2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130653The problem of reconstructing the drift of a diffusion in $\erre^d$, $d\geq 2$, from the transition probability density observed outside a domain is considered. The solution of this problem also solves a new inverse problem for a class of parabolic partial differential equations. This work considerably extends \cite{jsp} in terms of generality, both concerning assumptions on the drift coefficient, and allowing for non-constant diffusion coefficient. Sufficient conditions for solvability of this type of inverse problem for $d=1$ are also given.12 pages, amsartProbabilityStatistics TheoryPrimary 62M99, 60J60; Secondary 60J35, 35R30, 44A12text