Controllability of nonlinear degenerate parabolic cascade systems,
Auteur(s): Mamadou BIRBA, Oumar TRAORE
Auteur(s) tagués: Mamadou BIRBA ;
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

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