Global existence for solutions of the focusing wave equation with the compactness property
Analysis of PDEs
2016-12-21 v1
Abstract
We prove that every solution of the focusing energy-critical wave equation with the compactness property is global. We also give similar results for supercritical wave and Schr\"odinger equations.
Keywords
Cite
@article{arxiv.1504.04692,
title = {Global existence for solutions of the focusing wave equation with the compactness property},
author = {Thomas Duyckaerts and Carlos Kenig and Frank Merle},
journal= {arXiv preprint arXiv:1504.04692},
year = {2016}
}