Wednesday, December 6, 2017 - 17:00 in V3-201
On $L^1$-bounds for solutions to stationary Fokker-Planck-Kolmogorov equations
A talk in the Bielefeld Stochastic Afternoon series by
Vladimir Bogachev from Moscow State University
| Abstract: |
Fokker--Planck--Kolmogorov equations of the form $\Delta \mu-{\rm div}(b\mu)=0$ in the class of probability measures on $\mathbb{R}^d$
we discuss various estimates on solution densities in terms of the integrability of the drift term $b$ with respect to the solution.
Some negative results related to $L^1$-bounds will be presented.
Under stronger assumptions about $b$ some positive results will be mentioned along with a number of simply stated open questions.
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