Polynomial decay rate of C0 semigroup in Hilbert spaces

被引：0

作者：

Li, Yan-Fang ^{[1
]}

Xu, Gen-Qi ^{[2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 07期

基金：

中国国家自然科学基金;

关键词：

C-0; semigroup; polynomial stability; Riesz basis; spectrum; ENERGY DECAY; BEAM SYSTEM; STABILITY; STABILIZATION; EQUATIONS;

D O I：

10.1080/00036811.2020.1817399

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we characterize the polynomial stability ofsemigroupwith generatorAon Hilbert space. LetAhave compact resolvent and there be a sequence of the eigenvectors ofAthat forms a Riesz basis for. By the asymptotic relation of the real part and imaginary part of eigenvalues ofA, we give the optimal decay rate of polynomial stability of. Moreover, we give the zeros distribution of certain equations. As an application, we illustrate our general results by an acoustical system.

引用

页码：2636 / 2651

页数：16

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