Representation, relaxation and convexity for variational problems in Wiener spaces
Analysis of PDEs
2012-05-29 v3 Functional Analysis
Probability
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.
Cite
@article{arxiv.1109.6094,
title = {Representation, relaxation and convexity for variational problems in Wiener spaces},
author = {Antonin Chambolle and Michael Goldman and Matteo Novaga},
journal= {arXiv preprint arXiv:1109.6094},
year = {2012}
}