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
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
Arbunich, J.; Faupin, J.; Pusateri, F.; Sigal, I. M. Maximal speed of quantum propagation for the Hartree equation. (English) Zbl 07713802 Commun. Partial Differ. Equations 48, No. 4, 542-575 (2023). MSC: 35Q55 35Q41 35Q40 81V73 81V70 35B65 37K10 35P10 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Commun. Partial Differ. Equations 48, No. 4, 542--575 (2023; Zbl 07713802) Full Text: DOI arXiv
Klaus, Friedrich Wellposedness of NLS in modulation spaces. (English) Zbl 1505.35326 J. Fourier Anal. Appl. 29, No. 1, Paper No. 9, 37 p. (2023). MSC: 35Q55 35Q41 37K10 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{F. Klaus}, J. Fourier Anal. Appl. 29, No. 1, Paper No. 9, 37 p. (2023; Zbl 1505.35326) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya Asymptotic stability of kink with internal modes under odd perturbation. (English) Zbl 1500.35038 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 1, 47 p. (2023). MSC: 35B40 35L71 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 1, 47 p. (2023; Zbl 1500.35038) Full Text: DOI arXiv
Koch, Herbert (ed.); Raphaël, Pierre (ed.); Tataru, Daniel (ed.); Vișan, Monica (ed.) Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 – July 2, 2022. (English) Zbl 1519.00023 Oberwolfach Rep. 19, No. 2, 1661-1730 (2022). MSC: 00B05 00B25 35-06 35Qxx 37-06 37Kxx 76-06 76-XX PDFBibTeX XMLCite \textit{H. Koch} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1661--1730 (2022; Zbl 1519.00023) Full Text: DOI
Nahmod, Andrea R. (ed.); Staffilani, Gigliola (ed.); Weber, Hendrik (ed.); Wu, Sijue (ed.) Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. (English) Zbl 1519.00026 Oberwolfach Rep. 19, No. 2, 1431-1499 (2022). MSC: 00B05 00B25 35-06 37-06 60-06 60Hxx 37M10 35R60 PDFBibTeX XMLCite \textit{A. R. Nahmod} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1431--1499 (2022; Zbl 1519.00026) Full Text: DOI
Léger, Tristan; Pusateri, Fabio Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations. (English) Zbl 1511.35243 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695-727 (2022). MSC: 35L71 35L15 35P25 35Q40 37K55 PDFBibTeX XMLCite \textit{T. Léger} and \textit{F. Pusateri}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 3, 695--727 (2022; Zbl 1511.35243) Full Text: DOI arXiv
Maspero, A. Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon. (English) Zbl 1504.35424 Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022). MSC: 35Q41 35S10 37K45 PDFBibTeX XMLCite \textit{A. Maspero}, Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022; Zbl 1504.35424) Full Text: DOI arXiv
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (English) Zbl 1504.35068 Duke Math. J. 171, No. 18, 3643-3705 (2022). MSC: 35B40 35C08 35L71 37K40 PDFBibTeX XMLCite \textit{J. Jendrej} et al., Duke Math. J. 171, No. 18, 3643--3705 (2022; Zbl 1504.35068) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential. (English) Zbl 1503.35208 Commun. Math. Phys. 396, No. 3, 1135-1186 (2022). MSC: 35Q55 35C08 35L71 35B40 37K40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Commun. Math. Phys. 396, No. 3, 1135--1186 (2022; Zbl 1503.35208) Full Text: DOI arXiv
Andersson, Lars; Bäckdahl, Thomas; Blue, Pieter; Ma, Siyuan Nonlinear radiation gauge for near Kerr spacetimes. (English) Zbl 1512.83003 Commun. Math. Phys. 396, No. 1, 45-90 (2022). MSC: 83C05 83C30 70S15 37F50 83C57 PDFBibTeX XMLCite \textit{L. Andersson} et al., Commun. Math. Phys. 396, No. 1, 45--90 (2022; Zbl 1512.83003) Full Text: DOI arXiv
Palacios, José Manuel Orbital stability and instability of periodic wave solutions for the \(\phi^4\)-model. (English) Zbl 1498.35050 SN Partial Differ. Equ. Appl. 3, No. 4, Paper No. 56, 31 p. (2022). MSC: 35B35 35B10 35C07 35C08 35L71 37K45 PDFBibTeX XMLCite \textit{J. M. Palacios}, SN Partial Differ. Equ. Appl. 3, No. 4, Paper No. 56, 31 p. (2022; Zbl 1498.35050) Full Text: DOI arXiv
