Regularity for rough hypoelliptic equations

Helge Dietert (1) , Jonas Hirsch (2)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 Leipzig University / Universität Leipzig

We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does not study the commutator structure but rather compares the rough solution with a smooth problem for which the estimates are assumed.

Domaines: Equations aux dérivées partielles [math.AP]

Helge Dietert, Jonas Hirsch. Regularity for rough hypoelliptic equations. 2022. ⟨hal-03853087⟩