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

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Showing 2012 · math.APShow all

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math.AP2012

On $C^{1 + α}$ regularity of solutions of Isaacs parabolic equations with VMO coefficients

N. V. Krylov

We prove that boundary value problems for fully nonlinear second-order parabolic equations admit $L_{p}$ -viscosity solutions, which are in $C^{1 + α}$ for an $α \in (0, 1)$ . The equatio…

math.AP2012

An ersatz existence theorem for fully nonlinear parabolic equations without convexity assumptions

N. V. Krylov

We show that for any uniformly parabolic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term in the whole space or in any cylindric…

On C1+α regularity of solutions of Isaacs parabolic equations with VMO coefficients

An ersatz existence theorem for fully nonlinear parabolic equations without convexity assumptions

On $C^{1 + α}$ regularity of solutions of Isaacs parabolic equations with VMO coefficients