Nicolai V Krylov

most citedSecond-order elliptic equations with variably partially VMO coefficients

1 citations · 2 across the 3 of their papers we have counts for

collaborators

Showing math.PRShow all

2 papers · 1 filter

math.PR2008

Itô's formula for the $L_{p}$ -norm of stochastic $W_{p}^{1}$ -valued processes

N. V. Krylov

We prove Itô's formula for the $L_{p}$ -norm of a stochastic $W_{p}^{1}$ -valued processes appearing in the theory of SPDEs in divergence form.

math.PR2008

On divergence form SPDEs with VMO coefficients in a half space

N. V. Krylov

We extend several known results on solvability in the Sobolev spaces $W_{p}^{1}$ , $p \in [2, \infty)$ , of SPDEs in divergence form in $\bR^{d}_{+}$ to equations having coefficients wh…

Itô's formula for the Lp​-norm of stochastic Wp1​-valued processes

On divergence form SPDEs with VMO coefficients in a half space

Itô's formula for the $L_{p}$ -norm of stochastic $W_{p}^{1}$ -valued processes