Optimal bounds and blow-up criteria for a semi-linear accretive wave equation

M. Jazar Ch. Messikh

Optimal bounds and blow-up criteria for a semi-linear accretive wave equation

Mathematical Physics 2012-04-13 v4 math.MP

Authors: M. Jazar Ch. Messikh

Abstract

In this paper we consider the semi-linear wave equation: $u_{tt}-\Delta u=u_t|u_t|^{p-1}$ in $\mathbb{R}^N$ where $1<p\leq 1+\frac2{N-1}$ and $p<5$ if N=1, $p\neq 3$ if N=2. We give an energetic criteria and optimal lower bound for blowing up solutions of this equation.

Keywords

semi-linear wave equation accretive operator blow-up criteria optimal bound energy estimate

Cite

@article{arxiv.math-ph/0701058,
  title  = {Optimal bounds and blow-up criteria for a semi-linear accretive wave equation},
  author = {M. Jazar Ch. Messikh},
  journal= {arXiv preprint arXiv:math-ph/0701058},
  year   = {2012}
}

Comments

We withdraw this paper since a minor calculation error was made at the very beginning of the paper

Related papers

View all related →