Mathematical Aspects of Collective Dynamics:
Kinetic Description and Fractional Diffusion

De Giorgi holder regularity theory applied to kinetic-type equations

Alexis Vasseur

University of Texas at Austin

In this talk, we will present recent results of holder regularity for solutions to kinetic equations. It includes a result of partial regularity for the homogenous Landau equation (in collaboration with Francois Golse and Cyril Imbert). We will also present a result of holder regularity for a class of hypo-elliptic nonlocal equation (result of Logan Stokols).