Null controllability of a parabolic coupled system with control under constraints

We prove the null controllability of a parabolic system. Thesingle control is common to both PDEs, distributed and subject to constraints.The studied model can be applied in dynamics of biologicalsystems or in physics. First we study the problem associated to a similarlinearized system. Then appropr...

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Bibliographic Details
Published inApplied Sciences (Bucuresti) Vol. 21
Main Author Louis-Rose, Carole
Format Journal Article
LanguageEnglish
Published Balcan Society of Geometers 2019
Subjects
Analysis of PDEs
Mathematics
Carleman inequality
Non-linear system
Parabolic system
Null controllability
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Summary:We prove the null controllability of a parabolic system. Thesingle control is common to both PDEs, distributed and subject to constraints.The studied model can be applied in dynamics of biologicalsystems or in physics. First we study the problem associated to a similarlinearized system. Then appropriate Carleman inequalities and a fixed-pointargument are used to prove the null controllability resuts.
ISSN:1454-5101
1454-5101