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
Cheng, Han; Huang, Shanlin; Zheng, Quan Dispersive estimates for the Schrödinger equation with finite rank perturbations. (English) Zbl 1518.35261 Adv. Math. 426, Article ID 109105, 91 p. (2023). MSC: 35J10 81Q15 42B37 PDFBibTeX XMLCite \textit{H. Cheng} et al., Adv. Math. 426, Article ID 109105, 91 p. (2023; Zbl 1518.35261) Full Text: DOI arXiv
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 1504.35421 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDFBibTeX XMLCite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 1504.35421) Full Text: DOI arXiv
Léger, Tristan Global existence and scattering for quadratic NLS with potential in three dimensions. (English) Zbl 1483.35214 Anal. PDE 14, No. 7, 1977-2046 (2021). MSC: 35Q55 35P25 35A01 35B34 PDFBibTeX XMLCite \textit{T. Léger}, Anal. PDE 14, No. 7, 1977--2046 (2021; Zbl 1483.35214) Full Text: DOI arXiv
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
Chen, Gong Strichartz estimates for wave equations with charge transfer Hamiltonians. (English) Zbl 1484.35092 Memoirs of the American Mathematical Society 1339. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4974-2/pbk; 978-1-4704-6807-1/ebook). v, 84 p. (2021). Reviewer: Chengbo Wang (Hangzhou) MSC: 35B45 35L05 37K40 35L15 35B40 PDFBibTeX XMLCite \textit{G. Chen}, Strichartz estimates for wave equations with charge transfer Hamiltonians. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1484.35092) Full Text: DOI arXiv
Li, Ze Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case. (English) Zbl 1465.35360 Front. Math. China 15, No. 5, 923-957 (2020). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35C08 35B40 35B35 PDFBibTeX XMLCite \textit{Z. Li}, Front. Math. China 15, No. 5, 923--957 (2020; Zbl 1465.35360) 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
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
Chen, Gong Wave equations with moving potentials. (English) Zbl 1439.35312 Commun. Math. Phys. 375, No. 2, 1503-1560 (2020). MSC: 35L05 35L15 42B37 35C08 35B35 PDFBibTeX XMLCite \textit{G. Chen}, Commun. Math. Phys. 375, No. 2, 1503--1560 (2020; Zbl 1439.35312) Full Text: DOI arXiv
Germain, Pierre; Harrop-Griffiths, Benjamin; Marzuola, Jeremy L. Compactons and their variational properties for degenerate KdV and NLS in dimension 1. (English) Zbl 1435.35334 Q. Appl. Math. 78, No. 1, 1-32 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{P. Germain} et al., Q. Appl. Math. 78, No. 1, 1--32 (2020; Zbl 1435.35334) Full Text: DOI arXiv
Chen, Gong; Jendrej, Jacek Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations. (English) Zbl 1431.37058 Trans. Am. Math. Soc. 372, No. 10, 7461-7496 (2019). MSC: 37K45 37L15 35B40 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Jendrej}, Trans. Am. Math. Soc. 372, No. 10, 7461--7496 (2019; Zbl 1431.37058) Full Text: DOI arXiv
Pasquali, S. Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit. (English) Zbl 1416.37065 Ann. Mat. Pura Appl. (4) 198, No. 3, 903-972 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37K55 37K40 81Q05 PDFBibTeX XMLCite \textit{S. Pasquali}, Ann. Mat. Pura Appl. (4) 198, No. 3, 903--972 (2019; Zbl 1416.37065) Full Text: DOI arXiv
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Endpoint Strichartz estimates for charge transfer Hamiltonians. (English) Zbl 1412.35281 Indiana Univ. Math. J. 67, No. 6, 2487-2522 (2018). MSC: 35Q40 37K40 35B40 35Q55 81U05 PDFBibTeX XMLCite \textit{Q. Deng} et al., Indiana Univ. Math. J. 67, No. 6, 2487--2522 (2018; Zbl 1412.35281) 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
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
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro The point-like limit for a NLS equation with concentrated nonlinearity in dimension three. (English) Zbl 1378.35274 J. Funct. Anal. 273, No. 5, 1762-1809 (2017). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 81Q15 35B25 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., J. Funct. Anal. 273, No. 5, 1762--1809 (2017; Zbl 1378.35274) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Nonexistence of small, odd breathers for a class of nonlinear wave equations. (English) Zbl 1384.35109 Lett. Math. Phys. 107, No. 5, 921-931 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Lett. Math. Phys. 107, No. 5, 921--931 (2017; Zbl 1384.35109) Full Text: DOI arXiv
Chen, Gong Strichartz estimates for charge transfer models. (English) Zbl 1365.35150 Discrete Contin. Dyn. Syst. 37, No. 3, 1201-1226 (2017). MSC: 35Q55 35Q40 81U10 PDFBibTeX XMLCite \textit{G. Chen}, Discrete Contin. Dyn. Syst. 37, No. 3, 1201--1226 (2017; Zbl 1365.35150) 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
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Beauchard, Karine; Lange, Horst; Teismann, Holger Local exact controllability of a one-dimensional nonlinear Schrödinger equation. (English) Zbl 1326.35330 SIAM J. Control Optim. 53, No. 5, 2781-2818 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35Q93 93C20 35B09 PDFBibTeX XMLCite \textit{K. Beauchard} et al., SIAM J. Control Optim. 53, No. 5, 2781--2818 (2015; Zbl 1326.35330) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a trapping potential. (English) Zbl 1307.35276 Discrete Contin. Dyn. Syst. 35, No. 8, 3343-3376 (2015). MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Discrete Contin. Dyn. Syst. 35, No. 8, 3343--3376 (2015; Zbl 1307.35276) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv
