Maeda, Masaya; Yamazaki, Yohei Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes. (English) Zbl 07806928 J. Differ. Equations 387, 256-298 (2024). MSC: 35Q55 35Q41 35B40 35B35 35A01 35A02 35R01 37K35 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{Y. Yamazaki}, J. Differ. Equations 387, 256--298 (2024; Zbl 07806928) Full Text: DOI arXiv
Chen, Gong; Jendrej, Jacek Asymptotic stability and classification of multi-solitons for Klein-Gordon equations. (English) Zbl 07793843 Commun. Math. Phys. 405, No. 1, Paper No. 7, 47 p. (2024). MSC: 35B40 35C08 35L72 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Jendrej}, Commun. Math. Phys. 405, No. 1, Paper No. 7, 47 p. (2024; Zbl 07793843) Full Text: DOI arXiv
Sacchetti, Andrea Perturbation theory for nonlinear Schrödinger equations. (English) Zbl 1528.35169 Nonlinearity 36, No. 11, 6048-6070 (2023). MSC: 35Q55 81Q15 35B35 PDFBibTeX XMLCite \textit{A. Sacchetti}, Nonlinearity 36, No. 11, 6048--6070 (2023; Zbl 1528.35169) Full Text: DOI arXiv OA License
Maeda, Masaya; Yoneda, Masafumi Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 1522.35473 SUT J. Math. 59, No. 1, 11-32 (2023). MSC: 35Q55 35Q41 37K40 35C08 35B40 35B35 78A60 PDFBibTeX XMLCite \textit{M. Maeda} and \textit{M. Yoneda}, SUT J. Math. 59, No. 1, 11--32 (2023; Zbl 1522.35473) Full Text: DOI arXiv
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On asymptotic stability of the sine-Gordon kink in the energy space. (English) Zbl 1523.35254 Commun. Math. Phys. 402, No. 1, 581-636 (2023). Reviewer: Xiaoming He (Beijing) MSC: 35Q51 35B40 35B35 35B34 35C08 37K35 35R01 PDFBibTeX XMLCite \textit{M. A. Alejo} et al., Commun. Math. Phys. 402, No. 1, 581--636 (2023; Zbl 1523.35254) Full Text: DOI arXiv
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. (English) Zbl 1516.35384 Discrete Contin. Dyn. Syst. 43, No. 6, 2137-2185 (2023). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{S. Masaki} et al., Discrete Contin. Dyn. Syst. 43, No. 6, 2137--2185 (2023; Zbl 1516.35384) Full Text: DOI arXiv
Liu, Wei; Yuan, Yongjun; Zhao, Xiaofei Computing the action ground state for the rotating nonlinear Schrödinger equation. (English) Zbl 1514.35129 SIAM J. Sci. Comput. 45, No. 2, A397-A426 (2023). MSC: 35J10 35Q55 65N12 PDFBibTeX XMLCite \textit{W. Liu} et al., SIAM J. Sci. Comput. 45, No. 2, A397--A426 (2023; Zbl 1514.35129) Full Text: DOI arXiv
Camps, Nicolas Asymptotic stability of small ground states for NLS under random perturbations. (English) Zbl 1519.35283 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261-1318 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q41 35Q51 35B40 42B10 42B37 35A01 35A02 35B35 35P30 35R60 PDFBibTeX XMLCite \textit{N. Camps}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261--1318 (2022; Zbl 1519.35283) Full Text: DOI arXiv
Maeda, Masaya Asymptotic stability of small bound state of nonlinear quantum walks. (English) Zbl 1507.81196 Physica D 439, Article ID 133408, 14 p. (2022). MSC: 81V45 60G50 35B35 35B32 35P15 81U05 PDFBibTeX XMLCite \textit{M. Maeda}, Physica D 439, Article ID 133408, 14 p. (2022; Zbl 1507.81196) Full Text: DOI arXiv
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions. (English) Zbl 1502.37084 Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022). MSC: 37L65 37L05 37L25 37K06 37K40 PDFBibTeX XMLCite \textit{J. Zhang}, Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022; Zbl 1502.37084) Full Text: DOI arXiv
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
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 PDFBibTeX XMLCite \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
Mashkin, Timur Invariant manifold of modified solitons for the perturbed sine-Gordon equation. (English) Zbl 1479.35746 Nonlinearity 34, No. 10, 6930-6962 (2021). MSC: 35Q53 35L70 35C08 35B20 35A24 35R01 PDFBibTeX XMLCite \textit{T. Mashkin}, Nonlinearity 34, No. 10, 6930--6962 (2021; Zbl 1479.35746) Full Text: DOI
