2023 |
Копылова Е.А., Комеч А.И., On the Stability of Solitons for the Maxwell-Lorentz equations with rotating particle, Milan Journal of Mathematics 91 (2023),155-173.
|
Копылова Е.А., Комеч А.И., On the Hamilton-Poisson structure and solitons for the Maxwell- Lorentz equations with spinning particle, J. Math. Anal. Appl 522 (2023), no. 2, 126976.
|
2022 |
Копылова Е.А., Teschl G., Scattering properties and dispersion estimates for a one-dimensional discrete Dirac equation. Mathematische Nachrichten 295 (2022), no. 44, 762-784.
|
Копылова Е.А., Global attractor for 3D Dirac equation with nonlinear point interaction, Nonlin- ear Differential Equations and Applications 29 (2022), no. 3, 1-44.
|
Копылова Е.А., Комеч А.И., On global attractors for 2D damped driven non- linear Schr ̈odinger equations. Applicable Analysis 101 (2022), no. 15, 5490-5503.
|
Копылова Е.А., Klein-Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves. Nonlinearity 35 (2022), no. 7, 3593-3629.
|
Копылова Е.А., On dispersive estimates for one-dimensional Klein-Gordon equations,
Asymptotic Analysis. 127 (2022) n. 1-2, 1-13.
|
2021 |
Копылова Е.А., Комеч А.И., Attractors of Hamiltonian Nonlinear Partial Differential Equations,
2021, Cambridge University Press. 200 pp. (Cambridge tracts in mathematics).
|
Копылова Е.А., Комеч А.А., On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator,
Comm. Pure Appl. Anal., 20 (2021), no. 6, 2187-2209.
|
2020 |
Копылова Е.А., Комеч А.И., Attractors of Hamilton nonlinear partial differential equation,
Russian Math. Surveys, 75 (2020), no. 1, 1--87.
|
2019 |
Копылова Е.А., Комеч А.И., Global attractor for 1D Dirac field coupled to nonlinear oscillator,
Comm. Math. Physics, 375 (2020), 573-603.
|
Копылова Е.А., Комеч А.И., On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities,
Dynamics of PDEs, 16 (2019), no. 2, 105-124.
|
2018 |
Копылова Е.А., On dispersion decay for 3D Klein-Gordon equation,
Discrete and Continuous Dynamical Systems-A, 38 (2018) no. 11. 5765-5780.
|
Копылова Е.А., Комеч А.И., On the dispersion decay for crystals in the linearized Schr\"odinger--Poisson model,
J. Math. Anal. Appl., 464 (2018), no.1, 864--882.
|
Копылова Е.А., On global attraction to stationary states for wave equations with concentrated nonlinearities,
J. Dynamics and Differential Equations., 30, (2018), no. 1, pp 107--116.
|
Копылова Е.А., Комеч А.И., On orbital stability of ground states for finite crystals in fermionic Schroedinger-Poisson model.
SIAM J. Math. Anal., 50 (2018), no. 1, 64--85.
|
Копылова Е.А., Комеч А.И., Spohn H., On global attractors and radiation damping for nonrelativistic particle
coupled to scalar field, St. Petersburg Math. J., 29 (2018), no.2, 249--266.
|
2017 |
Копылова Е.А., On global attraction to solitary waves for the Klein -Gordon equation with concentrated nonlinearity,
Nonlinearity, 30 (2017), no. 11, 4191-4207.
|
Копылова Е.А., Комеч А.И., On stability of ground states for finite crystals in the Schroedinger-Poisson model.
J. Math. Phys., 58 (2017), no. 3, 031902, 18 pp.
|
2016 |
Копылова Е.А., Комеч А.И., On the linear stability of crystals in the Schroedinger-Poisson model.
J. Stat. Phys., 165 (2016), no. 2, 246-273.
|
Копылова Е.А., Egorova I., Marchenko V., Teschl G., On the dispersion estimates for the one-dimensional
Schroedinger and Klein-Gordon equations. Revizited.
Russian Math. Surveys, 71 (2016), no. (429), 391-415.
|
Копылова Е.А., On global well-posedness for Klein-Gordon equation with concentrated nonlinearity.
J. Math. Anal. Appl., 443 (2016), no. 2, 1142-1157.
|
Копылова Е.А., Комеч А.И., Asymptotic stability of stationary states in wave equation
coupled to nonrelativistic particle,
Russ. J. Math. Phys., 23 (2016), no. 1, 93-100.
|
Копылова Е.А., Dispersion estimates for one-dimensional discrete Dirac equations,
J. Math. Anal. Appl., 434 (2016), no. 1, 191-208.
|
2015 |
Копылова Е.А., Egorova I., Teschl G., Dispersion estimates for one-dimensional discrete Schroedinger
and wave equations, J. Spectr. Theory, 5 (2015), no. 4, 663-696.
|
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.
|