English

Strichartz estimates for Klein-Gordon equations with moving potentials

Analysis of PDEs 2023-01-26 v2

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.

Keywords

Cite

@article{arxiv.2210.03462,
  title  = {Strichartz estimates for Klein-Gordon equations with moving potentials},
  author = {Gong Chen and Jacek Jendrej},
  journal= {arXiv preprint arXiv:2210.03462},
  year   = {2023}
}

Comments

53 pages. Corrected some typos

R2 v1 2026-06-28T02:59:39.629Z