  We consider backward fractional Kolmogorov equations with singular Besov
drift of low regularity and singular terminal conditions. To treat drifts
beyond the socalled Young regime, we assume an enhancement assumption on the
drift and consider paracontrolled terminal conditions. Our work generalizes
previous results on the equation from Cannizzaro, Chouk 2018 and Kremp,
Perkowski 2022 to the case of singular paracontrolled terminal conditions and
simultaneously treats singular and non-singular data in one concise solution
theory. We introduce a paracontrolled solution space, that implies parabolic
time and space regularity on the solution without introducing the socalled
"modified paraproduct" from Gubinelli, Perkowski 2017. The tools developed in
this article apply for general linear PDEs that can be tackled with the
paracontrolled ansatz.
