On divergence-free (form-bounded type) drifts
Analysis of PDEs
2022-09-13 v1 Probability
Abstract
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.
Cite
@article{arxiv.2209.04537,
title = {On divergence-free (form-bounded type) drifts},
author = {Damir Kinzebulatov and Reihaneh Vafadar},
journal= {arXiv preprint arXiv:2209.04537},
year = {2022}
}