Representation, relaxation and convexity for variational problems in Wiener spaces

Details Representation, relaxation and convexity for variational problems in Wiener spaces Representation, relaxation and convexity for variational problems in Wiener spaces

2011-09-28

arxiv.org/abs/1109.6094v1

Mathematics

Analysis of PDEs

Scientific paper

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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