Lührmann, Jonas; Schlag, Wilhelm Asymptotic stability of the sine-Gordon kink under odd perturbations. (English) Zbl 07783729 Duke Math. J. 172, No. 14, 2715-2820 (2023). Reviewer: Michał Kowalczyk (Santiago de Chile) MSC: 35B35 35C08 35L71 PDFBibTeX XMLCite \textit{J. Lührmann} and \textit{W. Schlag}, Duke Math. J. 172, No. 14, 2715--2820 (2023; Zbl 07783729) Full Text: DOI arXiv Link
Lawrie, Andrew; Lührmann, Jonas; Oh, Sung-Jin; Shahshahani, Sohrab Asymptotic stability of harmonic maps on the hyperbolic plane under the Schrödinger maps evolution. (English) Zbl 07748334 Commun. Pure Appl. Math. 76, No. 3, 453-584 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 58J45 35B65 35Q41 35R01 PDFBibTeX XMLCite \textit{A. Lawrie} et al., Commun. Pure Appl. Math. 76, No. 3, 453--584 (2023; Zbl 07748334) Full Text: DOI arXiv
Hameedi, Sameh N.; Sagiv, Amir; Weinstein, Michael I. Radiative decay of edge states in Floquet media. (English) Zbl 07733300 Multiscale Model. Simul. 21, No. 3, 925-963 (2023). MSC: 81Q05 35Q41 35B34 35B20 35B27 78M40 PDFBibTeX XMLCite \textit{S. N. Hameedi} et al., Multiscale Model. Simul. 21, No. 3, 925--963 (2023; Zbl 07733300) 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
Hofstrand, Andrew; Li, Huaiyu; Weinstein, Michael I. Discrete breathers of nonlinear dimer lattices: bridging the anti-continuous and continuous limits. (English) Zbl 1521.34013 J. Nonlinear Sci. 33, No. 4, Paper No. 59, 52 p. (2023). Reviewer: Caidi Zhao (Wenzhou) MSC: 34A33 34C25 34C15 34E10 PDFBibTeX XMLCite \textit{A. Hofstrand} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 59, 52 p. (2023; Zbl 1521.34013) Full Text: DOI arXiv
Goudon, Thierry; Vivion, Léo On quantum dissipative systems: ground states and orbital stability. (Sur les systèmes quantiques dissipatifs: états fondamentaux et stabilité orbitale.) (English. French summary) Zbl 1522.35425 J. Éc. Polytech., Math. 10, 447-511 (2023). MSC: 35Q40 35Q51 35Q55 35Q41 35A01 35B35 35B20 81S22 PDFBibTeX XMLCite \textit{T. Goudon} and \textit{L. Vivion}, J. Éc. Polytech., Math. 10, 447--511 (2023; Zbl 1522.35425) Full Text: DOI
Cuccagna, Scipio; Maeda, Masaya; Scrobogna, Stefano Small energy stabilization for 1D nonlinear Klein Gordon equations. (English) Zbl 1508.35142 J. Differ. Equations 350, 52-88 (2023). MSC: 35Q55 35A01 35A02 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} et al., J. Differ. Equations 350, 52--88 (2023; Zbl 1508.35142) Full Text: DOI arXiv
Li, Yongming; Lührmann, Jonas Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry. (English) Zbl 1503.35201 J. Differ. Equations 344, 172-202 (2023). MSC: 35Q51 35Q53 35B40 35B35 35B06 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Lührmann}, J. Differ. Equations 344, 172--202 (2023; Zbl 1503.35201) 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
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
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
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
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 PDFBibTeX XMLCite \textit{P. Germain} and \textit{F. Pusateri}, Forum Math. Pi 10, Paper No. e17, 172 p. (2022; Zbl 1495.35126) Full Text: DOI arXiv
Kopylova, Elena Klein-Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves. (English) Zbl 1492.35167 Nonlinearity 35, No. 7, 3593-3629 (2022). MSC: 35L71 35B35 35B40 35C08 47F05 PDFBibTeX XMLCite \textit{E. Kopylova}, Nonlinearity 35, No. 7, 3593--3629 (2022; Zbl 1492.35167) Full Text: DOI
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 PDFBibTeX XMLCite \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
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
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 PDFBibTeX XMLCite \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
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
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