Maeda, Masaya Stabilization of small solutions of discrete NLS with potential having two eigenvalues. (English) Zbl 1466.35330 Appl. Anal. 100, No. 8, 1603-1633 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q41 35B40 35C08 35B35 81Q05 PDFBibTeX XMLCite \textit{M. Maeda}, Appl. Anal. 100, No. 8, 1603--1633 (2021; Zbl 1466.35330) Full Text: DOI arXiv
Mizutani, Haruya Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials. (English) Zbl 1454.81238 J. Math. Phys. 61, No. 9, 091505, 21 p. (2020). MSC: 81U05 81Q05 46E36 35B25 81U20 81U40 35B38 PDFBibTeX XMLCite \textit{H. Mizutani}, J. Math. Phys. 61, No. 9, 091505, 21 p. (2020; Zbl 1454.81238) Full Text: DOI arXiv
Mashkin, Timur Solitons in the presence of a small, slowly varying perturbation. (English) Zbl 1448.35450 Appl. Anal. 99, No. 13, 2258-2279 (2020). MSC: 35Q53 35L70 35C08 53D05 PDFBibTeX XMLCite \textit{T. Mashkin}, Appl. Anal. 99, No. 13, 2258--2279 (2020; Zbl 1448.35450) Full Text: DOI arXiv
Frank, Rupert L.; Gang, Zhou A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations. (English) Zbl 1445.35128 J. Funct. Anal. 279, No. 7, Article ID 108631, 42 p. (2020). MSC: 35G55 35Q55 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{Z. Gang}, J. Funct. Anal. 279, No. 7, Article ID 108631, 42 p. (2020; Zbl 1445.35128) Full Text: DOI arXiv
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029 J. Math. Phys. 61, No. 4, 041504, 35 p. (2020). MSC: 81Q05 81Q10 35Q55 35Q41 35C08 46E39 93B18 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI
Masaki, Satoshi; Murphy, Jason; Segata, Jun-ichi Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential. (English) Zbl 1447.35299 Anal. PDE 13, No. 4, 1099-1128 (2020). MSC: 35Q55 35B35 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{S. Masaki} et al., Anal. PDE 13, No. 4, 1099--1128 (2020; Zbl 1447.35299) Full Text: DOI arXiv
Mashkin, Timur Stability of the solitary manifold of the perturbed sine-Gordon equation. (English) Zbl 1442.35065 J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020). MSC: 35C08 35L71 35B40 PDFBibTeX XMLCite \textit{T. Mashkin}, J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020; Zbl 1442.35065) Full Text: DOI arXiv
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
Naumkin, Ivan; Raphaël, Pierre On traveling waves of the nonlinear Schrödinger equation escaping a potential well. (English) Zbl 1437.35194 Ann. Henri Poincaré 21, No. 5, 1677-1758 (2020). MSC: 35J10 35Q55 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{P. Raphaël}, Ann. Henri Poincaré 21, No. 5, 1677--1758 (2020; Zbl 1437.35194) 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
Cuccagna, Scipio; Maeda, Masaya Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state. (English) Zbl 1439.35439 J. Differ. Equations 268, No. 10, 6416-6480 (2020). MSC: 35Q55 35B06 35B05 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 268, No. 10, 6416--6480 (2020; Zbl 1439.35439) Full Text: DOI arXiv
Martínez, María E. Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension. (English) Zbl 1434.35185 Nonlinearity 33, No. 3, 1156-1182 (2020). MSC: 35Q55 35Q40 35B40 35P25 35C08 35B35 PDFBibTeX XMLCite \textit{M. E. Martínez}, Nonlinearity 33, No. 3, 1156--1182 (2020; Zbl 1434.35185) Full Text: DOI arXiv
An, Xinliang; Soffer, Avy Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. (English) Zbl 1431.35145 Discrete Contin. Dyn. Syst. 40, No. 1, 331-373 (2020). MSC: 35Q40 35B34 35B40 35L70 35P25 35C08 PDFBibTeX XMLCite \textit{X. An} and \textit{A. Soffer}, Discrete Contin. Dyn. Syst. 40, No. 1, 331--373 (2020; Zbl 1431.35145) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, SIAM J. Math. Anal. 51, No. 6, 4311--4331 (2019; Zbl 1428.35430) Full Text: DOI arXiv
