Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
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Publication:2043045
DOI10.1007/s00205-021-01675-yzbMath1475.35305arXiv2006.00938OpenAlexW3028694904MaRDI QIDQ2043045
Jonas Lührmann, Hans Lindblad, Avy Soffer
Publication date: 22 July 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00938
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Soliton solutions (35C08)
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Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar-field equations ⋮ Quadratic Klein-Gordon equations with a potential in one dimension ⋮ Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities ⋮ Asymptotics and scattering for wave Klein-Gordon systems ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ On the \(1d\) cubic NLS with a non-generic potential ⋮ On 1d quadratic Klein-Gordon equations with a potential and symmetries ⋮ Global solutions for 1D cubic defocusing dispersive equations: Part I ⋮ Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry
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