SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS
From MaRDI portal
Publication:3648313
DOI10.1142/S0219199709003582zbMath1182.35198OpenAlexW2012230498MaRDI QIDQ3648313
Nakao Hayashi, Pavel I. Naumkin
Publication date: 25 November 2009
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199709003582
KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (14)
Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ Small Data Scattering for the One-Dimensional Nonlinear Dirac Equation with Power Nonlinearity ⋮ 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 ⋮ The initial value problem for the quadratic nonlinear Klein-Gordon equation ⋮ Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions ⋮ Scattering for the quadratic Klein-Gordon equations ⋮ Scattering operator for the one-dimensional Dirac equation with power nonlinearity ⋮ Wave operator for the system of the Dirac-Klein-Gordon equations ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations ⋮ Quadratic nonlinear Klein-Gordon equation in one dimension ⋮ Remark on the scattering operator for the cubic nonlinear Dirac equation in three space dimensions
Cites Work
- On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Low energy scttering for nonlinear Klein-Gordon equations
- Nonlinear scattering theory at low energy
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- On the asymptotic behavior of solutions of semi-linear wave equations
- On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension
- Scattering of solutions for critical and subcritical nonlinear Klein-Gordon equations in \(H^s\)
- A note on the large time asymptotics for a system of Klein-Gordon equations
- Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential
- Global existence of small solutions for quadratic quasilinear Klein-Gordon systems in two space dimensions
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
- Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms
- Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Decay estimates for the Klein ndesh Gordon equation
- Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation
- On existence and scattering for critical and subcritical nonlinear Klein-Gordon equations in Hs
- A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION
This page was built for publication: SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS
