WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

被引：19

作者：

Bchatnia, Ahmed ^{[1
]}

Guesmia, Aissa ^{[2
,3
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia

[2] King Fahd Univ Petr & Minerals, Coll Sci, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Lorraine Metz Univ, UMR 7502, Elie Cartan Inst Lorraine, F-57045 Metz 01, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2014年 / 4卷 / 04期

关键词：

Well-posedness; general decay; asymptotic behavior; infinite memory; lame system; semigroup theory; energy method; ENERGY DECAY; STABILIZATION; ELASTICITY; CONTROLLABILITY; EQUATIONS;

D O I：

10.3934/mcrf.2014.4.451

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the Lame system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions, that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.

引用

页码：451 / 463

页数：13

共 23 条

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