Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms

被引：13

作者：

Piskin, Erhan ^{[1
]}

Polat, Necat ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2013年 / 37卷 / 04期

关键词：

Decay rate; blow up; initial boundary value problem; nonlinear wave equations; NONEXISTENCE; SYSTEM; INSTABILITY;

D O I：

10.3906/mat-1110-48

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.

引用

页码：633 / 651

页数：19

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