• français
    • English
  • français 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Stochastic Homogenization of Quasilinear PDEs with a Spatial Degeneracy

Thumbnail
Date
2009
Link to item file
http://hal.archives-ouvertes.fr/hal-00141167/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
Stochastic homogenization; parabolic PDE; nonlinear PDE; degenerate PDE; first order approximation; ergodic operator
Journal issue
Asymptotic Analysis
Volume
61
Number
2
Publication date
2009
Article pages
61-90
Publisher
IOS Press
DOI
http://dx.doi.org//10.3233/ASY-2008-0925
URI
https://basepub.dauphine.fr/handle/123456789/3254
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Delarue, François
102 Laboratoire de Probabilités et Modèles Aléatoires [LPMA]
Rhodes, Rémi
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
We investigate stochastic homogenization for some degenerate quasilinear pa rabolic PDEs. The underlying nonlinear operator degenerates along the space variable, uniformly in the nonlinear term: the degeneracy points correspond to the degeneracy points of a reference diffusion operator on the random medium. Assuming that this reference diffusion operator is ergodic, we can prove the homogenization property for the quasilinear PDEs, by means of the first order approximation method. The (nonlinear) limit operator needn't be nondegenerate. Concrete examples are provided.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.