Global Existence and Blowing Up of Solutions for Some Non-linear Wave Equations

被引：1

作者：

Xiao, Wei ^{[1
]}

机构：

[1] ChangAn Univ, Sch Sci, Xian 710064, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 01期

关键词：

Global solutions; Blow up; Nehari manifold; Mountain pass level; POSITIVE INITIAL ENERGY; HYPERBOLIC-EQUATIONS; EVOLUTION-EQUATIONS; SOURCE TERMS; NONEXISTENCE THEOREMS; DISSIPATION; SYSTEM;

D O I：

10.1007/s40840-016-0339-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, an initial boundary value problem for a system of semi-linear hyperbolic equations with damped term in a bounded domain is considered. We prove the global existence, uniquenes, blow up of solutions and give some estimates for the lifespan of solutions.

引用

页码：117 / 133

页数：17

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