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arXiv · 2303.03993

Remarks on parabolic Kolmogorov operator

D. Kinzebulatov·Yu. A. Semenov
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Abstract

We obtain gradient estimates on solutions to parabolic Kolmogorov equation with singular drift in a large class. Such estimates allow to construct a Feller evolution family, which is used to construct unique weak solutions to the corresponding stochastic differential equation.

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D. Kinzebulatov, Yu. A. Semenov. 2023-03-07. Remarks on parabolic Kolmogorov operator. https://arxiv.org/abs/2303.03993

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