Some Homogenization Results for Non-Coercive Hamilton-Jacobi Equations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 2007

Some Homogenization Results for Non-Coercive Hamilton-Jacobi Equations

Résumé

Recently, C. Imbert \& R. Monneau study the homogenization of coercive Hamilton-Jacobi Equations with a $u/\e$-dependence : this unusual dependence leads to a non-standard cell problem and, in order to solve it, they introduce new ideas to obtain the estimates on the oscillations of the solutions. In this article, we use their ideas to provide new homogenization results for ``standard'' Hamilton-Jacobi Equations (i.e. without a $u/\e$-dependence) but in the case of {\it non-coercive Hamiltonians}. As a by-product, we obtain a simpler and more natural proof of the results of C. Imbert \& R. Monneau, but under slightly more restrictive assumptions on the Hamiltonians.
Fichier principal
Vignette du fichier
HomDegV2.pdf (232.55 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00071284 , version 1 (23-05-2006)
hal-00071284 , version 2 (22-12-2006)

Identifiants

Citer

Guy Barles. Some Homogenization Results for Non-Coercive Hamilton-Jacobi Equations. Calculus of Variations and Partial Differential Equations, 2007, 30 (4), pp.449--466. ⟨hal-00071284v2⟩
80 Consultations
138 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More