Nikolay Krylov

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Nikolay Krylov is affiliated with the following schools: University of Minnesota, Moscow State University

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According to Wikipedia, Nicolai Vladimirovich Krylov is a Russian mathematician specializing in partial differential equations, particularly stochastic partial differential equations and diffusion processes. Krylov studied at Lomonosov University, where he in 1966 under E. B. Dynkin attained a doctoral candidate title and in 1973 a Russian doctoral degree . He taught from 1966 to 1990 at the Lomonosov University and is since 1990 a professor at the University of Minnesota. At the beginning of his career he, in collaboration with Dynkin, worked on nonlinear stochastic control theory, making advances in the study of convex, nonlinear partial equations of 2nd order , which were examined with stochastic methods. This led to the Evans-Krylov theory, for which he received with Lawrence C. Evans in 2004 the Leroy P. Steele Prize of the American Mathematical Society . They proved the second order differentiability of the solutions of convex, completely nonlinear, second order elliptical partial differential equations and thus the existence of "classical solutions" . He was in 1978 at Helsinki and in 1986 at Berkeley an invited speaker for the ICM. He received the Humboldt Research Award in 2001. In 1993 he was elected a member of the American Academy of Arts and Sciences . He should not be confused with the mathematician Nikolay M. Krylov.

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Nikolay Krylov 's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lectures on Elliptic and Parabolic Equations in Holder Spaces (1996) (785)
A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS (1981) (466)
Stochastic evolution equations (1981) (448)
Strong solutions of stochastic equations with singular time dependent drift (2005) (437)
BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN (1984) (423)
Existence of strong solutions for Itô's stochastic equations via approximations (1996) (310)
Nonlinear Elliptic and Parabolic Equations of the Second Order Equations (1987) (253)
On stochastic equations with respect to semimartingales I. (1980) (250)
Introduction to the theory of diffusion processes (1994) (226)
Fokker-planck-kolmogorov Equations (2015) (218)
On the rate of convergence of finite-difference approximations for Bellmans equations with variable coefficients (2000) (207)
BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS (1983) (169)
ON THE CAUCHY PROBLEM FOR LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (1977) (146)
On stochastics equations with respect to semimartingales ii. itô formula in banach spaces (1982) (145)
Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation (1976) (136)
On the general notion of fully nonlinear second-order elliptic equations (1995) (121)
Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms (2007) (117)
On Lp-theory of stochastic partial di6erential equations in the whole space (1996) (115)
On the splitting-up method and stochastic partial differential equations (2003) (113)
An analytic approach to SPDE’s (1999) (106)
Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others (2007) (100)
The Rate of Convergence of Finite-Difference Approximations for Bellman Equations with Lipschitz Coefficients (2004) (98)
AW2n-theory of the Dirichlet problem for SPDEs in general smooth domains (1994) (95)
On Itô’s Stochastic Integral Equations (1969) (93)
A Sobolev space theory of SPDEs with constant coefficients on a half line (1999) (89)
Nonlinear analysis on Manifolds: Monge-Ampère equations (1987) (87)
Statistics and control of stochastic processes (1985) (86)
The Heat Equation in Lq((0, T), Lp)-Spaces with Weights (2001) (82)
On the Itô–Wentzell formula for distribution-valued processes and related topics (2011) (81)
ON THE SELECTION OF A MARKOV PROCESS FROM A SYSTEM OF PROCESSES AND THE CONSTRUCTION OF QUASI-DIFFUSION PROCESSES (1973) (80)
