STABILIZATION OF VISCOELASTIC WAVE EQUATION WITH VARIABLE COEFFICIENTS AND A DELAY TERM IN THE INTERNAL FEEDBACK

被引：2

作者：

Liang, Fei ^{[1
]}

机构：

[1] Xian Univ Sci & Technol, Dept Math, Xian 710054, Shaanxi, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 04期

关键词：

viscoelastic wave equation; delay in internal feedback; the Riemannian geometry; LINEAR VISCOELASTICITY; ASYMPTOTIC-BEHAVIOR; BOUNDARY; CONTROLLABILITY; STABILITY;

D O I：

10.4134/BKMS.b160631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the stabilization of the viscoelastic wave equation with variable coefficients in a bounded domain with smooth boundary, subject to linear dissipative internal feedback with a delay. Our stabilization result is mainly based on the use of the Riemannian geometry methods and Lyapunov functional techniques.

引用

页码：1457 / 1470

页数：14

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