Kopylova, Elena Klein-Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves. (English) Zbl 1492.35167 Nonlinearity 35, No. 7, 3593-3629 (2022). MSC: 35L71 35B35 35B40 35C08 47F05 PDFBibTeX XMLCite \textit{E. Kopylova}, Nonlinearity 35, No. 7, 3593--3629 (2022; Zbl 1492.35167) Full Text: DOI
Kopylova, Elena Global attractor for 3D Dirac equation with nonlinear point interaction. (English) Zbl 1485.35055 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022). MSC: 35B40 35B41 35Q41 PDFBibTeX XMLCite \textit{E. Kopylova}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022; Zbl 1485.35055) Full Text: DOI
Komech, Aleksandr I.; Kopylova, Elena A. Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original) Zbl 1439.35001 Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020). MSC: 35-02 35B41 35B40 35C08 35L71 35B06 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Russ. Math. Surv. 75, No. 1, 1--87 (2020; Zbl 1439.35001); translation from Usp. Mat. Nauk 75, No. 1, 3--94 (2020) Full Text: DOI arXiv
Kopylova, Elena; Komech, Alexander Global attractor for 1D Dirac field coupled to nonlinear oscillator. (English) Zbl 1437.35600 Commun. Math. Phys. 375, No. 1, 573-603 (2020). MSC: 35Q41 35B41 35C08 35B40 42A38 35B32 35B05 35P30 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI arXiv
Komech, A.; Kopylova, E.; Spohn, H. On global attractors and radiation damping for nonrelativistic particle coupled to scalar field. (English. Russian original) Zbl 1387.35563 St. Petersbg. Math. J. 29, No. 2, 249-266 (2018); translation from Algebra Anal. 29, No. 2, 34-58 (2017). MSC: 35Q60 78A40 78M35 PDFBibTeX XMLCite \textit{A. Komech} et al., St. Petersbg. Math. J. 29, No. 2, 249--266 (2018; Zbl 1387.35563); translation from Algebra Anal. 29, No. 2, 34--58 (2017) Full Text: DOI arXiv
Kopylova, E. A.; Komech, A. I. Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle. (English) Zbl 1342.81642 Russ. J. Math. Phys. 23, No. 1, 93-100 (2016). MSC: 81U05 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Russ. J. Math. Phys. 23, No. 1, 93--100 (2016; Zbl 1342.81642) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for magnetic Klein-Gordon equation. (English) Zbl 1311.35028 Appl. Anal. 94, No. 2, 218-232 (2015). MSC: 35B40 35L10 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Appl. Anal. 94, No. 2, 218--232 (2015; Zbl 1311.35028) Full Text: DOI arXiv
Komech, A.; Kopylova, E. On eigenfunction expansion of solutions to the Hamilton equations. (English) Zbl 1300.34195 J. Stat. Phys. 154, No. 1-2, 503-521 (2014). Reviewer: Zaki El Mehi (Alexandria) MSC: 34L10 83A05 34A30 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, J. Stat. Phys. 154, No. 1--2, 503--521 (2014; Zbl 1300.34195) Full Text: DOI arXiv
Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. On nonlinear wave equations with parabolic potentials. (English) Zbl 1295.35063 J. Spectr. Theory 3, No. 4, 485-503 (2013). MSC: 35B35 37K40 35L71 35C08 35Q56 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Spectr. Theory 3, No. 4, 485--503 (2013; Zbl 1295.35063) Full Text: DOI arXiv
Kopylova, E. A. Asymptotic stability of solitons for nonlinear hyperbolic equations. (English. Russian original) Zbl 1275.35069 Russ. Math. Surv. 68, No. 2, 283-334 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 91-144 (2013). Reviewer: Marie Kopáčková (Praha) MSC: 35C08 35L71 35Q56 35B40 37K40 35B35 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Russ. Math. Surv. 68, No. 2, 283--334 (2013; Zbl 1275.35069); translation from Usp. Mat. Nauk. 68, No. 2, 91--144 (2013) Full Text: DOI