Bizoń, Piotr; Dunajski, Maciej; Kahl, Michał; Kowalczyk, Michał Sine-Gordon on a wormhole. (English) Zbl 1467.35092 Nonlinearity 34, No. 8, 5520-5537 (2021). MSC: 35C08 35L71 PDFBibTeX XMLCite \textit{P. Bizoń} et al., Nonlinearity 34, No. 8, 5520--5537 (2021; Zbl 1467.35092) Full Text: DOI arXiv Link
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
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
Léger, Tristan Scattering for a particle interacting with a Bose gas. (English) Zbl 1462.35359 Commun. Partial Differ. Equations 45, No. 10, 1381-1413 (2020). MSC: 35Q55 82D05 35C08 76G25 35B40 PDFBibTeX XMLCite \textit{T. Léger}, Commun. Partial Differ. Equations 45, No. 10, 1381--1413 (2020; Zbl 1462.35359) 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
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
Muñoz, Claudio; Palacios, José M. Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space. (English) Zbl 1420.35163 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 977-1034 (2019). Reviewer: Denis Borisov (Ufa) MSC: 35L71 35Q53 35B35 PDFBibTeX XMLCite \textit{C. Muñoz} and \textit{J. M. Palacios}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 4, 977--1034 (2019; Zbl 1420.35163) 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
Li, Hepeng; Yuan, Xiaoping Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum. (English) Zbl 1408.35179 J. Math. Phys. 59, No. 11, 112701, 23 p. (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 35B15 35P30 70K43 35B35 PDFBibTeX XMLCite \textit{H. Li} and \textit{X. Yuan}, J. Math. Phys. 59, No. 11, 112701, 23 p. (2018; Zbl 1408.35179) Full Text: DOI
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
Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. Scattering in the energy space for Boussinesq equations. (English) Zbl 1398.35203 Commun. Math. Phys. 361, No. 1, 127-141 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q53 35Q35 35P25 PDFBibTeX XMLCite \textit{C. Muñoz} et al., Commun. Math. Phys. 361, No. 1, 127--141 (2018; Zbl 1398.35203) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Snelson}, Trans. Am. Math. Soc. 370, No. 10, 7437--7460 (2018; Zbl 1415.35208) 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
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
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 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
Jenkinson, M.; Weinstein, M. I. Discrete solitary waves in systems with nonlocal interactions and the Peierls-Nabarro barrier. (English) Zbl 1397.35276 Commun. Math. Phys. 351, No. 1, 45-94 (2017). Reviewer: Gilles Evéquoz (Delémont) MSC: 35Q55 35C08 35B32 82B20 35R11 35C20 PDFBibTeX XMLCite \textit{M. Jenkinson} and \textit{M. I. Weinstein}, Commun. Math. Phys. 351, No. 1, 45--94 (2017; Zbl 1397.35276) Full Text: DOI arXiv
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
Cheng, Xing; Li, Ze; Zhao, Lifeng Scattering of solutions to the nonlinear Schrödinger equations with regular potentials. (English) Zbl 1361.35162 Discrete Contin. Dyn. Syst. 37, No. 6, 2999-3023 (2017). MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{X. Cheng} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 2999--3023 (2017; Zbl 1361.35162) 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
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
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
Kopylova, E. A.; Komech, A. I. Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle. (English) Zbl 1342.81642 Russ. J. Math. Phys. 23, No. 1, 93-100 (2016). MSC: 81U05 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Russ. J. Math. Phys. 23, No. 1, 93--100 (2016; Zbl 1342.81642) Full Text: DOI arXiv
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