Boussaïd, Nabile; Comech, Andrew Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity. (English) Zbl 1426.35026 J. Funct. Anal. 277, No. 12, Article ID 108289, 68 p. (2019). MSC: 35B35 35Q41 35C08 35P15 PDFBibTeX XMLCite \textit{N. Boussaïd} and \textit{A. Comech}, J. Funct. Anal. 277, No. 12, Article ID 108289, 68 p. (2019; Zbl 1426.35026) Full Text: DOI arXiv
Borthwick, David; Donninger, Roland; Lenzmann, Enno; Marzuola, Jeremy L. Existence and stability of Schrödinger solitons on noncompact manifolds. (English) Zbl 1428.35486 SIAM J. Math. Anal. 51, No. 5, 3854-3901 (2019). MSC: 35Q55 35C08 35B35 35B44 35B20 PDFBibTeX XMLCite \textit{D. Borthwick} et al., SIAM J. Math. Anal. 51, No. 5, 3854--3901 (2019; Zbl 1428.35486) Full Text: DOI arXiv
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). (English) Zbl 1428.35500 SIAM J. Math. Anal. 50, No. 5, 5243-5292 (2018). MSC: 35Q55 37K40 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{Q. Deng} et al., SIAM J. Math. Anal. 50, No. 5, 5243--5292 (2018; Zbl 1428.35500) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDFBibTeX XMLCite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) 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
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio On asymptotic stability of nonlinear waves. (English) Zbl 1475.35415 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 18, 27 p. (2017). MSC: 35R30 35B35 35P25 35Q53 35Q55 35-02 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI
Kirr, E. Long time dynamics and coherent states in nonlinear wave equations. (English) Zbl 1397.35160 Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-6968-5/hbk; 978-1-4939-6969-2/ebook). Fields Institute Communications 79, 59-88 (2017). Reviewer: Dongbing Zha (Shanghai) MSC: 35L90 35L05 35Q55 35L72 35P25 35-02 35B40 PDFBibTeX XMLCite \textit{E. Kirr}, Fields Inst. Commun. 79, 59--88 (2017; Zbl 1397.35160) Full Text: DOI arXiv
Maeda, Masaya Existence and asymptotic stability of quasi-periodic solutions of discrete NLS with potential. (English) Zbl 1375.35501 SIAM J. Math. Anal. 49, No. 5, 3396-3426 (2017). MSC: 35Q55 35B35 35B40 35B10 PDFBibTeX XMLCite \textit{M. Maeda}, SIAM J. Math. Anal. 49, No. 5, 3396--3426 (2017; Zbl 1375.35501) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. (English) Zbl 1364.35341 Physica D 320, 77-88 (2016). MSC: 35Q55 35C08 65L15 65M70 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On orbital instability of spectrally stable vortices of the NLS in the plane. (English) Zbl 1360.35240 J. Nonlinear Sci. 26, No. 6, 1851-1894 (2016). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Nonlinear Sci. 26, No. 6, 1851--1894 (2016; Zbl 1360.35240) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya; Phan, Tuoc V. On small energy stabilization in the NLKG with a trapping potential. (English) Zbl 1356.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32-58 (2016). Reviewer: Michael Reissig (Freiberg) MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 32--58 (2016; Zbl 1356.35142) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI
Ortoleva, Cecilia; Noja, Diego; Adami, Riccardo Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. (English) Zbl 1351.35187 Discrete Contin. Dyn. Syst. 36, No. 11, 5837-5879 (2016). MSC: 35Q55 35Q51 37K40 35B40 35B35 PDFBibTeX XMLCite \textit{C. Ortoleva} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 5837--5879 (2016; Zbl 1351.35187) Full Text: DOI
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDFBibTeX XMLCite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv
Sparber, Christof Weakly nonlinear time-adiabatic theory. (English) Zbl 1337.81056 Ann. Henri Poincaré 17, No. 4, 913-936 (2016). Reviewer: Ma Wen-Xiu (Tampa) MSC: 81Q05 35Q41 35Q55 70H11 PDFBibTeX XMLCite \textit{C. Sparber}, Ann. Henri Poincaré 17, No. 4, 913--936 (2016; Zbl 1337.81056) Full Text: DOI arXiv
Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for the discrete Laguerre operator. (English) Zbl 1334.35265 Lett. Math. Phys. 106, No. 4, 545-555 (2016). MSC: 35Q41 47B36 81U30 81Q05 PDFBibTeX XMLCite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv
