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

页数：12

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