Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games

created by santambro on 31 Mar 2017

[BibTeX]

Preprint

Inserted: 31 mar 2017
Last Updated: 31 mar 2017

Year: 2017
Notes:

paper still to be submitted, any comment is welcome

Abstract:

We consider minimization problems for curves of measure, with kinetic and potential energy and a congestion penalization, as in the functionals that appear in Mean Field Games with a variational structures. We prove $L^\infty$ regularity results for the optimal density via time-discretization arguments, displacement convexity, and suitable Moser iterations.