Cuccagna, Scipio; Tarulli, Mirko On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential. (English) Zbl 1334.35264 J. Math. Anal. Appl. 436, No. 2, 1332-1368 (2016). MSC: 35Q41 35B32 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Tarulli}, J. Math. Anal. Appl. 436, No. 2, 1332--1368 (2016; Zbl 1334.35264) Full Text: DOI arXiv
De Bièvre, Stephan; Genoud, François; Nodari, Simona Rota Orbital stability: analysis meets geometry. (English) Zbl 1347.37122 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 147-273 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K45 37K05 37J25 37-01 35Q55 PDFBibTeX XMLCite \textit{S. De Bièvre} et al., Lect. Notes Math. 2146, 147--273 (2015; Zbl 1347.37122) Full Text: DOI arXiv
Krueger, August J.; Soffer, Avy Structure of noncommutative solitons: existence and spectral theory. (English) Zbl 1327.35328 Lett. Math. Phys. 105, No. 10, 1377-1398 (2015). MSC: 35Q40 35Q55 39A05 PDFBibTeX XMLCite \textit{A. J. Krueger} and \textit{A. Soffer}, Lett. Math. Phys. 105, No. 10, 1377--1398 (2015; Zbl 1327.35328) Full Text: DOI arXiv
Gravejat, Philippe; Smets, Didier Asymptotic stability of the black soliton for the Gross-Pitaevskii equation. (English) Zbl 1326.35346 Proc. Lond. Math. Soc. (3) 111, No. 2, 305-353 (2015). Reviewer: Santosh Bhattarai (Buffalo) MSC: 35Q55 35B35 35B40 35C08 35C07 PDFBibTeX XMLCite \textit{P. Gravejat} and \textit{D. Smets}, Proc. Lond. Math. Soc. (3) 111, No. 2, 305--353 (2015; Zbl 1326.35346) Full Text: DOI
Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. On blowup dynamics in the Keller-Segel model of chemotaxis. (English) Zbl 1326.35049 St. Petersbg. Math. J. 25, No. 4, 547-574 (2014) and Algebra Anal. 25, No. 4, 47-84 (2013). MSC: 35B44 35K51 35K57 35Q84 92C17 PDFBibTeX XMLCite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) Full Text: DOI arXiv
Beceanu, Marius A center-stable manifold for the energy-critical wave equation in \(\mathbb{R}^{3}\) in the symmetric setting. (English) Zbl 1315.35129 J. Hyperbolic Differ. Equ. 11, No. 3, 437-476 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35B44 35C08 37K40 35B40 PDFBibTeX XMLCite \textit{M. Beceanu}, J. Hyperbolic Differ. Equ. 11, No. 3, 437--476 (2014; Zbl 1315.35129) 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
Cuccagna, Scipio On asymptotic stability of moving ground states of the nonlinear Schrödinger equation. (English) Zbl 1293.35289 Trans. Am. Math. Soc. 366, No. 6, 2827-2888 (2014). MSC: 35Q55 35B40 35Q51 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) 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
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael Hamiltonian dynamics of a particle interacting with a wave field. (English) Zbl 1281.35084 Commun. Partial Differ. Equations 38, No. 12, 2155-2198 (2013). MSC: 35Q70 35B35 70H14 35B40 35C07 PDFBibTeX XMLCite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv
Adami, Riccardo; Noja, Diego; Ortoleva, Cecilia Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. (English) Zbl 1322.35122 J. Math. Phys. 54, No. 1, 013501, 33 p. (2013). Reviewer: M. Plum (Karlsruhe) MSC: 35Q55 35J10 35B35 PDFBibTeX XMLCite \textit{R. Adami} et al., J. Math. Phys. 54, No. 1, 013501, 33 p. (2013; Zbl 1322.35122) Full Text: DOI arXiv
Bambusi, Dario Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. (English) Zbl 1286.37064 Commun. Math. Phys. 324, No. 2, 515-547 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K60 37K45 PDFBibTeX XMLCite \textit{D. Bambusi}, Commun. Math. Phys. 324, No. 2, 515--547 (2013; Zbl 1286.37064) 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
