Kinetic SDEs with subcritical distributional drifts

Zikai Chen, Zimo Hao, Xicheng Zhang

In this paper we study the well-posedness of the kinetic stochastic differential equation (SDE) in ${\mathbb{R}}^{2d}(d\ge 2)$ driven by Brownian motion: $$\mathord{\rm d} X_t=V_t\mat…