Global nonexistence of solutions with positive initial energy for a class of wave equations

被引：12

作者：

Liu, Wenjun ^{[1
,2
]}

Wang, Mingxin ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2009年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

global nonexistence; strong damping; nonlinear source; wave equation; positive initial energy; LINEAR EVOLUTION-EQUATIONS; ASYMPTOTIC-BEHAVIOR; EXISTENCE; THEOREMS;

D O I：

10.1002/mma.1054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further improves the results by Yang (Math. Meth. Appl. Sci. 2002 25:825-833) and Messaoudi and Houari (Math. Meth. Appl. Sci. 2004; 27: 1687-1696). Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：594 / 605

页数：12

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