Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation

被引：8

作者：

Kim, Jung Ae ^{[1
]}

Han, Ying Hao ^{[2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Liaoning Normal Univ, Dept Math, Dalian 116029, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 111卷 / 01期

关键词：

Blow up; Viscoelastic; Wave equation; BERNOULLI BEAM EQUATION; GLOBAL EXISTENCE; UNIFORM DECAY; MEMORY; STABILITY;

D O I：

10.1007/s10440-009-9524-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear viscoelastic wave equation with nonlinear source term. Under suitable conditions on g, it is proved that any weak solution with negative initial energy blows up in finite time if p > 2.

引用

页码：1 / 6

页数：6

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