Minimal time of controllability of two parabolic equations with disjoint control and coupling domains.
Fiche publication
Date publication
mai 2014
Auteurs
Membres identifiés du Cancéropôle Est :
Dr KHODJA Farid Ammar
Tous les auteurs :
Khodja FA, Benabdallah A, Gonzalez-Burgos M, de Teresa L
Lien Pubmed
Résumé
We consider two parabolic equations coupled by a matrix A(x) = q(x)A(0), where A(0) is a Jordan block of order 1, and controlled by a single localized function, or by a single boundary control. The support of the coupling coefficient, q, and the control domain may be disjoint. We exhibit an explicit minimal time of null-controllability, T-0(q) is an element of [0, +infinity]. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Référence
C R Math. 2014 May;352(5):391-6.