Germain, Pierre; Pusateri, Fabio Quadratic Klein-Gordon equations with a potential in one dimension. (English) Zbl 1495.35126 Forum Math. Pi 10, Paper No. e17, 172 p. (2022). MSC: 35L71 35P25 35Q56 42B37 PDF BibTeX XML Cite \textit{P. Germain} and \textit{F. Pusateri}, Forum Math. Pi 10, Paper No. e17, 172 p. (2022; Zbl 1495.35126) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method. (English) Zbl 1490.35406 J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 35B35 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Evol. Equ. 22, No. 2, Paper No. 51, 27 p. (2022; Zbl 1490.35406) Full Text: DOI arXiv 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
Cuccagna, Scipio; Maeda, Masaya Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation. (English) Zbl 1490.35405 Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021). MSC: 35Q55 35B35 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, Ann. PDE 7, No. 2, Paper No. 16, 34 p. (2021; Zbl 1490.35405) Full Text: DOI arXiv 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
Yuan, Xu Conditional stability of multi-solitons for the 1D NLKG equation with double power nonlinearity. (English) Zbl 1471.35034 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1487-1524 (2021). MSC: 35B35 35L15 35L71 PDF BibTeX XML Cite \textit{X. Yuan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1487--1524 (2021; Zbl 1471.35034) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. (English) Zbl 1469.35150 Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021). MSC: 35L71 35B35 35B40 37K40 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021; Zbl 1469.35150) Full Text: DOI arXiv OpenURL
Comech, Andrew; Cuccagna, Scipio On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. (English) Zbl 1460.35321 Discrete Contin. Dyn. Syst. 41, No. 3, 1225-1270 (2021). MSC: 35Q55 35B35 35B40 35C08 35Q41 37K40 PDF BibTeX XML Cite \textit{A. Comech} and \textit{S. Cuccagna}, Discrete Contin. Dyn. Syst. 41, No. 3, 1225--1270 (2021; Zbl 1460.35321) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) 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
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 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 268, No. 10, 6416--6480 (2020; Zbl 1439.35439) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{X. An} and \textit{A. Soffer}, Discrete Contin. Dyn. Syst. 40, No. 1, 331--373 (2020; Zbl 1431.35145) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Snelson, Stanley Asymptotic stability for odd perturbations of the stationary kink in the variable-speed \(\phi ^4\) model. (English) Zbl 1415.35208 Trans. Am. Math. Soc. 370, No. 10, 7437-7460 (2018). MSC: 35L71 35L15 35C07 PDF BibTeX XML Cite \textit{S. Snelson}, Trans. Am. Math. Soc. 370, No. 10, 7437--7460 (2018; Zbl 1415.35208) 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
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 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI OpenURL
Dukhnovskii, S. A. On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data. (Russian. English summary) Zbl 1413.35302 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 7-41 (2017). MSC: 35L45 35L60 35Q20 PDF BibTeX XML Cite \textit{S. A. Dukhnovskii}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 7--41 (2017; Zbl 1413.35302) Full Text: DOI MNR OpenURL
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 PDF BibTeX XML Cite \textit{E. Kirr}, Fields Inst. Commun. 79, 59--88 (2017; Zbl 1397.35160) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 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
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 PDF BibTeX XML Cite \textit{C. Ortoleva} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 5837--5879 (2016; Zbl 1351.35187) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Tarulli}, J. Math. Anal. Appl. 436, No. 2, 1332--1368 (2016; Zbl 1334.35264) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Lett. Math. Phys. 105, No. 10, 1377--1398 (2015; Zbl 1327.35328) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Gravejat} and \textit{D. Smets}, Proc. Lond. Math. Soc. (3) 111, No. 2, 305--353 (2015; Zbl 1326.35346) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) Full Text: DOI arXiv OpenURL
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDF BibTeX XML Cite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Komech} and \textit{E. Kopylova}, J. Stat. Phys. 154, No. 1--2, 503--521 (2014; Zbl 1300.34195) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, Trans. Am. Math. Soc. 366, No. 6, 2827--2888 (2014; Zbl 1293.35289) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a non-trapping potential. (English) Zbl 1285.35107 J. Differ. Equations 256, No. 4, 1395-1466 (2014). MSC: 35Q55 35Q51 35B35 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. I. Komech} et al., J. Spectr. Theory 3, No. 4, 485--503 (2013; Zbl 1295.35063) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna}, Commun. Math. Phys. 305, No. 2, 279--331 (2011; Zbl 1222.35183) Full Text: DOI arXiv OpenURL
Holmer, Justin; Perelman, Galina; Zworski, Maciej Effective dynamics of double solitons for perturbed mKdV. (English) Zbl 1300.37046 Commun. Math. Phys. 305, No. 2, 363-425 (2011). MSC: 37K40 35Q53 35C08 PDF BibTeX XML Cite \textit{J. Holmer} et al., Commun. Math. Phys. 305, No. 2, 363--425 (2011; Zbl 1300.37046) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. I. Komech} et al., J. Math. Anal. Appl. 383, No. 2, 265--290 (2011; Zbl 1229.35228) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{N. Visciglia}, Trans. Am. Math. Soc. 363, No. 5, 2357--2391 (2011; Zbl 1298.35191) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio On scattering of small energy solutions of non-autonomous Hamiltonian nonlinear Schrödinger equations. (English) Zbl 1216.35134 J. Differ. Equations 250, No. 5, 2347-2371 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q55 35P25 37K05 35B44 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 250, No. 5, 2347--2371 (2011; Zbl 1216.35134) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 17, No. 2, 226--239 (2010; Zbl 1251.35103) Full Text: DOI OpenURL
