Nonrelativistic limit of scattering theory for nonlinear Klein-Gordon equations

DOI10.1006/JDEQ.2001.4067zbMath1027.35128OpenAlexW2009781916MaRDI QIDQ1599267

Kenji Nakanishi

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4067

zbMATH Keywords

Klein-Gordon equationSchrödinger equationscattering theorywave operators

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions ⋮ Strichartz estimates for higher-order Schrödinger equations and their applications ⋮ Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation ⋮ Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations ⋮ Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit ⋮ Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions ⋮ Hydrodynamic limits of the nonlinear Klein-Gordon equation ⋮ Singular limits of the Klein-Gordon equation ⋮ Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations

Cites Work

• On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
• Energy scattering for Hartree equations
• Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
• Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
• Existenz der Wellenoperatoren für eine allgemeine Klasse von Operatoren
• Asymptotically-Free Solutions for the Short-Range Nonlinear Schrödinger Equation
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations
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