Representation, relaxation and convexity for variational problems in Wiener spaces - Centre de mathématiques appliquées (CMAP)
Pré-Publication, Document De Travail Année : 2012

Representation, relaxation and convexity for variational problems in Wiener spaces

Résumé

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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Dates et 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)

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Antonin Chambolle, Michael Goldman, Matteo Novaga. Representation, relaxation and convexity for variational problems in Wiener spaces. 2012. ⟨hal-00627083v3⟩
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