Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities

被引：30

作者：

Ghegal, Samah ^{[1
]}

Hamchi, Ilhem ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

机构：

[1] Univ Batna 2, Math Dept, Lab LEDPA, Batna, Algeria

[2] KFUPM, Dept Math & Stat, Dhahran, Saudi Arabia

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 08期

关键词：

Scott Hansen; Source term; dissipative term; variable exponents; global solution; stability; BLOW-UP; NONEXISTENCE;

D O I：

10.1080/00036811.2018.1530760

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear wave equation with damping and source terms of variable-exponent types. First, we use the stable-set method to prove a global result. Then, by applying an integral inequality due to Komornik, we obtain the stability result.

引用

页码：1333 / 1343

页数：11

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