Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

We establish heat kernel and gradient estimates for the den-sity of kinetic degenerate Kolmogorov stochastic differential equations. Our results are established under somehow mini-mal assumptions that guarantee the SDE is weakly well posed. (c) 2023 Elsevier Masson SAS. All rights reserved.

Automated summary

We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differential equations. Our results are established under minimal assumptions that guarantee the SDE is weakly well posed.