Energy decay for the Klein-Gordon equation with highly oscillating damping - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Energy decay for the Klein-Gordon equation with highly oscillating damping

Résumé

We consider the free Klein-Gordon equation with periodic damping. We show on this simple model that if the usual geometric condition holds then the decay of the energy is uniform with respect to the oscillations of the damping, and in particular the size of the derivatives do not play any role. We also show that without geometric condition the polynomial decay of the energy is even slightly better for a highly oscillating damping. To prove these estimates we provide a parameter dependent version of well known results of semigroup theory.
Fichier principal
Vignette du fichier
oscillating-damping-17-09-07.pdf (200.12 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01583499 , version 1 (07-09-2017)

Identifiants

Citer

Julien Royer. Energy decay for the Klein-Gordon equation with highly oscillating damping. 2017. ⟨hal-01583499⟩
175 Consultations
145 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More