Itô’s formula for the Lp-norm of stochastic $${W^{1}_{p}}$$ -valued processes (2008) (78)
Parabolic Equations with Measurable Coefficients (2006) (77)
Some Properties of Traces for Stochastic and Deterministic Parabolic Weighted Sobolev Spaces (2001) (76)
On The Sobolev Space Theory of Parabolic and Elliptic Equations in C1 Domains (2004) (75)
Weighted sobolev spaces and laplace's equation and the heat equations in a half space (1999) (75)
ON CONDITIONAL DISTRIBUTIONS OF DIFFUSION PROCESSES (1978) (70)
A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space (1999) (70)
Approximating Value Functions for Controlled Degenerate Diffusion Processes by Using Piece-Wise Constant Policies (1999) (69)
On Kolmogorov’s equations for finite dimensional diffusions (1999) (67)
Control of a Solution of a Stochastic Integral Equation (1972) (66)
A relatively short proof of Itô’s formula for SPDEs and its applications (2012) (66)
On the Rate of Convergence of Splitting-up Approximations for SPDEs (2003) (64)
On weak uniqueness for some diffusions with discontinuous coefficients (2004) (60)
A Simple Proof of the Existence of a Solution of Itô’s Equation with Monotone Coefficients (1991) (55)
Characteristics of degenerating second-order parabolic Ito equations (1986) (50)
On explicit formulas for solutions of stochastic equations (1976) (48)
Regularity of Invariant Measures: The Case of Non-constant Diffusion Part (1996) (47)
Elliptic regularity and essential self-adjointness of Dirichlet operators on R (1996) (47)
Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations (2018) (46)
ON ESTIMATES OF THE MAXIMUM OF A SOLUTION OF A PARABOLIC EQUATION AND ESTIMATES OF THE DISTRIBUTION OF A SEMIMARTINGALE (1987) (44)
The Rate of Convergence of Finite-Difference Approximations for Parabolic Bellman Equations with Lipschitz Coefficients in Cylindrical Domains (2007) (43)
Fully nonlinear second order elliptic equations : recent development (1997) (43)
Elliptic regularity and essential self-adjointness of Dirichlet operators on $\mathbb {R}^n$ (1997) (42)
ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS (1984) (41)
On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients (2006) (40)
On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains (2012) (40)
Accelerated Finite Difference Schemes for Linear Stochastic Partial Differential Equations in the Whole Space (2010) (38)
On the solvability of degenerate stochastic partial differential equations in Sobolev spaces (2014) (36)
On averaging principle for diffusion processes with null-recurrent fast component (2001) (36)
An Accelerated Splitting-up Method for Parabolic Equations (2004) (35)
An Inequality in the Theory of Stochastic Integrals (1971) (34)
Elliptic equations for measures : Regularity and global bounds of densities (2006) (34)
Stochastic PDE's and Kolmogorov equations in infinite dimensions : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24- September 1, 1998 (1999) (34)
Stochastic partial differential equations with unbounded coefficients and applications. III (1990) (34)
SOME ESTIMATES OF THE PROBABILITY DENSITY OF A STOCHASTIC INTEGRAL (1974) (32)
Maximum principle for SPDEs and its applications (2006) (32)
Stochastic flows and stochastic differential equations (1994) (31)
Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces (2018) (30)
On SPDEs with Variable Coefficients in One Space Dimension (2004) (30)
SPDEs in $L_q( ( 0,\tau ] , L_p)$ Spaces (2000) (27)
On Control of the Solution of a Stochastic Integral Equation with Degeneration (1972) (27)
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with C1 and C2 coefficients (2005) (26)
Smoothness of the value function for a controlled diffusion process in a domain (1990) (25)
On diffusion approximation with discontinuous coefficients (2002) (25)
On stochastic equations with drift in Ld (2020) (25)
SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES (1980) (24)
On One-Point Weak Uniqueness for Elliptic Equations (1992) (23)
Extremal Properties of Solutions of Stochastic Equations (1985) (23)
