Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 1486.35017 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 PDF BibTeX XML Cite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 1486.35017) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. Kopylova}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 27, 44 p. (2022; Zbl 1485.35055) Full Text: DOI OpenURL
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 07495621 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 PDF BibTeX XML Cite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 07495621) Full Text: DOI OpenURL
Cuccagna, Scipio; Maeda, Masaya A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. (English) Zbl 1475.35313 Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693-1716 (2021). MSC: 35Q55 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693--1716 (2021; Zbl 1475.35313) Full Text: DOI arXiv OpenURL
Comech, Andrew; Kopylova, Elena Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity. (English) Zbl 1478.35080 Commun. Pure Appl. Anal. 20, No. 6, 2187-2209 (2021). MSC: 35C08 35B35 35L15 35L71 PDF BibTeX XML Cite \textit{A. Comech} and \textit{E. Kopylova}, Commun. Pure Appl. Anal. 20, No. 6, 2187--2209 (2021; Zbl 1478.35080) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI arXiv OpenURL
Comech, Andrew Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution. (English) Zbl 1433.37067 Arnold Math. J. 5, No. 2-3, 315-338 (2019). MSC: 37K40 35C05 35Q55 35Q51 PDF BibTeX XML Cite \textit{A. Comech}, Arnold Math. J. 5, No. 2--3, 315--338 (2019; Zbl 1433.37067) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya On stability of small solitons of the 1-D NLS with a trapping delta potential. (English) Zbl 1428.35430 SIAM J. Math. Anal. 51, No. 6, 4311-4331 (2019). MSC: 35Q41 35B35 35C08 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, SIAM J. Math. Anal. 51, No. 6, 4311--4331 (2019; Zbl 1428.35430) Full Text: DOI arXiv OpenURL
Kopylova, Elena On global attraction to stationary states for wave equations with concentrated nonlinearities. (English) Zbl 1406.35175 J. Dyn. Differ. Equations 30, No. 1, 107-116 (2018). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35B25 35B41 35L70 35B40 35J08 PDF BibTeX XML Cite \textit{E. Kopylova}, J. Dyn. Differ. Equations 30, No. 1, 107--116 (2018; Zbl 1406.35175) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Komech, Alexander Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049 Discrete Contin. Dyn. Syst. 36, No. 11, 6201-6256 (2016). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35L70 35Q40 PDF BibTeX XML Cite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI OpenURL
Kopylova, Elena On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. (English) Zbl 1350.35103 J. Math. Anal. Appl. 443, No. 2, 1142-1157 (2016). MSC: 35L15 35A01 35A02 PDF BibTeX XML Cite \textit{E. Kopylova}, J. Math. Anal. Appl. 443, No. 2, 1142--1157 (2016; Zbl 1350.35103) Full Text: DOI arXiv OpenURL
Prill, Oskar Asymptotic stability of the vacuum solution for one-dimensional nonlinear Klein-Gordon equations with a perturbed one-gap periodic potential with and without an eigenvalue. (English) Zbl 1335.35160 ZAMM, Z. Angew. Math. Mech. 95, No. 8, 778-821 (2015). MSC: 35L71 35L15 35B40 35B35 PDF BibTeX XML Cite \textit{O. Prill}, ZAMM, Z. Angew. Math. Mech. 95, No. 8, 778--821 (2015; Zbl 1335.35160) Full Text: DOI OpenURL
Comech, Andrew On global attraction to solitary waves. Klein-Gordon equation with mean field interaction at several points. (English) Zbl 1298.35017 J. Differ. Equations 252, No. 10, 5390-5413 (2012). Reviewer: Svetlin Georgiev (Rousse) MSC: 35B41 35L15 PDF BibTeX XML Cite \textit{A. Comech}, J. Differ. Equations 252, No. 10, 5390--5413 (2012; Zbl 1298.35017) Full Text: DOI OpenURL
Komech, Alexander; Komech, Andrew On global attraction to quantum stationary states. Dirac equation with mean field interaction. (English) Zbl 1211.35053 Commun. Math. Anal. Conference 3, 131-136 (2011). MSC: 35B41 35Q41 37K40 37L30 37N20 81Q05 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, Commun. Math. Anal. Conference 3, 131--136 (2011; Zbl 1211.35053) Full Text: arXiv Euclid OpenURL
Komech, Alexander; Komech, Andrew On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. (English) Zbl 1180.35124 J. Math. Pures Appl. (9) 93, No. 1, 91-111 (2010). MSC: 35B41 37K40 37L30 37N20 81Q05 35C05 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, J. Math. Pures Appl. (9) 93, No. 1, 91--111 (2010; Zbl 1180.35124) Full Text: DOI arXiv OpenURL