English

Blow-up rate for a semi-linear accretive wave equation

Mathematical Physics 2010-06-18 v5 math.MP

Abstract

In this paper we consider the semi-linear wave equation: uttΔu=ututp1u_{tt}-\Delta u=u_t|u_t|^{p-1} in RN\mathbb{R}^N. We provide an associated energy. With this energy we give the blow-up rate for blowing up solutions in the case of bounded below energy.

Keywords

Cite

@article{arxiv.0710.1361,
  title  = {Blow-up rate for a semi-linear accretive wave equation},
  author = {H. Faour and M. Jazar and Ch. Messikh},
  journal= {arXiv preprint arXiv:0710.1361},
  year   = {2010}
}