A class of fourth order wave equations with dissipative and nonlinear strain terms

被引：54
作者：
Liu Yacheng [1 ]
Xu Runzhang [1 ,2 ]
机构：
[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fourth order wave equations; dissipative; potential wells; global existence; nonexistence;
D O I：
10.1016/j.jde.2007.10.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the initial boundary value problem for a class of fourth order wave equations with dissipative and nonlinear strain terms. By introducing a family of potential wells we not only obtain the invariant sets and vacuum isolating of solutions, but also give some threshold results of global existence and nonexistence of solutions. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：200 / 228
页数：29
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