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
收藏
页码：618 / 626
页数：9
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