The wave equation on Damek-Ricci spaces
Analysis of PDEs
2010-12-06 v1 Classical Analysis and ODEs
Abstract
We study the dispersive properties of the wave equation associated with the shifted Laplace-Beltrami operator on Damek-Ricci spaces, and deduce Strichartz estimates for a large family of admissible pairs. As an application, we obtain global well-posedness results for the nonlinear wave equation.
Cite
@article{arxiv.1012.0689,
title = {The wave equation on Damek-Ricci spaces},
author = {Jean-Philippe Anker and Vittoria Pierfelice and Maria Vallarino},
journal= {arXiv preprint arXiv:1012.0689},
year = {2010}
}