A parabolic Littlewood-Paley inequality with applications to parabolic equations (1994) (23)
On Bellman's Equations with VMO Coefficients (2009) (22)
On Shige Peng’s central limit theorem (2018) (22)
On Time Inhomogeneous Stochastic Itô Equations with Drift in LD+1 (2020) (21)
On Factorizations of Smooth Nonnegative Matrix-Values Functions and on Smooth Functions with Values in Polyhedra (2007) (21)
Properties of monotone mappings (1982) (20)
On the Foundation of the Lp-Theory of Stochastic Partial Differential Equations (2005) (20)
Some $L_{p}$-estimates for elliptic and parabolic operators with measurable coefficients (2012) (20)
A priori estimates of smoothness of solutions to difference Bellman equations with linear and quasi-linear operators (2006) (20)
ON EQUATIONS OF MINIMAX TYPE IN THE THEORY OF ELLIPTIC AND PARABOLIC EQUATIONS IN THE PLANE (1970) (19)
On the dynamic programming principle for uniformly nondegenerate stochastic differential games in domains and the Isaacs equations (2012) (19)
ON THE MAXIMUM PRINCIPLE FOR NONLINEAR PARABOLIC AND ELLIPTIC EQUATIONS (1979) (19)
On a representation of fully nonlinear elliptic operators in terms of pure second order derivatives and its applications (2011) (19)
Second-order eliptic and parabolic equations with B (r2, V MO) coefficients (2008) (19)
Introduction to the Theory of Diffusion Processes (Translations of Mathematical Monographs Vol. 142) (1999) (19)
Itô stochastic integral (2002) (19)
On stochastic Itô processes with drift in Ld (2021) (18)
On SPDE's and superdiffusions (1997) (18)
ON CONTROLLED DIFFUSION PROCESSES WITH UNBOUNDED COEFFICIENTS (1982) (18)
Filtering and Prediction: A Primer (2007) (18)
On the existence of $W^{2}_{p}$ solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions (2016) (18)
On diffusion processes with drift in $$L_{d}$$ L d (2020) (17)
Some properties of weighted Sobolev spaces in $\mathbb {R}^d_+$ (1999) (17)
On Divergence Form SPDEs with VMO Coefficients (2008) (17)
Expansion of solutions of parameterized equations and acceleration of numerical methods (2006) (16)
A Simple Proof of a Result of A (2001) (16)
On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients (2010) (15)
On the existence of smooth solutions for fully nonlinear parabolic equations with measurable "coefficients" without convexity assumptions (2012) (15)
Accelerated finite difference schemes for second order degenerate elliptic and parabolic problems in the whole space (2009) (15)
On time-inhomogeneous controlled diffusion processes in domains (2005) (15)
The Calderón-Zygmund Theorem and Parabolic Equations in L P (R, C2+)-Spaces (2009) (14)
Filtering equations for partially observable diffusion processes with Lipschitz continuous coefficients (2009) (14)
Brownian Trajectory Is a Regular Lateral Boundary for the Heat Equation (2003) (14)
ON UNCONDITIONAL SOLVABILITY OF THE BELLMAN EQUATION WITH CONSTANT COEFFICIENTS IN CONVEX DOMAINS (1989) (14)
Mean value theorems for stochastic integrals (2001) (14)
Weak interior second order derivative estimates for degenerate nonlinear elliptic equations (1994) (13)
Hölder continuity and $L_p$ estimates for elliptic equations under general Hörmander's condition (1997) (13)
On the existence of smooth solutions for fully nonlinear elliptic equations with measurable (2012) (12)
On the estimation of parameters for linear stochastic differential equations (1999) (12)
On the dynamic programming principle for uniformly nondegenerate stochastic differential games in domains and the Isaacs equations (2012) (12)
ON CONTROL OF A DIFFUSION PROCESS UP TO THE TIME OF FIRST EXIT FROM A REGION (1982) (12)
Linear and fully nonlinear elliptic equations with Ld -drift (2020) (12)
Parabolic equations with VMO coefficients in spaces with mixed norms (2006) (12)
Hörmander's Theorem for Parabolic Equations with Coefficients Measurable in the Time Variable (2013) (11)
On the existence of $W^{1,2}_{p}$ solutions for fully nonlinear parabolic equations under either relaxed or no convexity assumptions (2017) (11)
ON UNIQUENESS OF THE SOLUTION OF BELLMAN'S EQUATION (1971) (11)
