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

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

2007-10-06

arxiv.org/abs/0710.1361v5

Physics

Mathematical Physics

Scientific paper

In this paper we consider the semi-linear wave equation: $u_{tt}-\Delta
u=u_t|u_t|^{p-1}$ in $\mathbb{R}^N$. 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.

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