Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data

zbMath1409.35146arXiv1507.02035MaRDI QIDQ4557521

Annalaura Stingo

Publication date: 23 November 2018

Full work available at URL: https://arxiv.org/abs/1507.02035

zbMATH Keywords

cubic nonlinearitysmall initial datasemiclassical analysisKlainerman vector fieldsone term asymptotic expansion

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items

On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension ⋮ Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime ⋮ Global Existence of Small Amplitude Solutions for a Model Quadratic Quasilinear Coupled Wave-Klein-Gordon System in Two Space Dimension, with Mildly Decaying Cauchy Data ⋮ Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities ⋮ Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension ⋮ Global solutions of nonlinear wave-Klein-Gordon system in one space dimension ⋮ Long time existence results for Hamiltonian nonlinear Klein-Gordon equations on some compact manifolds ⋮ Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities

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