Stability for Weakly Coupled Wave Equations with a General Internal Control of Diffusive Type

被引：8

作者：

Beniani, Abderrahmane ^{[1
]}

Bahri, Noureddine ^{[2
]}

Alharbi, Rabab ^{[3
]}

Bouhali, Keltoum ^{[3
,4
]}

Zennir, Khaled ^{[3
,5
]}

机构：

[1] Univ Ain Temouchent, Dept Math, EDPs Anal & Control Lab, BP 284, Belhadj Bouchaib 46000, Algeria

[2] Hassiba Benbouali Univ, Lab Math & Applicat, Chlef 02000, Algeria

[3] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass 51452, Saudi Arabia

[4] 20 Aout 1955 Univ, Fac Sci, Dept Math, Skikda 21000, Algeria

[5] Univ 8 Mai 1945 Guelma, Lab Math Appl & Modelisat, Guelma 24000, Algeria

来源：

AXIOMS | 2023年 / 12卷 / 01期

关键词：

semigroup theory; wave coupled system; general decay; ENERGY DECAY;

D O I：

10.3390/axioms12010048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with well-posedness and asymptotic stability for weakly coupled wave equations with a more general internal control of diffusive type. Owing to the semigroup theory of linear operator, the well-posedness of system is proved. Furthermore, we show a general decay rate result. The method is based on the frequency domain approach combined with multiplier technique.

引用

页数：17

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