English

Wave and Klein-Gordon equations on certain locally symmetric spaces

Analysis of PDEs 2019-08-27 v2

Abstract

This paper is devoted to study the dispersive properties of the linear Klein-Gordon and wave equations on a class of locally symmetric spaces. As a consequence, we obtain the Strichartz estimate and prove global well-posedness results for the corresponding semilinear equation with low regularity data as on real hyperbolic spaces.

Keywords

Cite

@article{arxiv.1809.05468,
  title  = {Wave and Klein-Gordon equations on certain locally symmetric spaces},
  author = {Hong-Wei Zhang},
  journal= {arXiv preprint arXiv:1809.05468},
  year   = {2019}
}