Imaykin, V. M. Soliton asymptotics for systems of ‘field-particle’ type. (English. Russian original) Zbl 1307.35288 Russ. Math. Surv. 68, No. 2, 227-281 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 33-90 (2013). MSC: 35Q60 35Q61 78A35 81U99 37K40 PDFBibTeX XMLCite \textit{V. M. Imaykin}, Russ. Math. Surv. 68, No. 2, 227--281 (2013; Zbl 1307.35288); translation from Usp. Mat. Nauk. 68, No. 2, 33--90 (2013) Full Text: DOI
Green, William R. Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. (English) Zbl 1373.35266 Ill. J. Math. 56, No. 2, 307-341 (2012). MSC: 35Q41 42B20 PDFBibTeX XMLCite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid
Boussaid, Nabile; Cuccagna, Scipio On stability of standing waves of nonlinear Dirac equations. (English) Zbl 1251.35098 Commun. Partial Differ. Equations 37, No. 4-6, 1001-1056 (2012). MSC: 35Q41 35B35 35B40 35Q55 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{S. Cuccagna}, Commun. Partial Differ. Equations 37, No. 4--6, 1001--1056 (2012; Zbl 1251.35098) Full Text: DOI arXiv
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng Small solutions of nonlinear Schrödinger equations near first excited states. (English) Zbl 1244.35136 J. Funct. Anal. 263, No. 3, 703-781 (2012). MSC: 35Q55 81Q05 35P05 PDFBibTeX XMLCite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv
Muñoz, Claudio On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations. (English) Zbl 1291.35264 Math. Ann. 353, No. 3, 867-943 (2012). Reviewer: Yvan Martel (Palaiseau) MSC: 35Q51 35Q53 37K10 37K40 PDFBibTeX XMLCite \textit{C. Muñoz}, Math. Ann. 353, No. 3, 867--943 (2012; Zbl 1291.35264) Full Text: DOI arXiv
Nakanishi, K.; Schlag, W. Global dynamics above the ground state energy for the cubic NLS equation in 3D. (English) Zbl 1237.35148 Calc. Var. Partial Differ. Equ. 44, No. 1-2, 1-45 (2012). MSC: 35Q55 37K40 37K45 35P15 37D10 PDFBibTeX XMLCite \textit{K. Nakanishi} and \textit{W. Schlag}, Calc. Var. Partial Differ. Equ. 44, No. 1--2, 1--45 (2012; Zbl 1237.35148) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Vainberg, Boris Scattering of solitons for coupled wave-particle equations. (English) Zbl 1235.35068 J. Math. Anal. Appl. 389, No. 2, 713-740 (2012). MSC: 35C08 35L10 37K40 35Q40 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link
Beceanu, Marius A critical center-stable manifold for Schrödinger’s equation in three dimensions. (English) Zbl 1234.35240 Commun. Pure Appl. Math. 65, No. 4, 431-507 (2012). MSC: 35Q55 35C08 35J62 81Q05 PDFBibTeX XMLCite \textit{M. Beceanu}, Commun. Pure Appl. Math. 65, No. 4, 431--507 (2012; Zbl 1234.35240) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Spohn, Herbert Scattering asymptotics for a charged particle coupled to the Maxwell field. (English) Zbl 1316.78002 J. Math. Phys. 52, No. 4, 042701, 33 p. (2011). MSC: 78A35 78A60 35C08 78A40 28C20 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Phys. 52, No. 4, 042701, 33 p. (2011; Zbl 1316.78002) Full Text: DOI arXiv Link
Demirkaya, Aslihan; Stanislavova, Milena Conditional stability theorem for the one dimensional Klein-Gordon equation. (English) Zbl 1272.81056 J. Math. Phys. 52, No. 11, 112703, 20 p. (2011). MSC: 81Q05 34L40 34D35 PDFBibTeX XMLCite \textit{A. Demirkaya} and \textit{M. Stanislavova}, J. Math. Phys. 52, No. 11, 112703, 20 p. (2011; Zbl 1272.81056) Full Text: DOI Link
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
Miyaji, Tomoyuki; Ohnishi, Isamu; Tsutsumi, Yoshio Stability of a stationary solution for the Lugiato-Lefever equation. (English) Zbl 1234.35251 Tohoku Math. J. (2) 63, No. 4, Centen. Iss., 651-663 (2011); erratum ibid. 72, No. 3, 487-492 (2020). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{T. Miyaji} et al., Tôhoku Math. J. (2) 63, No. 4, 651--663 (2011; Zbl 1234.35251) Full Text: DOI
Mouhot, Clément; Villani, Cédric On Landau damping. (English) Zbl 1239.82017 Acta Math. 207, No. 1, 29-201 (2011); correction ibid. 207, No. 2, 391 (2011). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82D10 35Q83 PDFBibTeX XMLCite \textit{C. Mouhot} and \textit{C. Villani}, Acta Math. 207, No. 1, 29--201 (2011; Zbl 1239.82017) Full Text: DOI arXiv
