R. Mikulevíčius

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All published works
Action Title Year Authors
+ PDF Chat Convergence of Weak Euler Approximation for Nondegenerate Stochastic Differential Equations Driven by Point and Martingale Measures 2023 R. Mikulevíčius
Ch. Zhang
+ Intrusive and Non-Intrusive Polynomial Chaos Approximations for a Two-Dimensional Steady State Navier-Stokes System with Random Forcing 2021 Sergey V. Lototsky
R. Mikulevíčius
Boris L. Rozovsky
+ PDF Chat On the Cauchy problem for stochastic integro-differential equations with radially O-regularly varying Lévy measure 2020 R. Mikulevíčius
C. Phonsom
+ PDF Chat On the Cauchy Problem for Nondegenerate Parabolic Integro-Differential Equations in the Scale of Generalized Hölder Spaces 2019 R. Mikulevíčius
Fanhui Xu
+ On the cauchy problem for stochastic integro-Differential equations in the scale spaces of generalized smoothness 2019 R. Mikulevíčius
C. Phonsom
+ On some cadlaguity moment estimates of stochastic jump processes 2019 R. Mikulevíčius
Fanhui Xu
+ On the Cauchy problem for stochastic integro-differential equations with radially O-regularly varying Levy measure 2019 R. Mikulevíčius
C. Phonsom
+ On some càdlàguity moment estimates of stochastic jump processes 2019 R. Mikulevíčius
Fanhui Xu
+ PDF Chat On the Cauchy Problem for Integro-Differential Equations in the Scale of Spaces of Generalized Smoothness 2018 R. Mikulevíčius
C. Phonsom
+ On the Cauchy problem for stochastic integrodifferential parabolic equations in the scale of Lp-spaces of generalized smoothness 2018 R. Mikulevíčius
C. Phonsom
+ On the Cauchy problem for parabolic integro-differential equations in generalized Hölder spaces 2018 R. Mikulevíčius
Fanhui Xu
+ On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces 2018 R. Mikulevíčius
Fanhui Xu
+ PDF Chat On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes 2017 R. Mikulevíčius
Fanhui Xu
+ On $$L^{p}$$ L p -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space 2017 R. Mikulevíčius
C. Phonsom
+ On the Cauchy problem for integro-differential equations in the scale of spaces of generalized smoothness 2017 R. Mikulevíčius
C. Phonsom
+ PDF Chat On classical solutions of linear stochastic integro-differential equations 2016 James-Michael Leahy
R. Mikulevíčius
+ On Lp -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space 2016 R. Mikulevíčius
C. Phonsom
+ On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes 2016 R. Mikulevíčius
Fanhui Xu
+ PDF Chat On distribution free Skorokhod–Malliavin calculus 2015 R. Mikulevíčius
B. L. Rozovskiĭ
+ PDF Chat On some properties of space inverses of stochastic flows 2015 James-Michael Leahy
R. Mikulevíčius
+ On degenerate linear stochastic evolution equations driven by jump processes 2015 James-Michael Leahy
R. Mikulevíčius
+ Weak Euler Approximation for Itô Diffusion and Jump Processes 2015 R. Mikulevíčius
Ch. Zhang
+ On Some Properties of Space Inverses of Stochastic Flows 2014 James-Michael Leahy
R. Mikulevíčius
+ On Degenerate Linear Stochastic Evolution Equations Driven by Jump Processes 2014 James-Michael Leahy
R. Mikulevíčius
+ On Classical Solutions of Linear Stochastic Integro-Differential Equations 2014 James-Michael Leahy
R. Mikulevíčius
+ Convergence of Weak Euler Scheme for Nondegenerate Levy-Driven Stochastic Differential Equations 2014 R. Mikulevíčius
Ch. Zhang
+ On distribution free Skorokhod-Malliavin calculus 2014 R. Mikulevíčius
B. L. Rozovskiĭ
+ On Classical Solutions of Linear Stochastic Integro-Differential Equations 2014 James-Michael Leahy
R. Mikulevíčius
+ On Degenerate Linear Stochastic Evolution Equations Driven by Jump Processes 2014 James-Michael Leahy
R. Mikulevíčius
+ On Some Properties of Space Inverses of Stochastic Flows 2014 James-Michael Leahy
R. Mikulevíčius
+ On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem 2013 R. Mikulevíčius
H. Pragarauskas
+ PDF Chat On the Cauchy Problem for Integro-differential Operators in Hölder Classes and the Uniqueness of the Martingale Problem 2013 R. Mikulevíčius
H. Pragarauskas
+ PDF Chat On $$L_{p}$$ - theory for stochastic parabolic integro-differential equations 2013 R. Mikulevíčius
H. Pragarauskas
+ On the rate of convergence of simple and jump-adapted weak Euler schemes for Lévy driven SDEs 2012 R. Mikulevíčius
+ PDF Chat On $L_{p}$-Estimates of Some Singular Integrals Related to Jump Processes 2012 R. Mikulevíčius
H. Pragarauskas
+ On the rate of convergence of weak Euler scheme for Levy driven SDEs 2011 R. Mikulevíčius
+ PDF Chat On unbiased stochastic Navier–Stokes equations 2011 R. Mikulevíčius
B. L. Rozovskiĭ
+ On the rate of convergence of weak Euler approximation for nondegenerate SDEs driven by Lévy processes 2011 R. Mikulevíčius