On the paper "All functions are locally s-harmonic up to a small error" by Dipierro, Savin, and Valdinoci (2018) (11)
Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey (2019) (11)
On C1+α regularity of solutions of Isaacs parabolic equations with VMO coefficients (2014) (11)
Diffusion on a plane with reflection. construction of the process (1969) (10)
An Ersatz Existence Theorem for Fully Nonlinear Parabolic Equations without Convexity Assumptions (2012) (10)
Elliptic equations with VMO a, b$\in L_{d}$, and c$\in L_{d/2}$ (2020) (10)
A BRIEF OVERVIEW OF THE Lp-THEORY OF SPDES (2008) (10)
BOUNDED INHOMOGENEOUS NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS IN THE PLANE (1970) (10)
An Example of a One-Dimensional Controlled Process (1976) (10)
Poisson Stochastic Process and Basic Schauder and Sobolev Estimates in the Theory of Parabolic Equations (2016) (9)
Addendum: On Itô’s Stochastic Integral Equations (1973) (9)
ON THE FIRST BOUNDARY VALUE PROBLEM FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS (1988) (9)
On stochastic partial differential equations with Unbounded coefficients (1992) (9)
Accelerated Numerical Schemes for PDEs and SPDEs (2011) (9)
Large deviations for occupation times of Markov processes with L2 semigroups (2007) (9)
The Wiener process (2002) (9)
Adapting Some Ideas from Stochastic Control Theory to Studying the Heat Equation in Closed Smooth Domains (2002) (9)
Higher order derivative estimates for finite-difference schemes (2008) (8)
H\"ormander's theorem for stochastic partial differential equations (2013) (8)
Interior first order derivative estimates for solutions of nonlinear degenerate elliptic equations with constant coefficients (1993) (8)
On a result of C. Mueller and E. Perkins (1997) (8)
One more square root law for Brownian motion and its application to SPDEs (2003) (8)
On regularity properties and approximations of value functions for stochastic differential games in domains (2012) (7)
Filtering partially observable diffusions up to the exit time from a domain (2011) (7)
First derivatives estimates for finite-difference schemes (2008) (7)
Hypoellipticity for filtering problems of partially observable diffusion processes (2013) (7)
Some Estimates in the Theory of Stochastic Integrals (1973) (6)
Probabilistic methods of investigating interior smoothness of harmonic functions associated with degenerate elliptic operators (2007) (6)
ON MOMENT ESTIMATES FOR QUASIDERIVATIVES OF SOLUTIONS OF STOCHASTIC EQUATIONS WITH RESPECT TO THE INITIAL DATA, AND THEIR APPLICATION (1989) (6)
On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces (2022) (6)
ON A CLASS OF NONLINEAR EQUATIONS IN A SPACE OF MEASURABLE FUNCTIONS (1969) (6)
On Parabolic Pdes and Spdes in Sobolev Spaces W P 2 without and with Weights (2008) (6)
The Bellman Equation (1980) (6)
On potentials of It\^o's processes with drift in $L_{d+1}$ (2021) (5)
Traditional proof of Bellman's equation for controlled diffusion processes (1981) (5)
On the It\^o-Wentzell formula for distribution-valued processes and related topics (2009) (5)
The Calderón-Zygmund theorem and parabolic equations in L P (\mathbb{R}, C^{2+\alpha })-spaces (2002) (5)
Stochastic Linear Controlled Systems with Quadratic Cost Revisited (2001) (5)
On Diffusion Processes with Drift in a Morrey Class Containing $$L_{d+2}$$ (2021) (5)
Differentiability of the invariant measures and transition probabilities of singular diffusions (2001) (5)
On stochastic It\^o processes with drift in $L_{d}$ (2020) (5)
ON THE FIRST QUASIDERIVATIVES OF SOLUTIONS OF ITÔ STOCHASTIC EQUATIONS (1993) (5)
A supermartingale characterization of sets of stochastic integrals and applications (2002) (5)
On passing to the limit in degenerate bellman equations. ii (1978) (5)
A supermartingale characterization of a set of stochastic integrals (1989) (5)
Interior estimates for second-order differences of solutions of finite-difference elliptic Bellman's equations (2013) (5)
To the theory of viscosity solutions for uniformly elliptic Isaacs equations (2014) (5)
