Almost global existence for some semilinear wave equations
Analysis of PDEs
2007-05-23 v1
Abstract
We prove almost global existence for semilinear wave equations outside of nontrapping obstacles. We use the vector field method, but only use the generators of translations and Euclidean rotations. Our method exploits 1/r decay of wave equations, as opposed to the much harder to prove 1/t decay.
Cite
@article{arxiv.math/0108016,
title = {Almost global existence for some semilinear wave equations},
author = {Markus Keel and Hart Smith and Christopher D. Sogge},
journal= {arXiv preprint arXiv:math/0108016},
year = {2007}
}
Comments
To appear in Journal d'Analyse. A paper on the quasilinear case will follow