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math.AP2020★ 1 cited
Kolmogorov operator with the vector field in Nash class
D. Kinzebulatov, Yu. A. Semenov
We consider divergence-form parabolic equation with measurable uniformly elliptic matrix and the vector field in a large class containing, in particular, the vector fields in …
math.AP2020★ 2 cited
Fractional Kolmogorov operator and desingularizing weights
D. Kinzebulatov, Yu. A. Semenov
We establish sharp upper and lower bounds on the heat kernel of the fractional Laplace operator perturbed by Hardy-type drift by transferring it to appropriate weighted space with…