On divergence form SPDEs with VMO coefficients in a half space (2008) (5)
Regularity and global bounds of densities of invariant measures of diffusion processes (2005) (5)
Barriers for derivatives of solutions of nonlinear elliptic equations on a surface in euclidean space (1994) (5)
On a Problem Suggested by A.D. Wentzell (1994) (4)
Some Properties of the Normal Image of Convex Functions (1978) (4)
Quasiderivatives and Interior Smoothness of Harmonic Functions Associated with Degenerate Diffusion Processes (2004) (4)
A martingale proof of the Khinchin iterated logarithm law for Wiener processes (1995) (4)
Aleksandrov’s estimates for elliptic equations with drift in a Morrey spaces containing 𝐿_{𝑑} (2021) (4)
Uniqueness for L p -viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms (2017) (4)
Accelerated finite difference schemes for stochastic partial differential equations in the whole space (2010) (4)
On Divergence form SPDEs with Growing Coefficients in W12 Spaces Without Weights (2009) (4)
On Acceleration of Approximation Methods (2005) (3)
On the limit passage in parabolic bellman equations (1979) (3)
Weighted sobolev spaces and the heat equation in the whole space (1998) (3)
Differentiability of invariant measures and transient probabilities of singular diffusions (2001) (3)
Passage to the Limit in Itô Stochastic Equations (1989) (3)
On the heat equation with drift in $L_{d+1}$ (2021) (3)
Traditional derivation of Bellman equation for general controlled stochastic processes (1981) (3)
Interior Estimates for the First-Order Differences for Finite-Difference Approximations for Elliptic Bellman’s Equations (2012) (3)
All functions are locally s-harmonic up to a small error (2019) (3)
On explicit formulas for solutions of evolutionary SPDE's (a kind of introduction to the theory) (1992) (3)
On diffusion processes with $$B({\mathbb {R}}^{2}, VMO)$$ coefficients and “good” Green’s functions of the corresponding operators (2019) (3)
Filtering and prediction (2007) (3)
Kalman-Bucy filter and SPDEs with growing lower-order coefficients in $W^{1}_{p}$ spaces without weights (2010) (3)
A few comments on a result of A. Novikov and Girsanov's theorem (2019) (3)
Some New Results in the Theory of SPDEs in Sobolev Spaces (2002) (3)
Weighted Aleksandrov estimates: PDE and stochastic versions (2018) (3)
Second-order elliptic and parabolic equations with $B(\mathbb R^{2}, VMO)$ coefficients (2008) (3)
On weak uniqueness for some di % usions with discontinuous coe & cients (2004) (2)
On the independence of the value function for stochastic differential games of the probability space (2014) (2)
On control of diffusion processes on a surface in euclidean space (1990) (2)
Uniquess of solutions to Fokker–Planck–Kolmogorov equations (2015) (2)
Optimal stopping of controlled diffusion process (1976) (2)
G-convergence of elliptic operators in nondivergence form (1985) (2)
On strong solutions of It\^o's equations with a$\,\in W^{1}_{d}$ and b$\,\in L_{d}$ (2020) (2)
On Divergence Form Second-order PDEs with Growing Coefficients in W 1 p Spaces without Weights (2009) (2)
Parabolic equations in the whole space (1996) (1)
Diffusion in a plane with reflection. The boundary problem (1969) (1)
Precise barriers in an oblique derivative problem (1973) (1)
Elliptic equations in non-smooth domains (1996) (1)
ON THE FUNDAMENTAL MATRIX SOLUTION FOR HIGHER ORDER PARABOLIC SYSTEMS (2014) (1)
Equations with VMO coefficients (2008) (1)
On the Interior Smoothness of Harmonic Functions for Degenerate Diffusion Processes (1991) (1)
On a result of Jessica Lin (2013) (1)
Cauchy problems with periodic controls (2006) (1)
Design of embedded electromechanical power hinge mini actuators for electric aircraft concept (2015) (1)
On $C^{1+\alpha}$ regularity of solutions of Isaacs parabolic equations with VMO coefficients (2012) (1)
A Priori Estimates in L P for Solutions of Nonlinear Elliptic and Parabolic Equations (1987) (1)
Parabolic equations in domains (1996) (1)
Approximating the value functions for stochastic differential games with the ones having bounded second derivatives (2014) (1)