Côte, Raphaël; Muñoz, Claudio; Pilod, Didier; Simpson, Gideon Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons. (English) Zbl 1334.35276 Arch. Ration. Mech. Anal. 220, No. 2, 639-710 (2016). MSC: 35Q53 35J60 35B40 35Q51 35C08 PDFBibTeX XMLCite \textit{R. Côte} et al., Arch. Ration. Mech. Anal. 220, No. 2, 639--710 (2016; Zbl 1334.35276) 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
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
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
Fang, Guo-bei; Lü, Zhong-xue Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinger equations. (English) Zbl 1339.35286 Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1021-1032 (2015). MSC: 35Q55 35J50 35B45 35B09 35C08 78A60 PDFBibTeX XMLCite \textit{G.-b. Fang} and \textit{Z.-x. Lü}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1021--1032 (2015; Zbl 1339.35286) Full Text: DOI
Prill, Oskar Asymptotic stability of the vacuum solution for one-dimensional nonlinear Klein-Gordon equations with a perturbed one-gap periodic potential with and without an eigenvalue. (English) Zbl 1335.35160 ZAMM, Z. Angew. Math. Mech. 95, No. 8, 778-821 (2015). MSC: 35L71 35L15 35B40 35B35 PDFBibTeX XMLCite \textit{O. Prill}, ZAMM, Z. Angew. Math. Mech. 95, No. 8, 778--821 (2015; Zbl 1335.35160) Full Text: DOI
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
Jia, Hao; Liu, Baoping; Xu, Guixiang Long time dynamics of defocusing energy critical \(3+1\) dimensional wave equation with potential in the radial case. (English) Zbl 1329.35208 Commun. Math. Phys. 339, No. 2, 353-384 (2015). MSC: 35L71 35L15 35B40 35B07 PDFBibTeX XMLCite \textit{H. Jia} et al., Commun. Math. Phys. 339, No. 2, 353--384 (2015; Zbl 1329.35208) 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
Ali, Amir; Susanto, Hadi; D. Wattis, Jonathan A. Decay of bound states in a sine-Gordon equation with double-well potentials. (English) Zbl 1319.35233 J. Math. Phys. 56, No. 5, 051502, 28 p. (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q55 35L70 82D55 PDFBibTeX XMLCite \textit{A. Ali} et al., J. Math. Phys. 56, No. 5, 051502, 28 p. (2015; Zbl 1319.35233) Full Text: DOI Link
Komech, A. I.; Kopylova, E. A. Weighted energy decay for magnetic Klein-Gordon equation. (English) Zbl 1311.35028 Appl. Anal. 94, No. 2, 218-232 (2015). MSC: 35B40 35L10 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Appl. Anal. 94, No. 2, 218--232 (2015; Zbl 1311.35028) Full Text: DOI arXiv
Huang, Wenyi Standing waves and global existence for nonlinear wave equations with potential, strong, and nonlinear damping terms. (English) Zbl 1304.35426 Bound. Value Probl. 2014, Paper No. 144, 14 p. (2014). MSC: 35L71 35B44 35L15 PDFBibTeX XMLCite \textit{W. Huang}, Bound. Value Probl. 2014, Paper No. 144, 14 p. (2014; Zbl 1304.35426) Full Text: DOI
Tang, Xing Dong; Zhang, Ji Hui On the blowup phenomenon for \(N\)-coupled focusing Schrödinger system in \(\mathbb{R}^{d} (d \geq 3)\). (English) Zbl 1304.35657 Acta Math. Sin., Engl. Ser. 30, No. 7, 1161-1179 (2014). MSC: 35Q55 35E15 35B44 35A01 35A15 PDFBibTeX XMLCite \textit{X. D. Tang} and \textit{J. H. Zhang}, Acta Math. Sin., Engl. Ser. 30, No. 7, 1161--1179 (2014; Zbl 1304.35657) Full Text: DOI
Fröhlich, Jürg; Gang, Zhou Emission of Cherenkov radiation as a mechanism for Hamiltonian friction. (English) Zbl 1305.82043 Adv. Math. 264, 183-235 (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C22 78A40 82D10 76J20 82D05 PDFBibTeX XMLCite \textit{J. Fröhlich} and \textit{Z. Gang}, Adv. Math. 264, 183--235 (2014; Zbl 1305.82043) 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
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
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
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
Bambusi, Dario Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. (English) Zbl 1267.35140 Commun. Math. Phys. 320, No. 2, 499-542 (2013). MSC: 35P15 35Q55 35C08 35B06 PDFBibTeX XMLCite \textit{D. Bambusi}, Commun. Math. Phys. 320, No. 2, 499--542 (2013; Zbl 1267.35140) 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
