EXISTENCE OF A SOLUTION OF THE WAVE-EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

被引：516

作者：

GEORGIEV, V ^{[1
]}

TODOROVA, G ^{[1
]}

机构：

[1] BULGARIAN ACAD SCI,INST MATH,BU-1113 SOFIA,BULGARIA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1994年 / 109卷 / 02期

关键词：

D O I：

10.1006/jdeq.1994.1051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the nonlinear wave equation involving the nonlinear damping term u(t)\u(t)\m-1 and a source term of type u\u\p-1. For 1 < p less-than-or-equal-to m we prove a global existence theorem with large initial data. For 1 < m < p a blow-up result is established for sufficiently large initial data. (C) 1994 Academic Press, Inc.

引用

页码：295 / 308

页数：14

共 12 条

[1] REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NON-LINEAR EVOLUTION EQUATIONS [J].