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arxiv: 1109.6094 · v3 · pith:CC7WH6SQnew · submitted 2011-09-28 · 🧮 math.AP · math.FA· math.PR

Representation, relaxation and convexity for variational problems in Wiener spaces

Antonin Chambolle (CMAP) , Michael Goldman (CMAP) , Matteo Novaga This is my paper
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keywords convexityproblemsrepresentationvariationalwieneranalogousclassclassical
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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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