GLOBAL Lp ESTIMATES FOR KINETIC KOLMOGOROV-FOKKER-PLANCK EQUATIONS IN DIVERGENCE FORM.

We present a priori estimates and unique solvability results in the mixed-norm Lebesgue spaces for the kinetic Kolmogorov-Fokker-Planck (KFP) equation in divergence form. The leading coefficients are bounded uniformly nondegenerate with respect to the velocity variable v and satisfy a vanishing mean oscillation (VMO) type condition. We consider the L₂ case separately and treat more general equations, which include the relativistic KFP equation. This paper is a continuation of our previous work on L_p estimates for KFP equations in nondivergence form. [ABSTRACT FROM AUTHOR]