Representation, relaxation and convexity for variational problems in Wiener spaces - Archive ouverte HAL Access content directly
Journal Articles Journal de Mathématiques Pures et Appliquées Year : 2013

Representation, relaxation and convexity for variational problems in Wiener spaces

(1) , (1) , (2)
1
2

Abstract

We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends analogous results valid in the classical Euclidean framework.
Fichier principal
Vignette du fichier
convexity_wienerv3.pdf (192.76 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00627083 , version 1 (27-09-2011)
hal-00627083 , version 2 (27-09-2011)
hal-00627083 , version 3 (07-05-2012)
hal-00627083 , version 4 (26-05-2012)

Identifiers

Cite

Antonin Chambolle, Michael Goldman, Matteo Novaga. Representation, relaxation and convexity for variational problems in Wiener spaces. Journal de Mathématiques Pures et Appliquées, 2013. ⟨hal-00627083v4⟩
181 View
286 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More