N. Krylov

activity

20022026

most citedA priori estimates of smoothness of solutions to difference Bellman equations with linear and quasilinear operators

18 citations · 145 across the 43 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.PR2020★ 4 cited

On strong solutions of Itô's equations with a $\in W_{d}^{1}$ and b $\in L_{d}$

N. V. Krylov

We consider Itô uniformly nondegenerate equations with time independent coefficients, the diffusion coefficient in $W_{d, l oc}^{1}$ , and the drift in $L_{d}$ . We prove the unique st…

math.AP2020★ 3 cited

Elliptic equations with VMO a, b $\in L_{d}$ , and c $\in L_{d /2}$

N. V. Krylov

We consider elliptic equations with operators $L = a^{ij} D_{ij} + b^{i} D_{i} - c$ with $a$ being almost in VMO, $b \in L_{d}$ and $c \in L_{q}$ , $c \geq 0$ , $d > q \geq d /2$ . We prove the solva…

math.AP2020★ 1 cited

Linear and fully nonlinear elliptic equations with $L_{d}$ -drift

N. V. Krylov

In subdomains of $R^{d}$ we consider uniformly elliptic equations $H (v (x), D v (x), D^{2} v (x), x) = 0$ with the growth of $H$ with respect to $∣ D v ∣$ controlled by th…

math.PR2020★ 3 cited

On stochastic Itô processes with drift in $L_{d}$

N. V. Krylov

For Itô stochastic processes in $R^{d}$ with drift in $L_{d}$ Aleksandrov's type estimates are established in the elliptic and parabolic settings. They are applied to esti…

math.PR2020★ 11 cited

On stochastic equations with drift in $L_{d}$

N. V. Krylov

For Itô stochastic equations in $R^{d}$ with drift in $L_{d}$ several results are discussed such as the existence of weak solutions, the existence of the corresponding Mar…

On strong solutions of Itô's equations with a∈Wd1​ and b∈Ld​

Elliptic equations with VMO a, b∈Ld​, and c∈Ld/2​

Linear and fully nonlinear elliptic equations with Ld​-drift

On stochastic Itô processes with drift in Ld​

On stochastic equations with drift in Ld​

On strong solutions of Itô's equations with a $\in W_{d}^{1}$ and b $\in L_{d}$

Elliptic equations with VMO a, b $\in L_{d}$ , and c $\in L_{d /2}$

Linear and fully nonlinear elliptic equations with $L_{d}$ -drift

On stochastic Itô processes with drift in $L_{d}$

On stochastic equations with drift in $L_{d}$