Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(1): 173-182

Printed January 31, 2015

https://doi.org/10.4134/BKMS.2015.52.1.173

Copyright © The Korean Mathematical Society.

Blow-up rate for the semi-linear wave equation in bounded domain

Chuangchuang Liang and Pengchao Wang

Capital Normal University, Northeast Normal University

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

Keywords: semi-linear wave equation, blow-up rate, bounded domain

MSC numbers: 35L05, 35B44

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