Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms

被引：78

作者：

Messaoudi, Salim A. ^{[2
]}

Said-Houari, Belkacem ^{[1
]}

机构：

[1] Univ Savoie, Math Lab, F-73376 Le Bourget Du Lac, France

[2] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Blow up; Global nonexistence; Positive initial energy; Viscoelastic wave equations; BLOW-UP; CAUCHY-PROBLEM; EVOLUTION-EQUATIONS; EXISTENCE; THEOREMS;

D O I：

10.1016/j.jmaa.2009.10.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with a system of viscoelastic wave equations with nonlinear damping and source terms acting in both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：277 / 287

页数：11

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