Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions

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On Parabolic Equations for Measures (2008, methodology): “coefficients A and b were approximated by piece-wise constant (in t) coefficients and the results from [2], [3] and [8] on the semigroups generated by time-independent elliptic operators were employed.”
Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces (2009, methodology): “This is, of course, a consequence of uniqueness of solutions, which in turn follows from a technique developed by us in several papers first in finite (see [11] and also [13], [14] for the elliptic case) and subsequently in infinite dimensions (see [8] and Section 3 below).”
Steady States of Fokker–Planck Equations: I. Existence (2015, unknown): “We call Γ =: ∂U ⊂ En the boundary of U if p(Γ) is the boundary of p(U) in B̄ n.”
Elliptic and parabolic equations for measures (2009, background): “We now consider the case of nonconstant A studied in [46], [47], where the proofs can be found.”