Lescarret, Vincent; Schneider, Guido Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide. (English) Zbl 1253.35173 Z. Angew. Math. Phys. 63, No. 3, 401-427 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 35C08 78A05 34E20 PDFBibTeX XMLCite \textit{V. Lescarret} and \textit{G. Schneider}, Z. Angew. Math. Phys. 63, No. 3, 401--427 (2012; Zbl 1253.35173) Full Text: DOI HAL
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
Bizoń, Piotr; Chmaj, Tadeusz; Szpak, Nikodem Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation. (English) Zbl 1272.35174 J. Math. Phys. 52, No. 10, 103703, 11 p. (2011). MSC: 35Q55 81T10 35B44 81T80 PDFBibTeX XMLCite \textit{P. Bizoń} et al., J. Math. Phys. 52, No. 10, 103703, 11 p. (2011; Zbl 1272.35174) 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
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
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; 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
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
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
Song, Xianfa Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities. (English) Zbl 1309.35144 J. Math. Phys. 51, No. 3, 033509, 21 p. (2010); erratum ibid. 51, No. 10, 109901, 2 p. (2010). MSC: 35Q55 35G55 35A01 35B44 PDFBibTeX XMLCite \textit{X. Song}, J. Math. Phys. 51, No. 3, 033509, 21 p. (2010; Zbl 1309.35144) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. A. Kopylova}, Russ. J. Math. Phys. 17, No. 2, 226--239 (2010; Zbl 1251.35103) Full Text: DOI
Gan, Zaihui; Guo, Boling; Xin, Jie Instability of standing waves for Hamiltonian wave equations. (English) Zbl 1209.35006 Chin. Ann. Math., Ser. B 31, No. 2, 219-230 (2010). MSC: 35A15 35B25 35J60 PDFBibTeX XMLCite \textit{Z. Gan} et al., Chin. Ann. Math., Ser. B 31, No. 2, 219--230 (2010; Zbl 1209.35006) 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
Masmoudi, Nader; Nakanishi, Kenji From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system. (English) Zbl 1197.35244 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 4, 1073-1096 (2010). MSC: 35Q53 35Q55 35A35 35B45 PDFBibTeX XMLCite \textit{N. Masmoudi} and \textit{K. Nakanishi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 4, 1073--1096 (2010; Zbl 1197.35244) 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
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 PDFBibTeX XMLCite \textit{E. A. Kopylova}, J. Math. Anal. Appl. 366, No. 2, 494--505 (2010; Zbl 1191.35060) 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
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
Komech, A. I.; Merzon, A. E. On asymptotic completeness for scattering in the nonlinear Lamb system. (English) Zbl 1202.81200 J. Math. Phys. 50, No. 2, 023514, 10 p. (2009). MSC: 81U05 35P25 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{A. E. Merzon}, J. Math. Phys. 50, No. 2, 023514, 10 p. (2009; Zbl 1202.81200) Full Text: DOI Link
Gentile, Guido; Procesi, Michela Periodic solutions for a class of nonlinear partial differential equations in higher dimension. (English) Zbl 1172.35065 Commun. Math. Phys. 289, No. 3, 863-906 (2009). MSC: 35Q53 35Q55 35B10 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{M. Procesi}, Commun. Math. Phys. 289, No. 3, 863--906 (2009; Zbl 1172.35065) Full Text: DOI arXiv
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
Jiang, Yi; Gan, Zaihui; He, Yiran Standing waves and global existence for the nonlinear wave equation with potential and damping terms. (English) Zbl 1173.35085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 697-707 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35L15 35A15 35Q55 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 697--707 (2009; Zbl 1173.35085) Full Text: DOI
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
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