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
Chen, Xuantao; Lindblad, Hans Asymptotics and scattering for wave Klein-Gordon systems. (English) Zbl 1528.35146 Commun. Partial Differ. Equations 48, No. 9, 1102-1147 (2023). MSC: 35Q53 35Q75 83C05 35R30 35L55 35B40 35C20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{H. Lindblad}, Commun. Partial Differ. Equations 48, No. 9, 1102--1147 (2023; Zbl 1528.35146) Full Text: DOI arXiv
Kolkovska, Natalia; Dimova, Milena; Kutev, Nikolai Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities. (English) Zbl 1522.35107 Open Math. 21, Article ID 20220584, 22 p. (2023). MSC: 35B44 35A24 35L15 35L71 PDFBibTeX XMLCite \textit{N. Kolkovska} et al., Open Math. 21, Article ID 20220584, 22 p. (2023; Zbl 1522.35107) Full Text: DOI
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
Lindblad, Hans; Schlue, Volker Scattering from infinity for semilinear wave equations satisfying the null condition or the weak null condition. (English) Zbl 1518.35499 J. Hyperbolic Differ. Equ. 20, No. 1, 155-218 (2023). MSC: 35L71 35P25 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{V. Schlue}, J. Hyperbolic Differ. Equ. 20, No. 1, 155--218 (2023; Zbl 1518.35499) Full Text: DOI arXiv
Chen, Gong; Palacios, José M. Orbital stability and instability of periodic wave solutions for \(\phi^{4n}\)-models. (English) Zbl 1514.35030 Nonlinearity 36, No. 5, 2249-2285 (2023). MSC: 35B35 35B10 35C07 35L20 35L71 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. M. Palacios}, Nonlinearity 36, No. 5, 2249--2285 (2023; Zbl 1514.35030) Full Text: DOI arXiv
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
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
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
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
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
Alammari, Mashael; Snelson, Stanley Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations. (English) Zbl 1489.35013 J. Hyperbolic Differ. Equ. 19, No. 1, 175-201 (2022). MSC: 35B40 35C08 35L15 35L71 PDFBibTeX XMLCite \textit{M. Alammari} and \textit{S. Snelson}, J. Hyperbolic Differ. Equ. 19, No. 1, 175--201 (2022; Zbl 1489.35013) 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
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
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
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
Donninger, Roland; Glogić, Irfan Strichartz estimates for the one-dimensional wave equation. (English) Zbl 1440.35019 Trans. Am. Math. Soc. 373, No. 6, 4051-4083 (2020). MSC: 35B45 35L05 35R01 53C07 42B37 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{I. Glogić}, Trans. Am. Math. Soc. 373, No. 6, 4051--4083 (2020; Zbl 1440.35019) Full Text: DOI arXiv
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
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
Burtscher, Annegret Y.; Donninger, Roland Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. (English) Zbl 1373.35197 Commun. Math. Phys. 353, No. 2, 549-596 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L15 35B44 35C06 PDFBibTeX XMLCite \textit{A. Y. Burtscher} and \textit{R. Donninger}, Commun. Math. Phys. 353, No. 2, 549--596 (2017; Zbl 1373.35197) 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
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
Delort, Jean-Marc Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations. (Formes normales semi-classiques et solutions globales d’équations de Klein-Gordon modifiées en dimension un.) (English. French summary) Zbl 1377.35200 Ann. Inst. Fourier 66, No. 4, 1451-1528 (2016). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35A01 35B40 35A27 PDFBibTeX XMLCite \textit{J.-M. Delort}, Ann. Inst. Fourier 66, No. 4, 1451--1528 (2016; Zbl 1377.35200) Full Text: DOI