Stability of abstract–wave equation with delay and a Kelvin–Voigt damping

Kaïs Ammari , Serge Nicaise (1) , Cristina Pignotti

1 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

In this paper we consider a stabilization problem for an abstract wave equation with delay and a Kelvin-Voigt damping. We prove an exponential stability result for appropriate damping coefficients. The proof of the main result is based on a frequency-domain approach.

Mots clés: Kelvin-Voigt damping; abstract wave equation with delay; internal stabilization

Domaines: Mathématiques [math]

Kaïs Ammari, Serge Nicaise, Cristina Pignotti. Stability of abstract–wave equation with delay and a Kelvin–Voigt damping. Asymptotic Analysis, 2015, 95 (1-2), pp.21-38. ⟨10.3233/ASY-151317⟩. ⟨hal-03138786⟩