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E. Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. (English) Zbl 1235.34128 Commun. Math. Phys. 308, No. 3, 795-844 (2011). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34C23 34L05 34B40 35Q55 PDFBibTeX XMLCite \textit{E. Kirr} et al., Commun. Math. Phys. 308, No. 3, 795--844 (2011; Zbl 1235.34128) Full Text: DOI arXiv
Cuccagna, Scipio The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states. (English) Zbl 1222.35183 Commun. Math. Phys. 305, No. 2, 279-331 (2011). MSC: 35Q55 35B40 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Math. Phys. 305, No. 2, 279--331 (2011; Zbl 1222.35183) Full Text: DOI arXiv
Cuccagna, Scipio; Visciglia, Nicola On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. (English) Zbl 1298.35191 Trans. Am. Math. Soc. 363, No. 5, 2357-2391 (2011). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{N. Visciglia}, Trans. Am. Math. Soc. 363, No. 5, 2357--2391 (2011; Zbl 1298.35191) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Inelastic interaction of nearly equal solitons for the quartic gKdV equation. (English) Zbl 1230.35121 Invent. Math. 183, No. 3, 563-648 (2011). Reviewer: Pilar Ruiz Gordoa (Madrid) MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Invent. Math. 183, No. 3, 563--648 (2011; Zbl 1230.35121) Full Text: DOI arXiv
Koo, Eva Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in \(\mathbb R^3\). (English) Zbl 1211.35252 J. Differ. Equations 250, No. 8, 3473-3503 (2011). MSC: 35Q55 35B40 35B35 35C08 78A25 35B45 PDFBibTeX XMLCite \textit{E. Koo}, J. Differ. Equations 250, No. 8, 3473--3503 (2011; Zbl 1211.35252) 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. 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
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 PDFBibTeX XMLCite \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
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
Kirr, E.; Mızrak, Ö. Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1187.35238 J. Funct. Anal. 257, No. 12, 3691-3747 (2009). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q55 81Q10 35B35 35B40 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{Ö. Mızrak}, J. Funct. Anal. 257, No. 12, 3691--3747 (2009; Zbl 1187.35238) Full Text: DOI arXiv
Squassina, Marco Soliton dynamics for the nonlinear Schrödinger equation with magnetic field. (English) Zbl 1179.81066 Manuscr. Math. 130, No. 4, 461-494 (2009). MSC: 81Q05 35Q40 35Q51 35Q55 37K40 37K45 PDFBibTeX XMLCite \textit{M. Squassina}, Manuscr. Math. 130, No. 4, 461--494 (2009; Zbl 1179.81066) Full Text: DOI arXiv
Cuccagna, Scipio; Tarulli, Mirko On asymptotic stability in energy space of ground states of NLS in 2D. (English) Zbl 1171.35470 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1361-1386 (2009). MSC: 35Q55 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Tarulli}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 4, 1361--1386 (2009; Zbl 1171.35470) Full Text: DOI arXiv EuDML
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
Komech, Alexander; Komech, Andrew Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. (English) Zbl 1177.35201 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855-868 (2009). MSC: 35Q53 37K10 35Q51 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855--868 (2009; Zbl 1177.35201) Full Text: DOI arXiv EuDML
Kirr, E.; Zarnescu, A. Asymptotic stability of ground states in 2D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1171.35112 J. Differ. Equations 247, No. 3, 710-735 (2009). MSC: 35Q55 35B40 35B35 35B45 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{A. Zarnescu}, J. Differ. Equations 247, No. 3, 710--735 (2009; Zbl 1171.35112) Full Text: DOI arXiv
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
