Abstract: In this talk, I would report some recent results on the Gevrey (or analytic) regularities of solutions for some degenerate partial di erential equations, which including: (1) generalized Kolmogorov equations (or linear Boltzmann equations), (2) Fokker-Planck equations, (3) Landau equations, and (4) sub-elliptic Monge-Ampere equations.
