General decay results for a viscoelastic wave equation with a variable exponent nonlinearity

被引：10
|
作者：
Hassan, Jamilu Hashim [1 ]
Messaoudi, Salim A. [2 ]
机构：
[1] King Fand Univ Petr & Minerals, Dept Math & Stat, POB 5046, Dhahran 31261, Saudi Arabia
[2] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates
来源：
ASYMPTOTIC ANALYSIS | 2021年 / 125卷 / 3-4期
关键词：
Viscoelastic; general decay; relaxation function; variable exponent; EXISTENCE; BLOWUP;
D O I：
10.3233/ASY-201661
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a viscoelastic wave equation with a very general relaxation function and nonlinear frictional damping of variable-exponent type. We give explicit and general decay results for the energy of the system depending on the decay rate of the relaxation function and the nature of the variable-exponent nonlinearity. Our results extend the existing results in the literature to the case of nonlinear frictional damping of variable-exponent type.
引用
收藏
页码：365 / 388
页数：24
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