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A-priori estimates for mean-field games

Martedi' 15 Maggio 2012 - Diogo Gomes

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Martedi' 15 Maggio 2012 alle ore 12:15 in aula 1BC45, Diogo Gomes (Universidade Tecnica de Lisboa) terra' un seminario dal titolo "A-priori estimates for mean-field games".

-Abstract
In this talk we discuss a number of techniques to obtain a-priori estimates for stationary mean-field games. First we explore the special variational structure of a class of mean-field games to obtain various regularity results by elementary methods. Then we use the Evans adjoint method to obtain a-priori regularity estimates for viscosity solutions of Hamilton-Jacobi equations with Sobolev coefficients. This allow us to establish the existence of smooth solutions for a class of stationary mean-field games.

Rif. int. M. Bardi, P. Mannucci, C. Marchi

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