This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

We force uniqueness in finite state mean field games by adding a Wright–Fisher common
noise. We achieve this by analyzing the master equation of this game, which is a degenerate …

We consider a class of equations in divergence form with a singular/degenerate weight− div
(| y| a A (x, y)∇ u)=| y| af (x, y) or div (| y| a F (x, y)). Under suitable regularity assumptions for …

We consider the Dirichlet problem for a class of elliptic and parabolic equations in the upper-
half space $\mathbb {R}^ d_+ $, where the coefficients are the product of …

Forcing finite state mean field games by a relevant form of common noise is a subtle issue,
which has been addressed only recently. Among others, one possible way is to subject the …

The goal of this paper is to provide a selection principle for potential mean field games on a
finite state space and, in this respect, to show that equilibria that do not minimize the …

We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with
degeneracy and singularity occurring in the interior of the spatial domain. Our results are …

We consider a class of equations in divergence form with a singular/degenerate weight $$-
\mathrm {div}(| y|^ a A (x, y)\nabla u)=| y|^ af (x, y)+\textrm {div}(| y|^ aF (x, y))\;. $$ Under …

Spectacular achievements of the past 20 years at the interface of harmonic analysis,
geometric measure theory, and partial diffferential equations (PDEs) have finally identified …