Nicolai V. Krylov

activity

20052019

most citedParabolic equations with measurable coefficients

24 citations · 66 across the 29 of their papers we have counts for

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Showing 2008 · math.APShow all

2 papers · 2 filters

math.AP2008

Second-order elliptic and parabolic equations with $B (R^{2}, V M O)$ coefficients

Hongjie Dong, N. V. Krylov

The solvability in Sobolev spaces $W_{p}^{1, 2}$ is proved for nondivergence form second order parabolic equations for $p > 2$ close to 2. The leading coefficients are assumed to be mea…

math.AP2008★ 1 cited

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…

Second-order elliptic and parabolic equations with B(R2,VMO) coefficients

Second-order elliptic equations with variably partially VMO coefficients

Second-order elliptic and parabolic equations with $B (R^{2}, V M O)$ coefficients