Blow-up solutions for a nonlinear wave equation with boundary damping and interior source

被引：12

作者：

Feng, Hongyinping ^{[1
]}

Li, Shengjia ^{[2
]}

Zhi, Xia ^{[3
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Res Inst Math & Appl Math, Taiyuan 030006, Shanxi, Peoples R China

[3] Shanxi Police Acad, Taiyuan 030021, Shanxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Blow up; Boundary damping; Interior source; Nonlinear wave equation; GLOBAL EXISTENCE; SOURCE TERMS; NONEXISTENCE; DECAY;

D O I：

10.1016/j.na.2011.10.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the wave equation with nonlinear damping and source terms. We are interested in the interaction between the boundary damping -vertical bar y(t)(L, t)vertical bar(m-1)y(t) (L, t) and the interior source vertical bar y(t)vertical bar(p-1)y(t). We find a sufficient condition for obtaining the blow-up solution of the problem. Furthermore, we also obtain that the solution may blow up even if m >= p. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2273 / 2280

页数：8

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