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December 2009 Scattering for the Klein-Gordon Equations with Time-Dependent Potentials
Sojiro MURAI
Tokyo J. Math. 32(2): 425-434 (December 2009). DOI: 10.3836/tjm/1264170240

Abstract

The present paper is to investigate the existence of the scattering operators for the Klein-Gordon equations with a potential which depends on both the space and time variables, and admits a singularity in $L^q(\mathbb{R}^n)$ sense. The main tool is the Strichartz estimates of solutions.

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Sojiro MURAI. "Scattering for the Klein-Gordon Equations with Time-Dependent Potentials." Tokyo J. Math. 32 (2) 425 - 434, December 2009. https://doi.org/10.3836/tjm/1264170240

Information

Published: December 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1204.35110
MathSciNet: MR2589953
Digital Object Identifier: 10.3836/tjm/1264170240

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

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Vol.32 • No. 2 • December 2009
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