On Global existence for nonlinear wave equations outside of convex obstacles
Analysis of PDEs
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We prove global existence for semilinear hyperbolic equations that satisfy the null condition of Christodoulou and Klainerman in the exterior of convex domains. We use a combination of the conformal method of Christodoulou and the direct method of Klainerman.
Cite
@article{arxiv.math/9912201,
title = {On Global existence for nonlinear wave equations outside of convex obstacles},
author = {Marcus Keel and Hart Smith and Christopher D. Sogge},
journal= {arXiv preprint arXiv:math/9912201},
year = {2007}
}
Comments
To appear in American Journal of Mathematics