Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

F Golse, Cyril Imbert, Clément Mouhot +1

We extend the De Giorgi--Nash--Moser theory to a class of kinetic Fokker-Planck equations and deduce new results on the Landau-Coulomb equation. More precisely, we first study the…