Abeya, Asela; Biondini, Gino; Prinari, Barbara Inverse scattering transform for the defocusing Manakov system with non-parallel boundary conditions at infinity. (English) Zbl 1495.35151 East Asian J. Appl. Math. 12, No. 4, 715-760 (2022). MSC: 35Q51 35B10 35C08 37K10 PDFBibTeX XMLCite \textit{A. Abeya} et al., East Asian J. Appl. Math. 12, No. 4, 715--760 (2022; Zbl 1495.35151) Full Text: DOI
Klaus, Friedrich; Kunstmann, Peer Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\). (English) Zbl 1504.35488 J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022). MSC: 35Q55 35Q41 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{F. Klaus} and \textit{P. Kunstmann}, J. Math. Anal. Appl. 514, No. 2, Article ID 126359, 14 p. (2022; Zbl 1504.35488) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 1486.35017) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. (English) Zbl 1486.35122 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133-2167 (2022). MSC: 35C08 35B40 35L71 37K40 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133--2167 (2022; Zbl 1486.35122) 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
Escobedo, M. Classical approximation of a linearized three waves kinetic equation. (English) Zbl 1491.35382 J. Funct. Anal. 282, No. 8, Article ID 109390, 87 p. (2022). MSC: 35Q49 82C40 35B65 37K10 81V73 PDFBibTeX XMLCite \textit{M. Escobedo}, J. Funct. Anal. 282, No. 8, Article ID 109390, 87 p. (2022; Zbl 1491.35382) Full Text: DOI arXiv
Hintz, Peter Normally hyperbolic trapping on asymptotically stationary spacetimes. (English) Zbl 1492.37035 Probab. Math. Phys. 2, No. 1, 71-126 (2021). MSC: 37D10 37D05 58J47 35L05 58J40 83C57 PDFBibTeX XMLCite \textit{P. Hintz}, Probab. Math. Phys. 2, No. 1, 71--126 (2021; Zbl 1492.37035) 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
Craciun, Gheorghe; Tran, Minh-Binh A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. (English) Zbl 1479.35594 ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021). MSC: 35Q20 45A05 47G10 82B40 37N25 92C42 37C10 80A30 92D25 81V73 35B41 82C10 PDFBibTeX XMLCite \textit{G. Craciun} and \textit{M.-B. Tran}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 83, 25 p. (2021; Zbl 1479.35594) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. (English) Zbl 1476.35233 J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021; Zbl 1476.35233) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021; Zbl 1469.35150) Full Text: DOI arXiv
Wang, W.-M. Semi-algebraic sets method in PDE and mathematical physics. (English) Zbl 1460.35011 J. Math. Phys. 62, No. 2, Article ID 021506, 12 p. (2021). MSC: 35B15 35G20 35L71 35Q55 37K55 PDFBibTeX XMLCite \textit{W. M. Wang}, J. Math. Phys. 62, No. 2, Article ID 021506, 12 p. (2021; Zbl 1460.35011) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Comech} and \textit{S. Cuccagna}, Discrete Contin. Dyn. Syst. 41, No. 3, 1225--1270 (2021; Zbl 1460.35321) Full Text: DOI arXiv
Beck, Margaret; Cooper, Eric; Lord, Gabriel; Spiliopoulos, Konstantinos Selection of quasi-stationary states in the stochastically forced Navier-Stokes equation on the torus. (English) Zbl 1446.37064 J. Nonlinear Sci. 30, No. 4, 1677-1702 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 37L55 37N10 37H10 35Q30 76D05 76D06 76D17 PDFBibTeX XMLCite \textit{M. Beck} et al., J. Nonlinear Sci. 30, No. 4, 1677--1702 (2020; Zbl 1446.37064) Full Text: DOI arXiv
Germain, Pierre; Ionescu, Alexandru D.; Tran, Minh-Binh Optimal local well-posedness theory for the kinetic wave equation. (English) Zbl 1442.35287 J. Funct. Anal. 279, No. 4, Article ID 108570, 27 p. (2020). MSC: 35Q20 37K06 35Q55 35C07 45G05 35B40 35D30 35A01 35A02 82C40 82C10 PDFBibTeX XMLCite \textit{P. Germain} et al., J. Funct. Anal. 279, No. 4, Article ID 108570, 27 p. (2020; Zbl 1442.35287) Full Text: DOI arXiv
