Article Dans Une Revue Mathematical Control and Related Fields Année : 2011

Recent results on the controllability of linear coupled parabolic problems: A survey

Résumé

This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of differential equations) to parabolic systems. This question is itself tied with the proof of global Carleman estimates for systems and leads to a wide field of open problems.

Dates et versions

hal-01305493 , version 1 (21-04-2016)

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Farid Ammar-Khodja, Assia Benabdallah, Manuel González-Burgos, Luz de Teresa. Recent results on the controllability of linear coupled parabolic problems: A survey. Mathematical Control and Related Fields, 2011, 1 (3), pp.267-306. ⟨10.3934/mcrf.2011.1.267⟩. ⟨hal-01305493⟩
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