Wave and Klein-Gordon equations on certain locally symmetric spaces
arXiv:1809.05468 · doi:10.1007/s12220-019-00246-8
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.