2 citations · 3 across the 4 of their papers we have counts for
5 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…
Elliptic and parabolic second-order PDEs with growing coefficients
N. V. Krylov, E. Priola
We consider a second-order parabolic equation in $\bR^{d+1}$ with possibly unbounded lower order coefficients. All coefficients are assumed to be only measurable in the time variab…
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 divergence form SPDEs with VMO coefficients
N. V. Krylov
We present several results on solvability in Sobolev spaces of SPDEs in divergence form in the whole space.
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…