24 citations · 66 across the 29 of their papers we have counts for
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On the existence of smooth solutions for fully nonlinear parabolic equations with measurable "coefficients" without convexity assumptions
Hongjie Dong, Nicolai V. Krylov
We show that for any uniformly parabolic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term in any cylindrical smooth domain with…
On the existence of smooth solutions for fully nonlinear elliptic equations with measurable "coefficients" without convexity assumptions
N. V. Krylov
We show that for any uniformly elliptic fully nonlinear second-order equation with bounded measurable "coefficients" and bounded "free" term one can find an approximating equation…
Rate of convergence of difference approximations for uniformly nondegenerate elliptic Bellman's equations
N. V. Krylov
We show that the rate of convergence of solutions of finite-difference approximations for uniformly elliptic Bellman's equations is of order at least , where is the me…
On the existence of solutions for fully nonlinear elliptic equations under relaxed convexity assumptions
N. V. Krylov
We establish the existence and uniqueness of solutions of fully nonlinear elliptic second-order equations like in smooth domains without requiring to be co…
Some -estimates for elliptic and parabolic operators with measurable coefficients
N. V. Krylov
We consider linear elliptic and parabolic equations with measurable coefficients and prove two types of -estimates for their solutions, which were recently used in the theor…