Exact controllability for evolutionary imperfect transmission problems

In this paper we study the asymptotic behaviour of an exact controllability problem for a second order linear evolution equation defined in a two-component composite with ε-periodic disconnected inclusions of size ε. On the interface we prescribe a jump of the solution that varies according to a rea...

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Bibliographic Details
Published in:Journal de mathématiques pures et appliquées 2019-02, Vol.122, p.235-271
Main Authors: Faella, Luisa, Monsurrò, Sara, Perugia, Carmen
Format: Article
Language:English
Subjects:
Evolution equations
Exact controllability
Homogenization
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Summary:In this paper we study the asymptotic behaviour of an exact controllability problem for a second order linear evolution equation defined in a two-component composite with ε-periodic disconnected inclusions of size ε. On the interface we prescribe a jump of the solution that varies according to a real parameter γ. In particular, we suppose that −1
ISSN:0021-7824
DOI:10.1016/j.matpur.2017.11.011