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

Title & Authors
BLOW-UP RATE FOR THE SEMI-LINEAR WAVE EQUATION IN BOUNDED DOMAIN
Liang, Chuangchuang; Wang, Pengchao;

Abstract
In this paper, the blow-up rate of $\small{L^2}$-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 < $\small{1+\frac{4}{N-1}}$ for $\small{N{\geq}2}$ or 1 < p < 5 for N = 1.
Keywords
semi-linear wave equation;blow-up rate;bounded domain;
Language
English
Cited by
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