Chen, Gong; Pusateri, Fabio On the \(1d\) cubic NLS with a non-generic potential. (English) Zbl 07804753 Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024). MSC: 35Q55 35B40 35B34 35B65 42A38 35P30 PDFBibTeX XMLCite \textit{G. Chen} and \textit{F. Pusateri}, Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024; Zbl 07804753) Full Text: DOI arXiv
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
Jia, Junqing; Jiang, Xiaoyun Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity. (English) Zbl 07761546 J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023). MSC: 65-XX 35R11 35Q55 65M12 65M15 PDFBibTeX XMLCite \textit{J. Jia} and \textit{X. Jiang}, J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023; Zbl 07761546) 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
Bentrcia, Toufik; Mennouni, Abdelaziz On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation. (English) Zbl 1522.35542 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107384, 27 p. (2023). MSC: 35R11 35A35 35L20 35L71 PDFBibTeX XMLCite \textit{T. Bentrcia} and \textit{A. Mennouni}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107384, 27 p. (2023; Zbl 1522.35542) Full Text: DOI
Naumkin, Ivan; Weder, Ricardo The matrix nonlinear Schrödinger equation with a potential. (English. French summary) Zbl 1512.35546 J. Math. Pures Appl. (9) 172, 1-104 (2023). MSC: 35Q55 35Q41 35P25 35B40 PDFBibTeX XMLCite \textit{I. Naumkin} and \textit{R. Weder}, J. Math. Pures Appl. (9) 172, 1--104 (2023; Zbl 1512.35546) 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
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
LeFloch, Philippe G.; Ma, Yue Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime. (English) Zbl 1515.83035 Port. Math. 79, No. 3-4, 343-393 (2022). MSC: 83C05 35L15 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{Y. Ma}, Port. Math. 79, No. 3--4, 343--393 (2022; Zbl 1515.83035) 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
Chen, Gong; Pusateri, Fabio The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential. (English) Zbl 1498.35189 Anal. PDE 15, No. 4, 937-982 (2022). Reviewer: Gaetano Siciliano (São Paulo) MSC: 35J10 35P25 35Q55 PDFBibTeX XMLCite \textit{G. Chen} and \textit{F. Pusateri}, Anal. PDE 15, No. 4, 937--982 (2022; Zbl 1498.35189) 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
Masaki, Satoshi; Segata, Jun-Ichi; Uriya, Kota On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension. (English) Zbl 1492.35045 Trans. Am. Math. Soc., Ser. B 9, 517-563 (2022). MSC: 35B40 35A22 35L52 35L71 PDFBibTeX XMLCite \textit{S. Masaki} et al., Trans. Am. Math. Soc., Ser. B 9, 517--563 (2022; Zbl 1492.35045) 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
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