Exact Boundary Controllability and Energy Decay for a System of Wave Equations Linearly Coupled

被引：6
|
作者：
Nunes, Ruikson S. O. [1 ]
机构：
[1] Univ Fed Mato Grosso, Ave Fernando Correa da Costa 2367, BR-78060900 Cuiaba, MT, Brazil
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 01期
关键词：
Coupled wave equations; Linear Klein-Gordon equation; Local energy decay; Exact boundary control; Primary; 35L52; 35L53; 35B40; 35B45; Secondary; 93B05; 49J20;
D O I：
10.1007/s00009-020-01672-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study an exact boundary controllability problem and local energy decay for a system of m linearly coupled wave equations . We obtain control time near of the optimal time with control of Neuman type acting on all boundary of the considered domain. We also show that the local energy decays at a rate t-n, where n is the spatial dimension of the domain where the initial data are supported.
引用
收藏
页数：12
相关论文
共 50 条
12345