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arXiv · 1109.6094

Representation, relaxation and convexity for variational problems in Wiener spaces

Antonin Chambolle·Michael Goldman·Matteo Novaga
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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.

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Antonin Chambolle, Michael Goldman, Matteo Novaga. 2012-05-27. Representation, relaxation and convexity for variational problems in Wiener spaces. https://arxiv.org/abs/1109.6094

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