A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

被引：6

作者：

Youkana, Abderrahmane ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

Guesmia, Aissa ^{[3
,4
]}

机构：

[1] Univ Batna 2, Dept Math, Batna 05078, Algeria

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

[3] Univ Lorraine, Elie Cartan Inst Lorraine, 3 Rue Augustin Fresnel,BP 45112, F-57073 Metz 03, France

[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 02期

关键词：

heat equation; viscoelastic; general decay; optimal; 35K05; LINEAR PARABOLIC-SYSTEM; EQUATIONS; EXISTENCE;

D O I：

10.1007/s10473-019-0223-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

引用

页码：618 / 626

页数：9

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