3 papers
math.AP2026
Infinite-dimensional nonlinear stationary Fokker-Planck-Kolmogorov equations
Vladimir I. Bogachev, Michael Röckner, Stanislav V. Shaposhnikov
We prove existence of a probability solution to the nonlinear stationary Fokker-Planck-Kolmogorov equation on an infinite dimensional space with a centered Gaussian measure wi…
math.AP2026
The Dirichlet problem for double divergence form elliptic equations with measures as boundary conditions
V. I. Bogachev, S. V. Shaposhnikov
We introduce and study the Dirichlet problem for double divergence form elliptic equations with coefficients of low regularity and boundary conditions given by general Borel measur…
math.AP2025
Estimates for the distances between solutions to Kolmogorov equations with diffusion matrices of low regularity
Vladimir I. Bogachev, Stanislav V. Shaposhnikov
We obtain estimates for the weighted -norm of the difference of two probability solutions to Kolmogorov equations in terms of the difference of the diffusion matrices and the…