  This paper presents a partial state of the art about the topic of
representation of generalized Fokker-Planck Partial Differential Equations
(PDEs) by solutions of McKean Feynman-Kac Equations (MFKEs) that generalize the
notion of McKean Stochastic Differential Equations (MSDEs). While MSDEs can be
related to non-linear Fokker-Planck PDEs, MFKEs can be related to
non-conservative non-linear PDEs. Motivations come from modeling issues but
also from numerical approximation issues in computing the solution of a PDE,
arising for instance in the context of stochastic control. MFKEs also appear
naturally in representing final value problems related to backward
Fokker-Planck equations.
