WELL-POSEDNESS AND GENERAL ENERGY DECAY OF SOLUTION FOR TRANSMISSION PROBLEM WITH WEAKLY NONLINEAR DISSIPATIVE

被引：3

作者：

Bahri, Noureddine ^{[1
]}

Abdelli, Mama ^{[2
]}

Beniani, Abderrahmane ^{[3
]}

Zennir, Khaled ^{[4
,5
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Sidi Bel Abbes, Algeria

[2] Mustapha Stambouli Univ, Mascara, Algeria

[3] Ctr Univ Belhadj Bouchaib, Ait Tmouchent, Algeria

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

[5] Univ Guelma, Lab Math Appl & Modelisat, Guelma, Algeria

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2021年 / 33卷 / 02期

关键词：

equation; transmission problem; well-posedness; Faedo-Galerkin method; general decay; multiplier method; convexity; WAVE-EQUATION; RATES; THERMOELASTICITY; STABILITY; SYSTEM;

D O I：

10.1216/jie.2021.33.155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a transmission problem in a bounded domain with a nonlinear dissipation in the first equation. Under suitable assumptions on the weight of the damping, we show the existence and uniqueness of solution by the Faedo-Galerkin method. Also we prove general stability estimates using some properties of convex functions and Lyaponov functional.

引用

页码：155 / 170

页数：16

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