Dispersion for the wave equation outside a ball and counterexamples
Analysis of PDEs
2017-06-01 v1
Abstract
The purpose of this note is to prove dispersive estimates for the wave equation outside a ball in R^d. If d = 3, we show that the linear flow satisfies the dispersive estimates as in R^3. In higher dimensions d 4 we show that losses in dispersion do appear and this happens at the Poisson spot.
Cite
@article{arxiv.1705.10994,
title = {Dispersion for the wave equation outside a ball and counterexamples},
author = {Oana Ivanovici and Gilles Lebeau},
journal= {arXiv preprint arXiv:1705.10994},
year = {2017}
}