First and Second Order Optimality Conditions for the Control of Fokker-Planck Equations

M. Soledad Aronna, Fredi Tröltzsch

In this article we study an optimal control problem subject to the Fokker-Planck equation \[ \partial_t ρ- νΔρ- {\rm div } \big(ρB[u]\big) = 0. \] The control variable $u$ is time-…