Y. Semenov

activity

20032022

most citedBrownian motion with general drift

3 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2022★ 1 cited

Regularity for parabolic equations with singular non-zero divergence vector fields

Damir Kinzebulatov, Yuliy A. Semenov

We establish two-sided Gaussian bounds on the heat kernel of divergence-form parabolic equation with singular time-inhomogeneous vector field satisfying some minimal assumptions.

math.PR2021

Sharp solvability for singular SDEs

Damir Kinzebulatov, Yuliy A. Semenov

The attracting inverse-square drift provides a prototypical counterexample to solvability of singular SDEs: if the coefficient of the drift is larger than a certain critical value,…

math.PR2021★ 1 cited

Stochastic transport equation with singular drift

Damir Kinzebulatov, Yuliy A. Semenov, Renming Song

We prove existence, uniqueness and Sobolev regularity of weak solution of the Cauchy problem of the stochastic transport equation with drift in a large class of singular vector fie…

math.PR2017★ 3 cited

Brownian motion with general drift

D. Kinzebulatov, Yu. A. Semenov

We construct and study the weak solution to stochastic differential equation $d X (t) = - b (X (t)) d t + 2 d W (t)$ , $X_{0} = x$ , for every $x \in R^{d}$ , $d \geq 3$ , with $b$ in the c…

math.AP2017

On the theory of the Kolmogorov operator in the spaces $L^{p}$ and $C_{\infty} .$ I

D. Kinzebulatov, Yu. A. Semenov

We obtain the basic results concerning the problem of constructing operator realizations of the formal differential expression $\nabla \cdot a \cdot \nabla - b \cdot \nabla$ with m…

gr-qc2003

On irreducible partials of Ricci tensor traceless part in finite space-time region in GR

Yu. Semenov

Riemann tensor irreducible part $E_{ik l m} = 1/2 (g_{i l} S_{k m} + g_{k m} S_{i l} - g_{im} S_{k l} - g_{k l} S_{im})$ constructed from metric tensor $g_{ik}$ and traceless part of Ricci t…