Marzuola, Jeremy L.; Raynor, Sarah; Simpson, Gideon A system of ODEs for a perturbation of a minimal mass soliton. (English) Zbl 1205.35295 J. Nonlinear Sci. 20, No. 4, 425-461 (2010). MSC: 35Q55 35C08 35B35 35A24 37K40 PDF BibTeX XML Cite \textit{J. L. Marzuola} et al., J. Nonlinear Sci. 20, No. 4, 425--461 (2010; Zbl 1205.35295) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. A. Kopylova}, J. Math. Anal. Appl. 366, No. 2, 494--505 (2010; Zbl 1191.35060) Full Text: DOI arXiv 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
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. Kirr} and \textit{Ö. Mızrak}, J. Funct. Anal. 257, No. 12, 3691--3747 (2009; Zbl 1187.35238) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Squassina}, Manuscr. Math. 130, No. 4, 461--494 (2009; Zbl 1179.81066) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. Kirr} and \textit{A. Zarnescu}, J. Differ. Equations 247, No. 3, 710--735 (2009; Zbl 1171.35112) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio An invariant set in energy space for supercritical NLS in 1D. (English) Zbl 1160.35534 J. Math. Anal. Appl. 352, No. 2, 634-644 (2009). MSC: 35Q55 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Math. Anal. Appl. 352, No. 2, 634--644 (2009; Zbl 1160.35534) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio On instability of excited states of the nonlinear Schrödinger equation. (English) Zbl 1161.35500 Physica D 238, No. 1, 38-54 (2009). MSC: 35Q55 35B35 37K45 PDF BibTeX XML Cite \textit{S. Cuccagna}, Physica D 238, No. 1, 38--54 (2009; Zbl 1161.35500) Full Text: DOI arXiv OpenURL
Tao, Terence Why are solitons stable? (English) Zbl 1155.35082 Bull. Am. Math. Soc., New Ser. 46, No. 1, 1-33 (2009). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q51 PDF BibTeX XML Cite \textit{T. Tao}, Bull. Am. Math. Soc., New Ser. 46, No. 1, 1--33 (2009; Zbl 1155.35082) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 15, No. 4, 487--492 (2008; Zbl 1186.35205) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Mizumachi, Tetsu On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. (English) Zbl 1155.35092 Commun. Math. Phys. 284, No. 1, 51-77 (2008). MSC: 35Q55 35B35 35B40 81Q05 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{T. Mizumachi}, Commun. Math. Phys. 284, No. 1, 51--77 (2008; Zbl 1155.35092) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Beceanu}, Commun. Math. Phys. 280, No. 1, 145--205 (2008; Zbl 1148.35082) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio On asymptotic stability in energy space of ground states of NLS in 1D. (English) Zbl 1185.35251 J. Differ. Equations 245, No. 3, 653-691 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35B35 35B40 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 245, No. 3, 653--691 (2008; Zbl 1185.35251) Full Text: DOI arXiv Numdam OpenURL
Martel, Yvan; Merle, Frank Asymptotic stability of solitons of the gKdV equations with general nonlinearity. (English) Zbl 1153.35068 Math. Ann. 341, No. 2, 391-427 (2008). MSC: 35Q53 35Q51 35B40 PDF BibTeX XML Cite \textit{Y. Martel} and \textit{F. Merle}, Math. Ann. 341, No. 2, 391--427 (2008; Zbl 1153.35068) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Komech} and \textit{E. Kopylova}, Russ. J. Math. Phys. 13, No. 2, 158--187 (2006; Zbl 1118.35040) Full Text: DOI arXiv OpenURL
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. (English) Zbl 1099.35134 Duke Math. J. 133, No. 3, 405-466 (2006). MSC: 35Q55 37K45 35Q51 35B35 PDF BibTeX XML Cite \textit{Y. Martel} et al., Duke Math. J. 133, No. 3, 405--466 (2006; Zbl 1099.35134) Full Text: DOI Euclid OpenURL
Krieger, J.; Schlag, W. Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension. (English) Zbl 1281.35077 J. Am. Math. Soc. 19, No. 4, 815-920 (2006). MSC: 35Q55 35Q51 37K40 37K45 PDF BibTeX XML Cite \textit{J. Krieger} and \textit{W. Schlag}, J. Am. Math. Soc. 19, No. 4, 815--920 (2006; Zbl 1281.35077) Full Text: DOI OpenURL
Cuccagna, Scipio Stability of standing waves for NLS with perturbed Lamé potential. (English) Zbl 1115.35120 J. Differ. Equations 223, No. 1, 112-160 (2006). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q55 37K45 37K15 PDF BibTeX XML Cite \textit{S. Cuccagna}, J. Differ. Equations 223, No. 1, 112--160 (2006; Zbl 1115.35120) Full Text: DOI OpenURL
Soffer, A.; Weinstein, M. I. Selection of the ground state for nonlinear Schrödinger equations. (English) Zbl 1111.81313 Rev. Math. Phys. 16, No. 8, 977-1071 (2004). MSC: 81Q10 35Q55 81U05 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{M. I. Weinstein}, Rev. Math. Phys. 16, No. 8, 977--1071 (2004; Zbl 1111.81313) Full Text: DOI arXiv OpenURL
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. Solitary wave dynamics in an external potential. (English) Zbl 1075.35075 Commun. Math. Phys. 250, No. 3, 613-642 (2004). MSC: 35Q55 35Q51 37K25 37K40 PDF BibTeX XML Cite \textit{J. Fröhlich} et al., Commun. Math. Phys. 250, No. 3, 613--642 (2004; Zbl 1075.35075) Full Text: DOI arXiv OpenURL
Buslaev, Vladimir S.; Sulem, Catherine On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1028.35139 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419-475 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{C. Sulem}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419--475 (2003; Zbl 1028.35139) Full Text: DOI Numdam EuDML OpenURL