On Harnack inequalities and optimal transportation - Institut Camille Jordan Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2012

On Harnack inequalities and optimal transportation

Résumé

We develop connections between Harnack inequalities for the heat flow of diffusion operators with curvature bounded from below and optimal transportation. Through heat kernel inequalities, a new isoperimetric-type Harnack inequality is emphasized. Commutation properties between the heat and Hopf-Lax semigroups are developed consequently, providing direct access to the heat flow contraction property along Wasserstein distances.
Fichier principal
Vignette du fichier
Harnack.pdf (187.1 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00742654 , version 1 (16-10-2012)
hal-00742654 , version 2 (17-10-2012)
hal-00742654 , version 3 (18-10-2012)
hal-00742654 , version 4 (25-10-2012)
hal-00742654 , version 5 (08-07-2013)

Identifiants

Citer

Dominique Bakry, Ivan Gentil, Michel Ledoux. On Harnack inequalities and optimal transportation. 2012. ⟨hal-00742654v3⟩

Collections

ICJ
689 Consultations
309 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More