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math.AP2015★ 2 cited
Estimates for Kantorovich functionals between solutions to Fokker -- Planck -- Kolmogorov equations with dissipative drifts
Oxana Manita
We obtain estimates for the Kantorovich functionals between solutions to different Fokker -- Planck -- Kolmogorov equations for measures with same diffusion part but different drif…
math.AP2014
On uniqueness of solutions to nonlinear Fokker--Planck--Kolmogorov equations
Oxana A. Manita, Maxim S. Romanov, Stanislav V. Shaposhnikov
We study uniqueness of flows of probability measures solving the Cauchy problem for nonlinear Fokker-Planck-Kolmogorov equation with unbounded coefficients. Sufficient conditions f…
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…