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math.AP2013★ 1 cited
On estimates of solutions of Fokker--Planck--Kolmogorov equations with potential terms and non uniformly elliptic diffusion matrices
Stanislav V. Shaposhnikov
We consider Fokker--Planck--Kolmogorov equations with unbounded coefficients and obtain upper estimates of solutions. We also obtain new estimates involving Lyapunov functions.
math.AP2013★ 4 cited
On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains
Oxana A. Manita, Stanislav V. Shaposhnikov
We study the Cauchy problem for Fokker--Planck--Kolmogorov equations with unbounded and degenerate coefficients. Sufficient conditions for the existence and uniqueness of solutions…
math.PR2013★ 4 cited
An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations
Vladimir I. Bogachev, Giuseppe Da Prato, Michael Röckner +1
We prove a new uniqueness result for solutions to Fokker-Planck-Kolmogorov (FPK) equations for probability measures on infinite-dimensional spaces. We consider infinite-dimensional…