Global existence for semilinear wave equations exterior to nontrapping obstacles
Analysis of PDEs
2007-05-23 v2
Abstract
In this paper, we show global existence, in spatial dimensions greater than or equal to four, for semilinear wave equations with quadratic nonlinearities exterior to a nontrapping obstacle. This extends the previous work of Shibata-Tsutsumi and Hayashi. Shibata-Tsutsumi showed the result for spatial dimensions greater than or equal to 6, and Hayashi proved the result exterior to a ball.
Keywords
Cite
@article{arxiv.math/0210246,
title = {Global existence for semilinear wave equations exterior to nontrapping obstacles},
author = {Jason Metcalfe},
journal= {arXiv preprint arXiv:math/0210246},
year = {2007}
}