Stabilization of the wave equation with Ventcel boundary conditions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

Stabilization of the wave equation with Ventcel boundary conditions

Résumé

We consider a damped wave equation on a open subset of R n or a smooth Riemannian manifold with boundary, with Ventcel boundary conditions, with a linear damping, acting either in the interior or at the boundary. This equation is a model for a vibrating structure with a layer with higher rigidity of thickness δ > 0. By means of a proper Carleman estimate for second-order elliptic operators near the boundary, we derive a resolvent estimate for the wave semigroup generator along the imaginary axis, which in turn yields the logarithmic decay rate of the energy. This stabilization result is obtained uniformly in δ.
Fichier principal
Vignette du fichier
StabVentcel.pdf (419.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01312959 , version 1 (09-05-2016)

Identifiants

  • HAL Id : hal-01312959 , version 1

Citer

Rémi Buffe. Stabilization of the wave equation with Ventcel boundary conditions. 2016. ⟨hal-01312959⟩
457 Consultations
544 Téléchargements

Partager

Gmail Facebook X LinkedIn More