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http://dx.doi.org/10.4134/BKMS.2015.52.1.173

BLOW-UP RATE FOR THE SEMI-LINEAR WAVE EQUATION IN BOUNDED DOMAIN  

Liang, Chuangchuang (School of Mathematical Sciences Capital Normal University)
Wang, Pengchao (School of Mathematics and Statistics Northeast Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 173-182 More about this Journal
Abstract
In this paper, the blow-up rate of $L^2$-norm for the semi-linear wave equation with a power nonlinearity is obtained in the bounded domain for any p > 1. We also get the blow-up rate of the derivative under the condition 1 < p < $1+\frac{4}{N-1}$ for $N{\geq}2$ or 1 < p < 5 for N = 1.
Keywords
semi-linear wave equation; blow-up rate; bounded domain;
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