1 citations · 2 across the 3 of their papers we have counts for
4 papers
Second-order elliptic equations with variably partially VMO coefficients
N. V. Krylov
The solvability in $W^{2}_{p}(\bR^{d})$ spaces is proved for second-order elliptic equations with coefficients which are measurable in one direction and VMO in the orthogonal direc…
Itô's formula for the -norm of stochastic -valued processes
N. V. Krylov
We prove Itô's formula for the -norm of a stochastic -valued processes appearing in the theory of SPDEs in divergence form.
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 , , of SPDEs in divergence form in $\bR^{d}_{+}$ to equations having coefficients wh…
On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra
N. V. Krylov
We discuss the possibility to represent smooth nonnegative matrix-valued functions as finite linear combinations of fixed matrices with positive real-valued coefficients whose squa…