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.

引用

页码：173 / 182

页数：10

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