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Convexity of the minimizers of some variational problems in the Wiener space

Mercoledi' 26 Ottobre 2011 - Michael Goldman

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Mercoledi' 26 ottobre 2011 alle ore 13:00 in aula 2BC30 Michael Goldman (Ecole Polytechnique, Parigi) terra' un seminario dal titolo "Convexity of the minimizers of some variational problems in the Wiener space".

-Abstract
In this talk I will present a convexity result for variational problems in the Gauss and Wiener spaces. The proof is based on the approximation of this infinite dimensional problem by finite dimensional ones via Gamma-convergence. The convexity of the minimizers of the finite dimensional problem is obtained using the ideas of Alvarez, Lasry and Lions. A central point in the proof of the Gamma-convergence is the study of representation and relaxation of integral functionals in this setting.

Rif. int. M. Bardi, C. Marchi, M. Novaga

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