About the wave equation outside two strictly convex obstacles
Analysis of PDEs
2018-01-11 v2
Abstract
We prove global Strichartz estimates without loss for the wave equation outside two strictly convex obstacles, following the roadmap introduced in [Lafontaine, 2017] for the Schr\"odinger equation. Moreover, we show a first step toward the large data scattering for the critical non linear equation associated to this geometrical setting, and prove the scattering for a class of non trapping obstacles close to the two convex framework.
Cite
@article{arxiv.1711.09734,
title = {About the wave equation outside two strictly convex obstacles},
author = {David Lafontaine},
journal= {arXiv preprint arXiv:1711.09734},
year = {2018}
}