Affiliations: Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, Monastir, Tunisie. E-mail: kais.ammari@fsm.rnu.tn | Université de Valenciennes et du Hainaut Cambrésis, LAMAV, France. E-mail: snicaise@univ-valenciennes.fr | Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, L'Aquila, Italy. E-mail: pignotti@univaq.it
Note: [] Corresponding author: Kaïs Ammari, Département de Mathématiques, Faculté des Sciences de Monastir, Université de Monastir, 5019 Monastir, Tunisie. E-mail: kais.ammari@fsm.rnu.tn
Abstract: In this paper we consider some stabilization problems for the wave equation with switching time-delay. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula, observability inequality and some energy estimates. More general problems, like the Petrovsky system, are also discussed.
