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

 

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Opened Access Recent results on the controllability of linear coupled parabolic problems: A survey
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Author: Ammar-Khodja, Farid
Benabdallah, Assia
González Burgos, Manuel
Teresa de Oteyza, María de la Luz de
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2011-09
Published in: Mathematical Control and Related Fields, 1 (3), 267-306.
Document type: Article
Abstract: 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.
Cite: Ammar-Khodja, F., Benabdallah, A., González Burgos, M. y Teresa de Oteyza, M.d.l.L.d. (2011). Recent results on the controllability of linear coupled parabolic problems: A survey. Mathematical Control and Related Fields, 1 (3), 267-306.
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Format: PDF

URI: http://hdl.handle.net/11441/46191

DOI: 10.3934/mcrf.2011.1.267

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