English

Global existence for a quasilinear wave equation outside of star-shaped domains

Analysis of PDEs 2007-05-23 v1

Abstract

We establish global existence in 3+1 dimensions of small-amplitude solutions of quasilinear Dirichlet-wave equations satisfying the null condition outside of star-shapped obstacles.

Keywords

Cite

@article{arxiv.math/0009237,
  title  = {Global existence for a quasilinear wave equation outside of star-shaped domains},
  author = {Markus Keel and Hart Smith and Christopher Sogge},
  journal= {arXiv preprint arXiv:math/0009237},
  year   = {2007}
}