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav A reaction network approach to the theory of acoustic wave turbulence. (English) Zbl 1434.35040 J. Differ. Equations 269, No. 5, 4332-4352 (2020). MSC: 35Q20 47G10 82B40 37N25 92C42 37C10 80A30 92D25 PDFBibTeX XMLCite \textit{M.-B. Tran} et al., J. Differ. Equations 269, No. 5, 4332--4352 (2020; Zbl 1434.35040) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Comech}, Arnold Math. J. 5, No. 2--3, 315--338 (2019; Zbl 1433.37067) 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
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On the variational structure of breather solutions. I: Sine-Gordon equation. (English) Zbl 1366.65102 J. Math. Anal. Appl. 453, No. 2, 1111-1138 (2017). MSC: 65N22 35J60 37K10 35B35 PDFBibTeX XMLCite \textit{M. A. Alejo} et al., J. Math. Anal. Appl. 453, No. 2, 1111--1138 (2017; Zbl 1366.65102) Full Text: DOI
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. (English) Zbl 1387.35419 J. Am. Math. Soc. 30, No. 3, 769-798 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35L71 35Q51 37K40 35B35 35L15 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., J. Am. Math. Soc. 30, No. 3, 769--798 (2017; Zbl 1387.35419) Full Text: DOI arXiv
Lawrie, Andrew; Oh, Sung-Jin; Shahshahani, Sohrab Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space. (English) Zbl 1376.37076 J. Funct. Anal. 271, No. 11, 3111-3161 (2016). Reviewer: S. G. Pyatkov (Khanty-Mansiysk) MSC: 37D40 35P20 58J45 35R01 35P05 35L71 PDFBibTeX XMLCite \textit{A. Lawrie} et al., J. Funct. Anal. 271, No. 11, 3111--3161 (2016; Zbl 1376.37076) Full Text: DOI arXiv
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
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
Fishman, S.; Soffer, A. Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. (English) Zbl 1348.81227 J. Math. Phys. 57, No. 7, 072101, 22 p. (2016). Reviewer: Giovanni Rastelli (Vercelli) MSC: 81Q05 35Q41 47A35 81U05 37A35 PDFBibTeX XMLCite \textit{S. Fishman} and \textit{A. Soffer}, J. Math. Phys. 57, No. 7, 072101, 22 p. (2016; Zbl 1348.81227) Full Text: DOI arXiv
Muñoz, Claudio The Gardner equation and the stability of multi-kink solutions of the mKdV equation. (English) Zbl 1336.35313 Discrete Contin. Dyn. Syst. 36, No. 7, 3811-3843 (2016). MSC: 35Q51 35Q53 35Q35 37K10 37K40 35B35 PDFBibTeX XMLCite \textit{C. Muñoz}, Discrete Contin. Dyn. Syst. 36, No. 7, 3811--3843 (2016; Zbl 1336.35313) Full Text: DOI arXiv
Jenkinson, M.; Weinstein, M. I. Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls-Nabarro barrier. (English) Zbl 1357.37087 Nonlinearity 29, No. 1, 27-86 (2016). MSC: 37L60 39A22 35Q55 39A14 PDFBibTeX XMLCite \textit{M. Jenkinson} and \textit{M. I. Weinstein}, Nonlinearity 29, No. 1, 27--86 (2016; Zbl 1357.37087) 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
Flach, Sergej Nonlinear lattice waves in random potentials. (English) Zbl 1359.37136 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, 1-48 (2015). MSC: 37K60 74J30 37N10 37N20 PDFBibTeX XMLCite \textit{S. Flach}, Lect. Notes Math. 2146, 1--48 (2015; Zbl 1359.37136) Full Text: DOI arXiv
Lampart, Jonas; Lewin, Mathieu A many-body RAGE theorem. (English) Zbl 1326.81066 Commun. Math. Phys. 340, No. 3, 1171-1186 (2015). MSC: 81Q05 81Q10 81V70 81S05 37A35 PDFBibTeX XMLCite \textit{J. Lampart} and \textit{M. Lewin}, Commun. Math. Phys. 340, No. 3, 1171--1186 (2015; Zbl 1326.81066) Full Text: DOI arXiv
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. (English) Zbl 1351.37258 J. Differ. Equations 259, No. 6, 2180-2279 (2015). MSC: 37K60 35Q70 37J40 37D05 70H08 70K43 PDFBibTeX XMLCite \textit{E. Fontich} et al., J. Differ. Equations 259, No. 6, 2180--2279 (2015; Zbl 1351.37258) Full Text: DOI arXiv
Derks, Gianne Stability of fronts in inhomogeneous wave equations. (English) Zbl 1320.35134 Acta Appl. Math. 137, No. 1, 61-78 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35C07 35B35 35Q53 35Q41 37K45 35L71 PDFBibTeX XMLCite \textit{G. Derks}, Acta Appl. Math. 137, No. 1, 61--78 (2015; Zbl 1320.35134) Full Text: DOI Link