Bellman's equation for uniformly nondegenerate stochastic processes (1980) (1)
IMA Special Minisymposium : Evolutionary Consequences of Invasions by Exotic Species April (0)
Second-order elliptic equations in smooth domains (1996) (0)
Nicolai Krylov Interview November 3, 1991 (1991) (0)
Global properties of densities (2015) (0)
$C^{1+\alpha}$-regularity of viscosity solutions of general nonlinear parabolic equations (2017) (0)
ON THE UNIQUENESS OF SUPPORTS OF ANALYTIC FUNCTIONALS (2017) (0)
General Properties of a Payoff Function (1980) (0)
On a result of C . Mueller (1997) (0)
Degenerate Nonlinear Equations in the Whole Space (1987) (0)
DIFFERENCE PROPERTIES OF FUNCTIONS OF SEVERAL VARIABLES (2016) (0)
Existence Theorems for Solutions of Nondegenerate Equations (1987) (0)
Weighted Parabolic Aleksandrov Estimates: PDE and Stochastic Versions (2020) (0)
Global parabolic regularity and upper bounds (2015) (0)
Infinitely divisible processes (2002) (0)
Filtering of discrete Markov chains (2007) (0)
Second-order elliptic equations in half spaces (1996) (0)
On di!usion approximation with discontinuous coe$cients (2002) (0)
On an energy equality in the theory of evolution equations (2016) (0)
Existence of solutions (2015) (0)
9th International Conference on Stochastic Analysis and its Applications (2018) (0)
Nonlinear Equations with Constant ‘Coefficients’ in the Whole Space (1987) (0)
Boundary-value problems for parabolic equations in half spaces (1996) (0)
3-2019 On the Adjoint Markov Policies in Stochastic Differential Games (2019) (0)
ON THE LIMIT DISTRIBUTION OF KOLMOGOROV-SMIRNOV STATISTICS FOR A COMPOSITE HYPOTHESIS (2016) (0)
On the solvability of degenerate stochastic partial differential equations in Sobolev spaces (2014) (0)
Unexpected Behavior of Nonautonomous Linear Dynamical Systems in Two Dimensions (2005) (0)
Optimal Control of Stochastic Integrals and (2018) (0)
A review of some new results in the theory of linear elliptic equations with drift in $$L_{d}$$ (2021) (0)
Laplace’s equation (1996) (0)
On the Adjoint Markov Policies in Stochastic Differential Games (2019) (0)
Prediction of stationary sequences (2007) (0)
Nicolai Krylov Interview undated (2010) (0)
Some tools from real analysis (2008) (0)
Workshop on deterministic and stochastic partial differential equations November 6-8 , 2015 Titles and Abstracts (2015) (0)
The infinite-dimensional case (2015) (0)
A-Priori Estimates in C2+α for Solutions of Nonlinear Equations (1987) (0)
Introduction to Stochastic Calculus (1998) (0)
Two Sufficient Conditions for the Regularity of Lateral Boundary for the Heat Equation (2002) (0)
A note on quasi-convex functions (2017) (0)
FIRST DERIVATIVES ESTIMATES FOR (2008) (0)
On singularity as a function of time of a conditional distribution of an exit time (2013) (0)
SPDEs in divergence form with VMO coefficients and filtering theory of partially observable diffusion processes with Lipschitz coefficients (2009) (0)
Weighted Parabolic Aleksandrov Estimates: PDE and Stochastic Versions (2019) (0)
Solvability of elliptic equations with constant coefficients in the Hölder spaces (1996) (0)
Measurement of Diffusion Coefficient of Liquids by Using an Asymmetric Liquid-Core Cylindrical Lens: Observing the Diffusion Process Directly (2017) (0)
Parabolic Harnack inequalities and lower bounds (2015) (0)
About Pogorelov's Method and Aleksandrov's Estimates (2020) (0)
Parabolic Fokker–Planck–Kolmogorov equations (2015) (0)
PARADOXES OF LIMIT PASSAGE IN SOLUTIONS OF BOUNDARY VALUE PROBLEMS INVOLVING THE APPROXIMATION OF SMOOTH DOMAINS BY POLYGONAL DOMAINS (2016) (0)
Wiener process and continuous time filtering (2007) (0)
A Priori Estimates in Cα for Solutions of Linear and Nonlinear Equations (1987) (0)
Some properties of value functions for controlled diffusion processes (1986) (0)
RESTORATION OF WELL-POSEDNESS OF INFINITE-DIMENSIONAL SINGULAR ODE ’ S VIA NOISE (2019) (0)
Filtering of continuous-space Markov chains (2007) (0)
Degenerate Nonlinear Equations in a Domain (1987) (0)

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