On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term

被引：2

作者：

Kafini, Mohammad ^{[1
]}

Tatar, Nasser-eddine ^{[1
]}

机构：

[1] KFUPM, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 03期

关键词：

polynomial decay; Cauchy problem; singular kernel; viscoelastic problem; 35B05; 35L05; 35L15; 35L70; WAVE-EQUATION; BLOW-UP; R-N; DECAY; EXISTENCE; ENERGY;

D O I：

10.1080/00036811.2015.1026335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A viscoelastic Cauchy problem subjected to a nonlinear source term is investigated. The memory term in the system involves a kernel which is not regular as is usually the case. It is proved that solutions go to zero in a polynomial manner as time goes to infinity.

引用

页码：646 / 660

页数：15

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