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Boundary null-controllability of coupled parabolic systems with Robin conditions
Evolution Equations and Control Theory ( IF 1.5 ) Pub Date : 2020-05-20 , DOI: 10.3934/eect.2020052
Kuntal Bhandari , , Franck Boyer ,

The main goal of this paper is to investigate the boundary controllability of some coupled parabolic systems in the cascade form in the case where the boundary conditions are of Robin type. In particular, we prove that the associated controls satisfy suitable uniform bounds with respect to the Robin parameters, that let us show that they converge towards a Dirichlet control when the Robin parameters go to infinity. This is a justification of the popular penalisation method for dealing with Dirichlet boundary data in the framework of the controllability of coupled parabolic systems.

中文翻译:

具有Robin条件的耦合抛物系统的边界零可控性

本文的主要目的是研究边界条件为Robin类型的情况下级联形式的耦合抛物线型系统的边界可控性。特别是,我们证明了关联的控件满足关于Robin参数的合适统一边界,这让我们证明了当Robin参数达到无穷大时,它们朝Dirichlet控件收敛。这是在耦合抛物线系统的可控制性框架内处理Dirichlet边界数据的流行惩罚方法的证明。
更新日期:2020-05-20
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