A non-homogeneous weakly damped Lame system with time-dependent delay

被引：1

作者：

da Silva, Paulo L. Dattori ^{[1
]}

Ma, To Fu ^{[2
]}

Maravi-Percca, Edwin M. ^{[1
]}

Seminario-Huertas, Paulo N. ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期

关键词：

constant domain operators; exponential stability; polynomial stability; system of elasticity; time-dependent delay; WAVE-EQUATION; BOUNDARY; STABILITY; DECAY;

D O I：

10.1002/mma.9017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with asymptotic stability of the Lame system, which arises in isotropic elasticity and has remarkable application in seismology. The main feature is the well-posedness and the energy decay when a time-dependent delay competes with a frictional damping. Following recent literature for systems with time-varying delay, our problem is written as a Cauchy problem with time-dependent operators and apply the so called Kato's CD-system method. To this regard, we present a simple argument for the needed stability to a family of time-dependent semigroup generators.

引用

页码：8793 / 8805

页数：13

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