Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls

被引：0
作者：
Tatsien Li
Bopeng Rao
机构：
[1] Fudan University,School of Mathematical Sciences
[2] Fudan University,Shanghai Key Laboratory for Contemporary Applied Mathematics
[3] Fudan University,Nonlinear Mathematical Modeling and Methods Laboratory
[4] Université de Strasbourg,Institut de Recherche Mathématique Avancée
来源：
Chinese Annals of Mathematics, Series B | 2017年 / 38卷
关键词：
Compactness-uniqueness perturbation; Boundary observability; Exact boundary controllability; Non-exact boundary controllability; Coupled system of wave equations; Neumann boundary condition; 93B05; 93B07; 93C20; 35L53;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper first shows the exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. In order to establish the corresponding observability inequality, the authors introduce a compact perturbation method which does not depend on the Riesz basis property, but depends only on the continuity of projection with respect to a weaker norm, which is obviously true in many cases of application. Next, in the case of fewer Neumann boundary controls, the non-exact boundary controllability for the initial data with the same level of energy is shown.
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页码：473 / 488
页数：15
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