A note on non-coercive first order Mean Field Games with analytic data
Analysis of PDEs
2019-03-14 v2 Optimization and Control
Abstract
We study first order evolutive Mean Field Games whose operators are non-coercive. This situation occurs, for instance, when some directions are `forbidden' to the generic player at some points. Under some regularity assumptions, we establish existence of a weak solution of the system. Mainly, we shall describe the evolution of the population's distribution as the push-forward of the initial distribution through a flow, suitably defined in terms of the underlying optimal control problem.
Cite
@article{arxiv.1805.01147,
title = {A note on non-coercive first order Mean Field Games with analytic data},
author = {Paola Mannucci and Claudio Marchi and Carlo Mariconda and Nicoletta Tchou},
journal= {arXiv preprint arXiv:1805.01147},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1811.12710