Stability of Wave Equation with Variable Coefficients by Boundary Fractional Dissipation Law

被引：1

作者：

Ge, Hui ^{[1
,2
]}

Zhang, Zhifei ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 02期

基金：

美国国家科学基金会;

关键词：

Wave equation with variable coefficients; boundary fractional dissipation; geometric multiplier method; polynomial decay; UNIFORM STABILIZATION; DECAY-RATE; SYSTEM;

D O I：

10.1007/s00025-023-02096-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the boundary stability of the wave equation with variable coefficients and fractional damping acting on part of the boundary. The acceleration terms on the boundary are involved as well. It has been known that the presence of such dynamic structures on the boundary may change drastically the stability property of the underlying system. We obtain the polynomial decay for the solutions by applying a boundary fractional dissipation law. Our proof relies on the geometric multiplier skill and frequency domain method.

引用

页数：21

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