Goodman, Roy H.; Weinstein, Michael I. Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study. (English) Zbl 1153.78325 Physica D 237, No. 21, 2731-2760 (2008). MSC: 78A60 35Q55 78A40 PDFBibTeX XMLCite \textit{R. H. Goodman} and \textit{M. I. Weinstein}, Physica D 237, No. 21, 2731--2760 (2008; Zbl 1153.78325) Full Text: DOI arXiv
Jerrard, Robert Leon; Spirn, Daniel Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics. (English) Zbl 1155.76010 Arch. Ration. Mech. Anal. 190, No. 3, 425-475 (2008). MSC: 76A25 35Q35 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{D. Spirn}, Arch. Ration. Mech. Anal. 190, No. 3, 425--475 (2008; Zbl 1155.76010) Full Text: DOI
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
Beceanu, Marius A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\). (English) Zbl 1148.35082 Commun. Math. Phys. 280, No. 1, 145-205 (2008). MSC: 35Q55 35Q51 37L10 PDFBibTeX XMLCite \textit{M. Beceanu}, Commun. Math. Phys. 280, No. 1, 145--205 (2008; Zbl 1148.35082) Full Text: DOI arXiv
Zhou, Gang Perturbation expansion and \(N\)th order Fermi golden rule of the nonlinear Schrödinger equations. (English) Zbl 1144.81430 J. Math. Phys. 48, No. 5, 053509, 23 p. (2007). MSC: 47N50 35Q55 81Q15 PDFBibTeX XMLCite \textit{G. Zhou}, J. Math. Phys. 48, No. 5, 053509, 23 p. (2007; Zbl 1144.81430) Full Text: DOI
Kirr, E.; Zarnescu, A. On the asymptotic stability of bound states in 2D cubic Schrödinger equation. (English) Zbl 1194.35416 Commun. Math. Phys. 272, No. 2, 443-468 (2007). Reviewer: Heinz Siedentop (München) MSC: 35Q55 35B35 81Q05 35B41 37L30 PDFBibTeX XMLCite \textit{E. Kirr} and \textit{A. Zarnescu}, Commun. Math. Phys. 272, No. 2, 443--468 (2007; Zbl 1194.35416) Full Text: DOI arXiv
Gang, Zhou; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. (English) Zbl 1126.35065 Adv. Math. 216, No. 2, 443-490 (2007). MSC: 35Q55 37K45 81R12 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Adv. Math. 216, No. 2, 443--490 (2007; Zbl 1126.35065) Full Text: DOI arXiv
Komech, Alexander; Komech, Andrew Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. (English) Zbl 1131.35003 Arch. Ration. Mech. Anal. 185, No. 1, 105-142 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B41 35Q40 81T10 37L30 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Arch. Ration. Mech. Anal. 185, No. 1, 105--142 (2007; Zbl 1131.35003) Full Text: DOI arXiv
Erdoğan, M. Burak; Schlag, Wilhelm Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. (English) Zbl 1146.35324 J. Anal. Math. 99, 199-248 (2006). MSC: 35B45 47D06 35Q40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. Schlag}, J. Anal. Math. 99, 199--248 (2006; Zbl 1146.35324) Full Text: DOI arXiv
Boussaid, Nabile Stable directions for small nonlinear Dirac standing waves. (English) Zbl 1127.35060 Commun. Math. Phys. 268, No. 3, 757-817 (2006). MSC: 35Q55 37K45 81Q05 35P25 PDFBibTeX XMLCite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv
Imaikin, Valery; Komech, Alexander; Vainberg, Boris On scattering of solitons for the Klein-Gordon equation coupled to a particle. (English) Zbl 1127.35054 Commun. Math. Phys. 268, No. 2, 321-367 (2006). MSC: 35Q40 81U05 37K40 35P25 35Q51 35L70 PDFBibTeX XMLCite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv
Dejak, S. I.; Jonsson, B. L. G. Long-time dynamics of variable coefficient modified Korteweg-de Vries solitary waves. (English) Zbl 1112.35136 J. Math. Phys. 47, No. 7, 072703, 16 p. (2006). MSC: 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{S. I. Dejak} and \textit{B. L. G. Jonsson}, J. Math. Phys. 47, No. 7, 072703, 16 p. (2006; Zbl 1112.35136) Full Text: DOI arXiv
Komech, Alexander I.; Komech, Andrew A. On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1096.35020 C. R., Math., Acad. Sci. Paris 343, No. 2, 111-114 (2006). MSC: 35B41 35L70 35L15 35Q51 37L30 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{A. A. Komech}, C. R., Math., Acad. Sci. Paris 343, No. 2, 111--114 (2006; Zbl 1096.35020) Full Text: DOI arXiv