Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent

Bopeng Rao (1) , Ali Wehbe (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Using a multiplier method, we establish the polynomial energy decay rate for the smooth solutions of Kirchhoff plates equations. Consequently, we obtain the strong stability in the absence of compactness of resolvent of the infinitesimal operator.

Mots clés: "Kirchhoff plate; dynamical controls; polynomial energy decay rate; strong stability; non-compactness"; Kirchhoff plate; non-compactness

Domaines: Optimisation et contrôle [math.OC]

Bopeng Rao, Ali Wehbe. Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent. 2004. ⟨hal-00129704⟩