Weighted Energy Decay for 1D Klein–Gordon Equation

DOI10.1080/03605300903419783zbMath1190.35134OpenAlexW2060079223MaRDI QIDQ3550976

Elena A. Kopylova, Alexander I. Komech

Publication date: 8 April 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903419783

zbMATH Keywords

resolventKlein-Gordon equationweighted spacesasymptotic completenessrelativistic equations

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Second-order hyperbolic equations (35L10) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Weighted energy decay for 3D Klein-Gordon equation ⋮ Dispersive estimates for solutions to the perturbed one-dimensional Klein-Gordon equation with and without a one-gap periodic potential ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves ^* ⋮ Dispersion estimates for one-dimensional discrete Dirac equations ⋮ On long-time decay for modified Klein-Gordon equation ⋮ On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Local energy decay for the damped Klein-Gordon equation in exterior domain ⋮ Dispersive estimates for the 2D wave equation ⋮ On asymptotic stability of kink for relativistic Ginzburg-Landau equations ⋮ Asymptotic stability of kink with internal modes under odd perturbation ⋮ On dispersive estimates for one-dimensional Klein–Gordon equations

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