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

Bopeng Rao (1) , Ali Wehbe

1 IRMA - Institut de Recherche Mathématique Avancée

Using a direct approach, we establish the polynomial energy decay rate for smooth solutions of the equation of Kirchhoff plate. Consequently, we obtain the strong stability in the absence of compactness of the resolvent of the infinitesimal operator.

Mots clés: Kirchhoff plate; polynomial decay rate; strong stability; non-compactness

Domaines: Equations aux dérivées partielles [math.AP]

Bopeng Rao, Ali Wehbe. Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent. Journal of Evolution Equations, 2005, 5, num. 2, pp.137-152. ⟨10.1007/s00028-005-0171-5⟩. ⟨hal-00088023⟩