Gagnon, Ludovick Ground state solitary waves local controllability for the nonlinear focusing Schrödinger equation in the mass critical and mass slightly subcritical case. (English) Zbl 1526.93009 J. Differ. Equations 376, 235-282 (2023). MSC: 93B05 93C20 35Q51 35Q55 93C10 PDFBibTeX XMLCite \textit{L. Gagnon}, J. Differ. Equations 376, 235--282 (2023; Zbl 1526.93009) Full Text: DOI
Friedman, Isaac; Riaño, Oscar; Roudenko, Svetlana; Son, Diana; Yang, Kai Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity. (English) Zbl 1511.35313 Nonlinearity 36, No. 1, 584-635 (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35Q35 35B40 35B44 35A01 35A02 35C08 65M70 65N35 65L06 PDFBibTeX XMLCite \textit{I. Friedman} et al., Nonlinearity 36, No. 1, 584--635 (2023; Zbl 1511.35313) 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
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
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
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
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
Roudenko, Svetlana; Wang, Zhongming; Yang, Kai Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study. (English) Zbl 07515841 J. Comput. Phys. 445, Article ID 110570, 25 p. (2021). MSC: 35Qxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{S. Roudenko} et al., J. Comput. Phys. 445, Article ID 110570, 25 p. (2021; Zbl 07515841) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. (English) Zbl 1475.35305 Arch. Ration. Mech. Anal. 241, No. 3, 1459-1527 (2021). MSC: 35Q53 35B40 35B05 35P25 35C08 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1459--1527 (2021; Zbl 1475.35305) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. (English) Zbl 1455.35021 SIAM J. Math. Anal. 52, No. 6, 6379-6411 (2020). MSC: 35B40 35L71 35L15 35P25 35Q51 35Q56 PDFBibTeX XMLCite \textit{H. Lindblad} et al., SIAM J. Math. Anal. 52, No. 6, 6379--6411 (2020; Zbl 1455.35021) 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
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
Li, Ze; Zhao, Lifeng Asymptotic behaviors for nonlinear dispersive equations with damping or dissipative terms. (English) Zbl 1475.35208 Sémin. Laurent Schwartz, EDP Appl. 2017-2018, Exp. No. 6, 11 p. (2018). MSC: 35L71 35B40 PDFBibTeX XMLCite \textit{Z. Li} and \textit{L. Zhao}, Sémin. Laurent Schwartz, EDP Appl. 2017--2018, Exp. No. 6, 11 p. (2018; Zbl 1475.35208) 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
Roy, Tristan A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrödinger equations. (English) Zbl 1379.35295 J. Hyperbolic Differ. Equ. 14, No. 2, 249-300 (2017). MSC: 35Q55 35B40 35C08 35Q41 PDFBibTeX XMLCite \textit{T. Roy}, J. Hyperbolic Differ. Equ. 14, No. 2, 249--300 (2017; Zbl 1379.35295) 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
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
Donninger, Roland; Krieger, Joachim Nonscattering solutions and blowup at infinity for the critical wave equation. (English) Zbl 1280.35135 Math. Ann. 357, No. 1, 89-163 (2013). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35L05 35B33 35B40 35B44 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{J. Krieger}, Math. Ann. 357, No. 1, 89--163 (2013; Zbl 1280.35135) 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
Holmer, Justin; Roudenko, Svetlana A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation. (English) Zbl 1155.35094 Commun. Math. Phys. 282, No. 2, 435-467 (2008). MSC: 35Q55 35Q51 35B40 35B45 PDFBibTeX XMLCite \textit{J. Holmer} and \textit{S. Roudenko}, Commun. Math. Phys. 282, No. 2, 435--467 (2008; Zbl 1155.35094) Full Text: DOI arXiv