On divergence-free (form-bounded type) drifts

Damir Kinzebulatov, Reihaneh Vafadar

Published 2022-09-09Version 1

We develop regularity theory for elliptic Kolmogorov operator with divergence-free drift in a large class (or, more generally, drift having singular divergence). A key step in our proofs is "Caccioppoli's iterations", used in addition to the classical De Giorgi's iterations and Moser's method.