The initial boundary value problem for quasi-linear wave equation with viscous damping

被引：2

作者：

Chen, Guowang ^{[1
]}

Yue, Hongyun ^{[1
]}

Wang, Shubin ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 02期

基金：

中国国家自然科学基金;

关键词：

quasi-linear wave equation with viscous damping; initial boundary value problem; local solution; blow-up of solution;

D O I：

10.1016/j.jmaa.2006.08.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and uniqueness of the local generalized solution and the local classical solution for the initial boundary value problem of the quasi-linear wave equation with viscous damping are proved. The nonexistence of the global solution for this problem is discussed by an ordinary differential inequality. Finally, an example is given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：823 / 839

页数：17

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