ARTICLE
Controllability of nonlinear degenerate parabolic cascade systems
- Electronic Journal of Differential Equations , Vol. 2016 (2016) (219) : 1-25
Lien de l'article :
https://ejde.math.txstate.edu/Volumes/2016/219/birba.pdf
Discipline :
Mathématiques
Auteur(s) :
Mamadou BIRBA, Oumar TRAORE
Auteur(s) tagués :
BIRBA Mamadou
Renseignée par : BIRBA Mamadou
Résumé
This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and the control function acts only directly on the first equation. We prove positive null controllability results when the control and a coupling set have nonempty intersection.
Mots-clés
Null controllability; nonlinear coupled systeml Carleman inequality; observability inequality; degenerate parabolic system; Kakutani fixed point