Yu. A. Semënov

activity

20202024

most citedFractional Kolmogorov operator and desingularizing weights

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2024★ 1 cited

Feller generators with singular drifts in the critical range

D. Kinzebulatov, Yu. A. Semenov

We consider diffusion operator $- Δ + b \cdot \nabla$ in $R^{d}$ , $d \geq 3$ , with drift $b$ in a large class of locally unbounded vector fields that can have critical-order si…

math.AP2021

Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields

D. Kinzebulatov, Yu. A. Semenov

We consider Kolmogorov operator $- \nabla \cdot a \cdot \nabla + b \cdot \nabla$ with measurable uniformly elliptic matrix $a$ and prove Gaussian lower and upper bounds on its heat…

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 $L^{p}$ …

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…