Local smooth solutions of the nonlinear Klein-Gordon equation

DOI10.3934/dcdss.2020448zbMath1479.35570arXiv1907.13048OpenAlexW2966561676MaRDI QIDQ2057687

Thierry Cazenave, I. P. Naumkin

Publication date: 7 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13048

zbMATH Keywords

local existencesmooth solutionsnonlinear wave equationnonlinear Klein-Gordon equationnonlinear Dirac equationnon-vanishing solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity

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