Donninger, Roland; Schörkhuber, Birgit A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1321.47096 J. Funct. Anal. 268, No. 9, 2479-2524 (2015). MSC: 47D06 37H10 60H15 47F05 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Funct. Anal. 268, No. 9, 2479--2524 (2015; Zbl 1321.47096) Full Text: DOI arXiv
Könenberg, M.; Merkli, M.; Song, H. Ergodicity of the spin-boson model for arbitrary coupling strength. (English) Zbl 1311.81255 Commun. Math. Phys. 336, No. 1, 261-285 (2015). MSC: 81V70 81Q10 30H20 82C22 37C40 PDFBibTeX XMLCite \textit{M. Könenberg} et al., Commun. Math. Phys. 336, No. 1, 261--285 (2015; Zbl 1311.81255) 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
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
Cuccagna, Scipio; Pelinovsky, Dmitry E. The asymptotic stability of solitons in the cubic NLS equation on the line. (English) Zbl 1457.35067 Appl. Anal. 93, No. 4, 791-822 (2014). MSC: 35Q55 37K15 37K35 37K40 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{D. E. Pelinovsky}, Appl. Anal. 93, No. 4, 791--822 (2014; Zbl 1457.35067) 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
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
Alejo, Miguel A.; Muñoz, Claudio Nonlinear stability of MKdV breathers. (English) Zbl 1280.35123 Commun. Math. Phys. 324, No. 1, 233-262 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{M. A. Alejo} and \textit{C. Muñoz}, Commun. Math. Phys. 324, No. 1, 233--262 (2013; Zbl 1280.35123) Full Text: DOI arXiv
Côte, Raphaël; Zaag, Hatem Construction of a multisoliton blowup solution to the semilinear wave equation in one space dimension. (English) Zbl 1295.35124 Commun. Pure Appl. Math. 66, No. 10, 1541-1581 (2013). Reviewer: Yvan Martel (Palaiseau) MSC: 35B44 35L71 35B40 37K40 35C08 PDFBibTeX XMLCite \textit{R. Côte} and \textit{H. Zaag}, Commun. Pure Appl. Math. 66, No. 10, 1541--1581 (2013; Zbl 1295.35124) 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
Holzegel, Gustav; Smulevici, Jacques Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system. (English) Zbl 1259.83012 Commun. Math. Phys. 317, No. 1, 205-251 (2013). MSC: 83C57 83C05 37N20 35L05 53B30 83C25 83C15 PDFBibTeX XMLCite \textit{G. Holzegel} and \textit{J. Smulevici}, Commun. Math. Phys. 317, No. 1, 205--251 (2013; Zbl 1259.83012) Full Text: DOI arXiv
Zhang, Shiwen; Zhao, Zhiyan Diffusion bound and reducibility for discrete Schrödinger equations with tangent potential. (English) Zbl 1268.37086 Front. Math. China 7, No. 6, 1213-1235 (2012). Reviewer: Gheorghe Zet (Iaşi) MSC: 37K55 35P30 37K60 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Z. Zhao}, Front. Math. China 7, No. 6, 1213--1235 (2012; Zbl 1268.37086) Full Text: DOI
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
Aubry, Serge J. KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model. (English) Zbl 1248.37053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2125-2145 (2011). MSC: 37J40 37K60 37H99 PDFBibTeX XMLCite \textit{S. J. Aubry}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2125--2145 (2011; Zbl 1248.37053) Full Text: DOI
Komech, A. I.; Kopylova, E. A.; Spohn, H. Scattering of solitons for Dirac equation coupled to a particle. (English) Zbl 1229.35228 J. Math. Anal. Appl. 383, No. 2, 265-290 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q51 35C08 34L40 37J10 37M15 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Math. Anal. Appl. 383, No. 2, 265--290 (2011; Zbl 1229.35228) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, J. Differ. Equations 250, No. 5, 2347--2371 (2011; Zbl 1216.35134) Full Text: DOI arXiv
