  Usually Fokker-Planck type partial differential equations (PDEs) are
well-posed if the initial condition is specified. In this paper, alternatively,
we consider the inverse problem which consists in prescribing final data: in
particular we give sufficient conditions for existence and uniqueness. In the
second part of the paper we provide a probabilistic representation of those
PDEs in the form a solution of a McKean type equation corresponding to the
time-reversal dynamics of a diffusion process.