Robbiano, Luc Kato smoothing effect for Schrödinger operator. (English) Zbl 1273.35233 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 355-369 (2013). MSC: 35Q41 35B65 PDFBibTeX XMLCite \textit{L. Robbiano}, Prog. Nonlinear Differ. Equ. Appl. 84, 355--369 (2013; Zbl 1273.35233) Full Text: DOI
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
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
Carles, Rémi Interaction of coherent states for Hartree equations. (English) Zbl 1256.35098 Arch. Ration. Mech. Anal. 204, No. 2, 559-598 (2012). MSC: 35Q40 81R30 PDFBibTeX XMLCite \textit{R. Carles}, Arch. Ration. Mech. Anal. 204, No. 2, 559--598 (2012; Zbl 1256.35098) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy The Schrödinger equation with a potential in rough motion. (English) Zbl 1245.35099 Commun. Partial Differ. Equations 37, No. 4-6, 969-1000 (2012). MSC: 35Q41 35J10 35P25 35Q55 35Q40 81U05 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Commun. Partial Differ. Equations 37, No. 4--6, 969--1000 (2012; Zbl 1245.35099) Full Text: DOI arXiv
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
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
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
Chugunova, Marina; Pelinovsky, Dmitry Count of eigenvalues in the generalized eigenvalue problem. (English) Zbl 1310.35212 J. Math. Phys. 51, No. 5, 052901, 19 p. (2010). MSC: 35Q55 35J60 35P30 35C07 37K10 PDFBibTeX XMLCite \textit{M. Chugunova} and \textit{D. Pelinovsky}, J. Math. Phys. 51, No. 5, 052901, 19 p. (2010; Zbl 1310.35212) Full Text: DOI arXiv
Goldberg, Michael A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. (English) Zbl 1223.35265 Commun. Partial Differ. Equations 35, No. 9, 1610-1634 (2010). Reviewer: Nils Ackermann (Mexico City) MSC: 35Q41 81U30 35J10 47D08 PDFBibTeX XMLCite \textit{M. Goldberg}, Commun. Partial Differ. Equations 35, No. 9, 1610--1634 (2010; Zbl 1223.35265) Full Text: DOI arXiv
Stefanov, Atanas Decay and Strichartz estimates for DNLS. (English) Zbl 1195.35282 Kevrekidis, Panayotis G., The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Berlin: Springer (ISBN 978-3-540-89198-7/hbk; 978-3-540-89199-4/ebook). Springer Tracts in Modern Physics 232, 401-412 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q55 39A12 35B40 35B45 PDFBibTeX XMLCite \textit{A. Stefanov}, Springer Tracts Mod. Phys. 232, 401--412 (2009; Zbl 1195.35282) Full Text: DOI
Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. Colliding solitons for the nonlinear Schrödinger equation. (English) Zbl 1184.35289 Commun. Math. Phys. 291, No. 1, 151-176 (2009). MSC: 35Q55 37K40 81Q05 35Q51 35C08 PDFBibTeX XMLCite \textit{W. K. Abou Salem} et al., Commun. Math. Phys. 291, No. 1, 151--176 (2009; Zbl 1184.35289) 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
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan Two-soliton solutions to the three-dimensional gravitational Hartree equation. (English) Zbl 1193.35163 Commun. Pure Appl. Math. 62, No. 11, 1501-1550 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q40 35Q51 35B40 70F05 83C50 35C05 PDFBibTeX XMLCite \textit{J. Krieger} et al., Commun. Pure Appl. Math. 62, No. 11, 1501--1550 (2009; Zbl 1193.35163) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Stability of two soliton collision for nonintegrable gKdV equations. (English) Zbl 1179.35291 Commun. Math. Phys. 286, No. 1, 39-79 (2009). MSC: 35Q53 35Q51 35B35 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Commun. Math. Phys. 286, No. 1, 39--79 (2009; Zbl 1179.35291) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Tao}, Bull. Am. Math. Soc., New Ser. 46, No. 1, 1--33 (2009; Zbl 1155.35082) Full Text: DOI arXiv
Abou Salem, Walid K. Solitary wave dynamics in time-dependent potentials. (English) Zbl 1153.81428 J. Math. Phys. 49, No. 3, 032101, 29 p. (2008). MSC: 35Q55 35Q51 37K40 PDFBibTeX XMLCite \textit{W. K. Abou Salem}, J. Math. Phys. 49, No. 3, 032101, 29 p. (2008; Zbl 1153.81428) 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
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
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 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Math. Ann. 341, No. 2, 391--427 (2008; Zbl 1153.35068) 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
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
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
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 PDFBibTeX XMLCite \textit{Y. Martel} et al., Duke Math. J. 133, No. 3, 405--466 (2006; Zbl 1099.35134) Full Text: DOI Euclid
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 PDFBibTeX XMLCite \textit{J. Krieger} and \textit{W. Schlag}, J. Am. Math. Soc. 19, No. 4, 815--920 (2006; Zbl 1281.35077) Full Text: DOI
Gang, Zhou; Sigal, I. M. Asymptotic stability of nonlinear Schrödinger equations with potential. (English) Zbl 1086.82013 Rev. Math. Phys. 17, No. 10, 1143-1207 (2005). Reviewer: David Jou (Bellaterra) MSC: 82C20 35Q55 37K45 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Rev. Math. Phys. 17, No. 10, 1143--1207 (2005; Zbl 1086.82013) Full Text: DOI arXiv
Yajima, K. Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue. (English) Zbl 1079.81021 Commun. Math. Phys. 259, No. 2, 475-509 (2005). MSC: 81Q10 47N50 35P15 35Q40 PDFBibTeX XMLCite \textit{K. Yajima}, Commun. Math. Phys. 259, No. 2, 475--509 (2005; Zbl 1079.81021) Full Text: DOI