EFFECT OF KELVIN-VOIGT DAMPING ON SPECTRUM ANALYSIS OF A WAVE EQUATION

被引：0

作者：

Lu, Liqing ^{[1
]}

Zhao, Liyan ^{[1
]}

Hu, Jing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

基金：

美国国家科学基金会;

关键词：

Wave equation; Riesz basis; spectrum-determined growth condition; Kelvin-Voigt damping; EXPONENTIAL DECAY; ENERGY; STABILITY; STABILIZATION; BEAM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns a one-dimensional wave equation with a small amount of Kelvin-Voigt damping. We give a detailed spectrum analysis of the system operator, from which we show that the generalized eigenfunction forms a Riesz basis for the state Hilbert space. That is, the precise and explicit expression of the eigenvalues is deduced and the spectrum-determined growth condition is established. Hence the exponential stability of the system is obtained.

引用

页数：16

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