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regularity of solutions of PDEs.

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$C^{1,2}$-regularity of the kinetic Fokker-Planck equation/Langevin equation

Under the parabolic Hormander condition one can classically obtain $C^\infty$ regularity. However, I prefer not to assume that $b$ is smooth in $t$ (possibly discontinuous in time). … Does anyone know of literature providing such regularity? …