N. Krylov

发表

Controlled Diffusion Processes

N. Krylov, 1980 .

ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS

V. Bogachev, N. Krylov, M. Röckner, 2001 .

An Approach to Controlled Diffusion Processes

N. Krylov, 1987 .

The Construction of an Optimal Strategy for a Finite Controlled Chain

N. Krylov, 1965 .

On Diffusion Processes with Drift in L_d+ 1

N. Krylov, 2022, Potential Analysis.

On potentials of Itô’s Processes with Drift in Ld+ 1

N. Krylov, 2022, Potential Analysis.

Linear and Fully Nonlinear Elliptic Equations with Morrey Drift

N. Krylov, 2021, Journal of Mathematical Sciences.

On Extending the Optimality Region of Wald’s Test

N. Krylov, T. Miroshnichenko, 1980 .

Second-order parabolic equations in ^{1,}₂(ℝ^{+1})

N. Krylov, 2008 .

Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients

N. Krylov, 2022, 2204.13255.

HÖRMANDER’S THEOREM FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

N. Krylov, 2016 .

MEAN VALUE THEOREMS FOR STOCHASTIC INTEGRALS 1

N. Krylov, 2001 .

On Diffusion Processes with Drift in Ld+ 1

N. Krylov, 2020, Potential Analysis.

On strong solutions of time inhomogeneous It\^o's equations with Morrey diffusion and drift

N. Krylov, 2022, 2206.07871.

Elliptic differential equations with measurable coefficients

N. Krylov, Doyoon Kim, 2005, math/0512515.

On the Rate of Convergence of Difference Approximations for Uniformly Nondegenerate Elliptic Bellman’s Equations

N. Krylov, 2013, Applied Mathematics & Optimization.

On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

R. Khasminskii, N. Krylov, 2022, Statistical Inference for Stochastic Processes.

On parabolic Adams's theorem and some other results related to parabolic Morrey spaces

N. Krylov, 2021, 2110.09555.

C1+α-Regularity of Viscosity Solutions of General Nonlinear Parabolic Equations

N. Krylov, 2018, Journal of Mathematical Sciences.

On the Existence of Smooth Solutions for Fully Nonlinear Parabolic Equations with Measurable “Coefficients” without Convexity Assumptions

N. Krylov, Hongjie Dong, 2013 .

On the Existence of Solutions for Fully Nonlinear Elliptic Equations Under Relaxed Convexity Assumptions

N. Krylov, 2012, 1203.1655.

On the Rate of Convergence of the Finite-Difference Approximations for Parabolic Bellman Equations with Constant Coefficients

N. Krylov, Jun Luo, 2008 .

Elliptic and Parabolic Second-Order PDEs with Growing Coefficients

N. Krylov, E. Priola, 2008, 0806.3100.

Parabolic and Elliptic Equations with VMO Coefficients

N. Krylov, Nicolai V Krylov, 2005, math/0511731.

Introduction to the Theory of Random Processes

N. Krylov, N. Krylov, 2002 .

Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes

N. V. Krylov, N. Krylov, 2022, Stochastics and Partial Differential Equations: Analysis and Computations.

Second-order elliptic equations with variably partially VMO coefficients

N. Krylov, Nicolai V Krylov, 2008, 0807.0926.

On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

R. Z. Khasminskii, N. V. Krylov, R. Khasminskii, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

Elliptic and parabolic equations for measures

V. Bogachev, N. Krylov, M. Röckner, 2009 .

CONTROL OF MARKOV PROCESSES AND $ W$-SPACES

N. Krylov, N V Krylov, 1971 .

On nonequivalence of regular boundary points for second-order elliptic operators

N. Krylov, N. Krylov, Timur Yastrzhembskiy, 2016, 1606.06346.

Degeneracy domain of a nonlinearity in the Hamilton-Jacobi-Bellman equation with constant coefficients

G. V. Nosovskii, N. Krylov, M. Safonov, 1987 .

On parabolic equations in one space dimension

N. Krylov, 2015, 1505.02330.

On diffusion processes with B ( R 2 , VMO ) coefﬁcients and “good” Green’s functions of the corresponding operators

N. Krylov, 2020 .

Poisson Stochastic Process and Basic Schauder and Sobolev Estimates in the Theory of Parabolic Equations

N. Krylov, E. Priola, 2016, Archive for Rational Mechanics and Analysis.

On singularity as a function of time of a conditional distribution of an exit time

N. Krylov, 2015, Probability Theory and Related Fields.

Hypoellipticity for filtering problems of partially observable diffusion processes

N. Krylov, 2014, Probability Theory and Related Fields.

A relatively short proof of Itô’s formula for SPDEs and its applications

N. Krylov, 2013, Stochastic Partial Differential Equations: Analysis and Computations.

A theorem on degenerate elliptic Bellman equations in bounded domains

N. Krylov, 1995, Differential and Integral Equations.

The Regularity of Conditional Probabilities for Stochastic Processes

N. Krylov, 1973 .

Introduction to the Theory of Controlled Diffusion Processes

N. Krylov, 1980 .

On nondegenerate It\^o processes with moderated drift

N. Krylov, 2023, 2303.07252.

Some properties of solutions of Itô equations with drift in Ld+1

N. Krylov, 2022, Stochastic Processes and their Applications.

On strong solutions of It\^o's equations with $D\sigma $ and $b $ in Morrey classes containing $L_{d}$

N. Krylov, 2021, 2111.13795.

On Time Inhomogeneous Stochastic Itô Equations with Drift in LD+1

N. Krylov, N. Krylov, 2020, Ukrainian Mathematical Journal.