Representation, relaxation and convexity for variational problems in Wiener spaces

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.

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Field Value
Source ISSN: 0021-7824
Author Chambolle, Antonin, Goldman, Michael, Novaga, Matteo
Maintainer CCSD
Last Updated May 16, 2026, 22:01 (UTC)
Created May 16, 2026, 22:01 (UTC)
Identifier hal-00627083
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Centre de Mathématiques Appliquées de l'Ecole polytechnique (CMAP) ; Institut National de Recherche en Informatique et en Automatique (Inria)-École polytechnique (X) ; Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)
creator Chambolle, Antonin
date 2013-05-16T00:00:00
harvest_object_id 5b6a31a7-2f31-428c-84a6-6cb6ccc1a7c8
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-04T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1109.6094
set_spec type:ART