On the Fokker–Planck Equations with inflow boundary conditions

The results in this paper extend those of a 2014 work of the first author, Jang and Velazquez. Instead of considering absorbing boundary data, we treat the general inflow boundary conditions and obtain the well-posedness, regularity up to the singular set, and asymptotic behavior of solutions to the Fokker-Planck equation in an interval with the inflow boundary conditions.