On Parabolic Equations for Measures

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Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces (2009, methodology): “[7] and also [5], [6]) based on the method of constructing Lyapunov functions with weakly compact level sets for the Kolmogorov operator L0, which does not apply when Tr C = ∞.”
Steady States of Fokker–Planck Equations: I. Existence (2015, unknown): “Then for any Ω′ ⊂⊂ Ω, sup x∈Ω′ u(x) ≤ C inf x∈Ω′ u(x), where C > 0 is a constant depending only on n, p, q, |λ−1|Lp(Ω), |Λ|Lq(Ω), |g|Lq(Ω) and dist(Ω′, ∂Ω).”
Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients (2015, result): “Let us point out some recent developments [7, 9, 11] and in particular [10] which also contains a survey of known results and methods for the degenerate case.”
Uniqueness of solutions to weak parabolic equations for measures (2007, methodology): “It was shown in [4] (see also [3]) that under reasonable assumptions on the coefficients, there exists a solution (μt)t∈(0,T ) to the weak parabolic initial value problem (1.”