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arXiv · 2209.04537

On divergence-free (form-bounded type) drifts

Damir Kinzebulatov·Reihaneh Vafadar
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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.

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Damir Kinzebulatov, Reihaneh Vafadar. 2022-09-09. On divergence-free (form-bounded type) drifts. https://arxiv.org/abs/2209.04537

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