Null controllability of degenerate parabolic cascade systems.
Fiche publication
Date publication
janvier 2011
Auteurs
Membres identifiés du Cancéropôle Est :
Dr KHODJA Farid Ammar
Tous les auteurs :
Ben Hassi EA, Khodja FA, Hajjaj A, Maniar L
Lien Pubmed
Résumé
In this paper, we study the null controllability of degenerate semilinear cascade parabolic systems with one control force. The key tool is the Carleman estimates developed recently for degenerate one dimension parabolic equations. We develop a Carleman estimate for these systems and then an observability inequality for the linear adjoint system. We conclude by linearization and fixed point arguments.
Référence
. 2011;68(3):345-67.