Almost global existence for some semilinear wave equations
偏微分方程分析
2007-05-23 v1
摘要
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.
引用
@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}
}
备注
To appear in Journal d'Analyse. A paper on the quasilinear case will follow