Scattering for the Klein-Gordon equations with time-dependent potentials
type: Item
instance of: scholarly article
title: Scattering for the Klein-Gordon equations with time-dependent potentials
zbMATH Open document ID: 1204.35110
author: Sojiro Murai
published in: Tokyo Journal of Mathematics
publication date: 2010-07-09T00:00:00Z
review text: The paper concentrates on the Klein-Gordon equation with a real valued potential \(V(x,t)\). In case \(V(x,t)\) satisfies a special boundedness condition, the existence of scattering operators is proved. Strichartz estimates are used and the author is inspired by the results for potentially free Klein-Gordon equations obtained by \textit{N. Hayashi} and \textit{P. Naumkin} in [J. Differ. Equations 244, No. 1, 188--199 (2008; Zbl 1136.35079)].
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 34L25
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 5734872
zbMATH Keywords: scattering operators
zbMATH Keywords: real valued potential
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1264170240
OpenAlex ID: W2061969075
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DOI: 10.3836/TJM/1264170240
description: scientific article; zbMATH DE number 5734872