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

被引：0
|
作者：
Liang, Chuangchuang [1 ]
Wang, Pengchao [2 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 01期
基金：
美国国家科学基金会;
关键词：
semi-linear wave equation; blow-up rate; bounded domain; SURFACES;
D O I：
10.4134/BKMS.2015.52.1.173
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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+ 4/N-1 for N >= 2 or 1 < p < 5 for N = 1.
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页码：173 / 182
页数：10
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