Bulletin of the Korean Mathematical Society (대한수학회보)

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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)
  • Received : 2013.12.07
  • Published : 2015.01.31
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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.

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References

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