EXACT CONTROLLABILITY FOR THE LAME SYSTEM

被引：1

作者：

Dehman, Belhassen ^{[1
]}

Raymond, Jean-Pierre ^{[2
,3
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, El Manar 2092, Tunisia

[2] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse, France

[3] CNRS, F-31062 Toulouse, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2015年 / 5卷 / 04期

关键词：

Lame system; elasticity; controllability; geometric control condition; microlocal defect measures; propagation of wave front; WAVE-EQUATION; ENERGY DECAY; ELASTODYNAMIC PROBLEM; SUFFICIENT CONDITION; EXTERIOR DOMAIN; STABILIZATION; SINGULARITIES; SHARP;

D O I：

10.3934/mcrf.2015.5.743

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove an exact boundary controllability result for the isotropic elastic wave system in a bounded domain Omega of R-3. This result is obtained under a microlocal condition linking the bicharacteristic paths of the system and the region of the boundary on which the control acts. This condition is to be compared with the so-called Geometric Control Condition by Bardos, Lebeau and Rauch [3]. The proof relies on microlocal tools, namely the propagation of the C-infinity wave front and microlocal defect measures.

引用

页码：743 / 760

页数：18