English

Wave equations with moving potentials

Analysis of PDEs 2019-09-13 v2

Abstract

In this paper, we study the endpoint reversed Strichartz estimates along general time-like trajectories for wave equations in R3\mathbb{R}^{3}. We also discuss some applications of the reversed Strichartz estimates and the structure of wave operators to the wave equation with one potential. These techniques are useful to analyze the stability problem of traveling solitons.

Keywords

Cite

@article{arxiv.1610.09586,
  title  = {Wave equations with moving potentials},
  author = {Gong Chen},
  journal= {arXiv preprint arXiv:1610.09586},
  year   = {2019}
}

Comments

52 pages. arXiv admin note: text overlap with arXiv:1610.05226

R2 v1 2026-06-22T16:36:28.364Z