- Info
Antonello Pese
University of Bologna, Department of Mathematics
Density and gradient estimates for Kinetic SDEs with low regularity coefficients
We discuss some recent results on Kinetic degenerate Kolmogorov SDEs with non-linear drift: we show two sided bounds and pointwise controls of its derivatives, under somehow minimal assumptions that guarantee that the equation is weakly well posed.
These estimates reflect the transport of the initial condition by the unbounded drift through an auxiliary, possibly regularized flow.