ARTICLE
Rational stabilization of the multidimensional wave equation with dynamical control and time-varying delay
- MALAYA JOURNAL OF MATEMATIK , 13 (2) : 123-156
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