Thierry, Daudé Time-dependent scattering theory for charged Dirac fields on a Reissner-Nordström black hole. (English) Zbl 1314.81087 J. Math. Phys. 51, No. 10, 102504, 57 p. (2010). MSC: 81Q35 81Q05 81U20 82C10 83C57 37L05 47A40 PDFBibTeX XMLCite \textit{D. Thierry}, J. Math. Phys. 51, No. 10, 102504, 57 p. (2010; Zbl 1314.81087) Full Text: DOI
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
Jüngel, Ansgar; Mennemann, Jan-Frederik Time-dependent simulations of quantum waveguides using a time-splitting spectral method. (English) Zbl 1205.81091 Math. Comput. Simul. 81, No. 4, 883-898 (2010). MSC: 81Q37 81Q05 65M70 35Q41 37N20 81T80 82D77 PDFBibTeX XMLCite \textit{A. Jüngel} and \textit{J.-F. Mennemann}, Math. Comput. Simul. 81, No. 4, 883--898 (2010; Zbl 1205.81091) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. L. Marzuola} et al., J. Nonlinear Sci. 20, No. 4, 425--461 (2010; Zbl 1205.35295) 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
Costin, O.; Lebowitz, J. L.; Tanveer, S. Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size. (English) Zbl 1209.37087 Commun. Math. Phys. 296, No. 3, 681-738 (2010). Reviewer: Jiansheng Geng (Nanjing) MSC: 37K40 35Q41 81Q05 PDFBibTeX XMLCite \textit{O. Costin} et al., Commun. Math. Phys. 296, No. 3, 681--738 (2010; Zbl 1209.37087) Full Text: DOI arXiv
Hmidi, Toufik; Mantile, Andrea; Nier, Francis Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. (English) Zbl 1190.37013 Math. Phys. Anal. Geom. 13, No. 1, 83-103 (2010). MSC: 37B55 35B65 35B30 81Q05 PDFBibTeX XMLCite \textit{T. Hmidi} et al., Math. Phys. Anal. Geom. 13, No. 1, 83--103 (2010; Zbl 1190.37013) Full Text: DOI arXiv
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
Ibrahim, Slim; Majdoub, Mohamed; Masmoudi, Nader; Nakanishi, Kenji Scattering for the two-dimensional energy-critical wave equation. (English) Zbl 1206.35175 Duke Math. J. 150, No. 2, 287-329 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L71 81Q05 35Q55 35B40 35B33 37K05 37L50 PDFBibTeX XMLCite \textit{S. Ibrahim} et al., Duke Math. J. 150, No. 2, 287--329 (2009; Zbl 1206.35175) Full Text: DOI arXiv
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
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
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
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, Physica D 238, No. 1, 38--54 (2009; Zbl 1161.35500) 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
Krechetnikov, R.; Marsden, J. E. Dissipation-induced instabilities in finite dimensions. (English) Zbl 1205.70002 Rev. Mod. Phys. 79, No. 2, 519-553 (2007). MSC: 70-02 70K20 37C99 37J25 PDFBibTeX XMLCite \textit{R. Krechetnikov} and \textit{J. E. Marsden}, Rev. Mod. Phys. 79, No. 2, 519--553 (2007; Zbl 1205.70002) Full Text: DOI Backlinks: MO
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
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, A.; Kopylova, E. Scattering of solitons for the Schrödinger equation coupled to a particle. (English) Zbl 1118.35040 Russ. J. Math. Phys. 13, No. 2, 158-187 (2006). Reviewer: Wuquing Ning (Tokyo) MSC: 35Q40 81Q05 81U15 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, Russ. J. Math. Phys. 13, No. 2, 158--187 (2006; Zbl 1118.35040) Full Text: DOI arXiv
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDFBibTeX XMLCite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) 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
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
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 PDFBibTeX XMLCite \textit{S. Cuccagna}, J. Differ. Equations 223, No. 1, 112--160 (2006; Zbl 1115.35120) 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
Zhang, Jian Sharp threshold for blow up and global existence in nonlinear Schrödinger equations under a harmonic potential. (English) Zbl 1081.35109 Commun. Partial Differ. Equations 30, No. 10-12, 1429-1443 (2005). MSC: 35Q55 35A15 35B30 37K45 PDFBibTeX XMLCite \textit{J. Zhang}, Commun. Partial Differ. Equations 30, No. 10--12, 1429--1443 (2005; Zbl 1081.35109) Full Text: DOI