Analytic smoothness effect of solutions for spatially homogeneous Landau equation

In this paper, we study the smoothness effect of Cauchy problem for the spatially homogeneous Landau equation in the hard potential case and the Maxwellian molecules case. We obtain the analytic smoothing effect for the solutions under rather weak assumptions on the initial datum.Comment: 16 page

The Gevrey Hypoellipticity for linear and non-linear Fokker-Planck equations

In this paper, we study the Gevrey regularity of weak solution for a class of linear and quasilinear Fokker-Planck equations