On $L^1$-estimates for probability solutions to Fokker-Planck-Kolmogorov equations

Vladimir I. Bogachev, Svetlana N. Popova, Stanislav V. Shaposhnikov

We prove two new results connected with elliptic Fokker-Planck-Kolmogorov equations with drifts integrable with respect to solutions. The first result answers negatively a long-sta…