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Preprints, Working Papers, ... Year : 2022

Strichartz estimates for Klein-Gordon equations with moving potentials

Abstract

We study linear Klein-Gordon equations with moving potentials motivated by the stability analysis of traveling waves and multi-solitons. In this paper, Strichartz estimates, local energy decay and the scattering theory for these models are established. The results and estimates obtained in this paper will be used to study the interaction of solitons and the stability of multisolitons of nonlinear Klein-Gordon equations.

Dates and versions

hal-03852324 , version 1 (14-11-2022)

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Gong Chen, Jacek Jendrej. Strichartz estimates for Klein-Gordon equations with moving potentials. 2022. ⟨hal-03852324⟩
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