Détails Publication
Rational stabilization of the multidimensional wave equation with dynamical control and time-varying delay,
Lien de l'article: http://doi.org/10.26637/mjm1302/003
Discipline: Mathématiques
Auteur(s): Désiré SABA, Innocent OUEDRAOGO, Gilbert BAYILI
Auteur(s) tagués:
BAYILI Gilbert ;
OUEDRAOGO Innocent
Renseignée par : OUEDRAOGO Innocent
Résumé
We consider the multidimensional wave equation with a time-varying delay term in the dynamical control. Under suitable assumptions, we show the well posedness of the problem. These results are obtained by using semi-group theory. Using direct computations, through the multiplier method, the rational energy decay rate of the system will be given according
to the regularity of the initia ldata.
Mots-clés
Dynamical control, wave equation, stability, time varying delay