decay for 3D Klein-Gordon equation, Journal of Diff.Equations, 248 (2010), n.3, p.501-520.

2009

Kopylova E., Weighted energy decay for 3D wave equation, Asymptotic Analysis, 65 (2009), n.1-2, p.1-16
Kopylova E., On asymptotic stability of kink for relativistic Ginsburg-Landau equation. XVI International Congress on Mathematical Physics. Abstracts, Prague (2009) p.30. Co-authored by A.Komech.
Kopylova E., Dispersive estimates for discrete Schr"odinger and Klein-Gordon equation. The international conference "Modern problems of mathematics, mechanics and their applications" dedicated to the 70-th anniversary of rector MSU acad. V.A.Sadovnichy. Abstracts, Moscow, MSU, 2009, p.250.
Kopylova E., On Asymptoic Stability of Solitary Waves in Discrete Schr"odinger Equation Coupled to Nonlinear Oscillator. Nonlinear Analysis Series A: Theory, Methods and Applications 71, (2009), no.7-8, 3031-3046.

2008

Копылова Е.А., Existence of solitary waves for the discrete Schr"odinger equation coupled to a nonlinear oscillator Russian J. Math. Phys., 15 (2008), no.4, p.486-491.
Копылова Е.А., Scattering of solitons for Schr"odinger equation coupled to a particle. 5th European congress of mathematics, Abstracts, Amsterdam, 2008, p.57-58.
Копылова Е.А., On Asymptoic Stability of Solitary Waves in Nonlinear Discrete Schr"odinger Equation. International conference on differential equation and dynamical systems Abstracts, Suzdal, 2008, p.309.
Копылова Е.А., On Dispersive properties of discrete 2D Schr"odinger and Klein-Gordon equations, J. Func. Anal., 254 (2008), 2227-2254 Co-authored by A.Komech, B.Vainberg
Копылова Е.А., On asymptotic stability of solitary waves for Schr"odinger equations coupled to nonlinear oscillator, Comm.Partial Diff. Eqns, 33 (2008), 669-705, Co-authored by V.Buslaev, A.Komech, D.Stuart.

2007

Копылова Е.А., On asymptotic stability of solitary waves in a nonlinear Schr"odinger equation, Preprint Nr. 37/2007 of Max Planck Institute for Mathematics in the Sciences, Leipzig, 2007. Co-authored by V.S. Buslaev, A.I. Komech, and D. Stuart.

2006

Копылова Е.А., Dispersive estimates for 1D discrete Schr"odinger and Klein-Gordon equations, Applicable Analysis, 85, 2006, no. 12, 1487-1508. Co-authored by A.Komech, M.Kunze.
Копылова Е.А., Scattering of solitons for Schr"odinger equation coupled to a particle, Russian J. Math. Phys., 13, 2006, no. 2, 158-187. Co-authored by Komech A.

2005

Копылова Е.А., On Convergence to Equilibrium Distribution for Schr"odinger Equation.-- Markov Processes and Related Fields, 11, 2005, no. 1, 81-110. Co-authored by Komech A., Mauser N.

2004

Копылова Е.А., On convergence to equilibrium distribution for wave equation in even dimensions. Ergodic Theory and Dynamical Systems, 24, 2004, 547-576. Co-authored by Komech A., Mauser N.

2002

Копылова Е.А., On convergence to equilibrium distribution for Klein-Gordon equation with mixing, Comm.~Math.~Phys.225 (2002), 1-32. Co-authored by T.V.Dudnikova, A.I.Komech and Yu.M.Suhov.