The wave equation on hyperbolic spaces
Analysis of PDEs
2011-11-29 v2 Classical Analysis and ODEs
Abstract
In this paper, we study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on real hyperbolic spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain local well-posedness results for the nonlinear wave equation.
Cite
@article{arxiv.1010.2372,
title = {The wave equation on hyperbolic spaces},
author = {Jean-Philippe Anker and Vittoria Pierfelice and Maria Vallarino},
journal= {arXiv preprint arXiv:1010.2372},
year = {2011}
}