English

Finite time blow up for wave equations with strong damping in an exterior domain

Analysis of PDEs 2018-04-06 v1

Abstract

We consider the initial boundary value problem in exterior domain for semilinear wave equations with power-type nonlinearity |u| p. We will establish blow-up results when p is less than or equal to Strauss' exponent which is the same one for the whole space case R n .

Keywords

Cite

@article{arxiv.1804.01689,
  title  = {Finite time blow up for wave equations with strong damping in an exterior domain},
  author = {Ahmad Fino},
  journal= {arXiv preprint arXiv:1804.01689},
  year   = {2018}
}