Kopylova, E.; Komech, A. I. On asymptotic stability of kink for relativistic Ginzburg-Landau equations. (English) Zbl 1256.35146 Arch. Ration. Mech. Anal. 202, No. 1, 213-245 (2011). MSC: 35Q56 35Q75 83A05 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. I. Komech}, Arch. Ration. Mech. Anal. 202, No. 1, 213--245 (2011; Zbl 1256.35146) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A.; Spohn, H. Scattering of solitons for Dirac equation coupled to a particle. (English) Zbl 1229.35228 J. Math. Anal. Appl. 383, No. 2, 265-290 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q51 35C08 34L40 37J10 37M15 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Math. Anal. Appl. 383, No. 2, 265--290 (2011; Zbl 1229.35228) Full Text: DOI arXiv
Kopylova, E. A.; Komech, A. I. On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. (English) Zbl 1209.35134 Commun. Math. Phys. 302, No. 1, 225-252 (2011). MSC: 35Q56 35Q75 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Commun. Math. Phys. 302, No. 1, 225--252 (2011; Zbl 1209.35134) Full Text: DOI arXiv
Kopylova, E. A. Dispersive estimates for the 2D wave equation. (English) Zbl 1251.35103 Russ. J. Math. Phys. 17, No. 2, 226-239 (2010). MSC: 35Q41 35B40 35L05 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 17, No. 2, 226--239 (2010; Zbl 1251.35103) Full Text: DOI
Kopylova, E. A. On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1207.39021 Appl. Anal. 89, No. 9, 1467-1492 (2010). Reviewer: Fei Xue (Hartford) MSC: 39A30 39A14 39A12 35Q40 81Q05 37K10 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Appl. Anal. 89, No. 9, 1467--1492 (2010; Zbl 1207.39021) Full Text: DOI
Kopylova, E. A.; Komech, A. I. Long time decay for 2D Klein-Gordon equation. (English) Zbl 1192.35151 J. Funct. Anal. 259, No. 2, 477-502 (2010). MSC: 35Q53 35Q40 81Q05 35B40 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, J. Funct. Anal. 259, No. 2, 477--502 (2010; Zbl 1192.35151) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI
Kopylova, E. A. Weighted energy decay for 1D wave equation. (English) Zbl 1191.35060 J. Math. Anal. Appl. 366, No. 2, 494-505 (2010). Reviewer: Marie Kopáčková (Praha) MSC: 35B40 35L05 35L15 PDFBibTeX XMLCite \textit{E. A. Kopylova}, J. Math. Anal. Appl. 366, No. 2, 494--505 (2010; Zbl 1191.35060) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 3D Klein-Gordon equation. (English) Zbl 1185.35023 J. Differ. Equations 248, No. 3, 501-520 (2010). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35B40 35L15 47A40 35J10 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Differ. Equations 248, No. 3, 501--520 (2010; Zbl 1185.35023) Full Text: DOI arXiv
Kopylova, E. A. On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1167.35515 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3031-3046 (2009). MSC: 35Q55 37K40 39A12 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 3031--3046 (2009; Zbl 1167.35515) Full Text: DOI
Kopylova, E. A. Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator. (English) Zbl 1186.35205 Russ. J. Math. Phys. 15, No. 4, 487-492 (2008). MSC: 35Q55 35C08 35B40 35B35 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 15, No. 4, 487--492 (2008; Zbl 1186.35205) Full Text: DOI arXiv
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv
Komech, A.; Kopylova, E. Scattering of solitons for the Schrödinger equation coupled to a particle. (English) Zbl 1118.35040 Russ. J. Math. Phys. 13, No. 2, 158-187 (2006). Reviewer: Wuquing Ning (Tokyo) MSC: 35Q40 81Q05 81U15 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, Russ. J. Math. Phys. 13, No. 2, 158--187 (2006; Zbl 1118.35040) Full Text: DOI arXiv