5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2023
Remarks on parabolic Kolmogorov operator
D. Kinzebulatov, Yu. A. Semenov
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…
math.AP2021
On the supercritical fractional diffusion equation with Hardy-type drift
D. Kinzebulatov, K. R. Madou, Yu. A. Semenov
We study the heat kernel of the supercritical fractional diffusion equation with the drift in the critical Hölder space. We show that such a drift can have point irregularities str…
math.AP2019★ 5 cited
Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights
D. Kinzebulatov, Yu. A. Semenov, K. Szczypkowski
We establish sharp two-sided bounds on the heat kernel of the fractional Laplacian, perturbed by a drift having critical-order singularity, by transferring it to appropriate weight…