Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions

DOI10.1016/j.jde.2007.10.002zbMath1136.35079OpenAlexW1992567612MaRDI QIDQ2466492

Pavel I. Naumkin, Nakao Hayashi

Publication date: 15 January 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.10.002

zbMATH Keywords

Klein-Gordon equationscattering operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25)

Related Items (10)

Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions ⋮ On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension ⋮ Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity ⋮ Wave operator for the system of the Dirac-Klein-Gordon equations ⋮ Scattering for the Klein-Gordon equations with time-dependent potentials ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data ⋮ Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations ⋮ Remark on the scattering operator for the cubic nonlinear Dirac equation in three space dimensions

Cites Work

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• Rapidly decaying solutions of the nonlinear Schrödinger equation
• Decay for nonlinear Klein-Gordon equations
• Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation

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