Ch. Zhang
+ Model Problem for Integro-Differential Zakai Equation with Discontinuous Observation Processes 2011 R. Mikulevíčius
H. Pragarauskas
+ On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem 2011 R. Mikulevíčius
H. Pragarauskas
+ On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem 2011 R. Mikulevíčius
H. Pragarauskas
+ PDF Chat On L_p- theory for stochastic parabolic integro-differential equations 2010 R. Mikulevíčius
H. Pragarauskas
+ On quantized stochastic Navier-Stokes equations 2010 R. Mikulevíčius
B. L. Rozovskiĭ
+ On the rate of convergence of weak Euler approximation for non-degenerate jump and diffusion pocesses 2010 R. Mikulevíčius
C. Zhang
+ Model problem for integro-differential Zakai equation with discontinuous observation processes in Hölder spaces 2010 R. Mikulevíčius
H. Pragarauskas
+ On the Rate of Convergence of Weak Euler Approximation for Nondegenerate Itô Diffusion and Jump Processes 2010 R. Mikulevíčius
Ch. Zhang
+ On the rate of convergence of weak Euler approximation for non-degenerate SDEs 2010 R. Mikulevíčius
C. Zhang
+ On Hölder solutions of the integro-differential Zakai equation 2009 R. Mikulevíčius
H. Pragarauskas
+ On Strong $H_{2}^{1}$-Solutions of Stochastic Navier–Stokes Equation in a Bounded Domain 2009 R. Mikulevíčius
+ On the Cauchy-Dirichlet Problem in the Half Space for Parabolic SPDEs in Weighted Hoelder Spaces 2007 R. Mikulevíčius
H. Pragarauskas
N. Sonnadara
+ On Cauchy-Dirichlet Problem for Linear Integro-Differential Equation in Weighted Sobolev Spaces 2007 R. Mikulevíčius
H. Pragarauskas
+ Stochastic evolution equations and densities of the conditional distributions 2006 B. Grigelionis
R. Mikulevíčius
+ On semimartingales with values in Euclidean halfspaces 2005 B. Grigelionis
R. Mikulevíčius
+ On weak convergence of semimartingales and point processes 2005 B. Grigelionis
R. Mikulevíčius
+ Global L2-solutions of stochastic Navier–Stokes equations 2005 R. Mikulevíčius
B. L. Rozovskiĭ
+ PDF Chat On Cauchy-Dirichlet Problem in Half-Space for Linear Integro-Differential Equations in Weighted Hoelder Spaces 2005 R. Mikulevíčius
H. Pragarauskas
+ Stochastic Navier--Stokes Equations for Turbulent Flows 2004 R. Mikulevíčius
B. L. Rozovskiĭ
+ On Cauchy–Dirichlet problem in half-space for parabolic SPDEs in weighted Hölder spaces 2003 R. Mikulevíčius
H. Pragarauskas
+ Nonlinear filtering revisited: a spectral approach. II 2002 Sergey V. Lototsky
R. Mikulevíčius
B. L. Rozovskiĭ
+ On Martingale Problem Solutions for Stochastic Navier-Stokes Equation 2002 R. Mikulevíčius
B. L. Rozovskiĭ
+ On the Cauchy Problem for Stochastic Stokes Equations 2002 R. Mikulevíčius
+ PDF Chat A Note on Krylov's $L_p$-Theory for Systems of SPDEs 2001 R. Mikulevíčius
B. L. Rozovskiĭ
+ On Equations of Stochastic Fluid Mechanics 2001 R. Mikulevíčius
B. L. Rozovskiĭ
+ Stochastic Navier-Stokes Equations. Propagation of Chaos and Statistical Moments 2001 R. Mikulevíčius
B. L. Rozovskiĭ
+ Fourier--Hermite Expansions for Nonlinear Filtering 2000 R. Mikulevíčius
B. L. Rozovskiĭ
+ PDF Chat On the Cauchy problem for parabolic SPDEs in Hölder classes 2000 R. Mikulevíčius
+ PDF Chat On Stochastic Euler equation in $\mathbb{R}^d$ 2000 R. Mikulevíčius
Gintaras Valiukevicius
+ Martingale problems for stochastic PDE’s 1999 R. Mikulevíčius
B. L. Rozovskiĭ
+ On stochastic Euler equations 1998 R. Mikulevíčius
Gintaras Valiukevicius
+ Linear Parabolic Stochastic PDE and Wiener Chaos 1998 R. Mikulevíčius
B. L. Rozovskiĭ
+ PDF Chat Normalized stochastic integrals in topological vector spaces 1998 R. Mikulevíčius
B. L. Rozovskiĭ
+ Nonlinear potentials of the cauchy-dirichlet problem for the integrodifferential Bellman equation 1996 R. Mikulevíčius
H. Pragarauskas
+ On classical solutions of boundary value problems for certain nonlinear integro-differential equations 1994 R. Mikulevíčius
H. Pragarauskas
+ Uniqueness and absolute continuity of weak solutions for parabolic SPDE's 1994 R. Mikulevíčius
B. L. Rozovskiĭ
+ On the uniqueness of solution to a martingale problem associated with a degenerate Lévy's operator 1993 R. Mikulevíčius
H. Pragarauskas
+ On the martingale problem associated with nondegenerate Lévy operators 1992 R. Mikulevíčius
H. Pragarauskas
+ On the cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces 1992 R. Mikulevíčius
H. Pragarauskas
+ On the uniqueness of a solution to the Bellman equation in Sobolev's classes 1991 R. Mikulevíčius
H. Pragarauskas
+ Rate of Convergence of the Euler Approximation for Diffusion Processes 1991 R. Mikulevíčius
Eckhard Platen
+ ON THE MARTINGALE PROBLEM ASSOCIATED WITH INTEGRO-DIFFERENTIAL OPERATORS 1990 R. Mikulevíčius
H. Pragarauskas
+ Weak convergence of semimartingales 1990 R. Mikulevíčius
+ Necessary and sufficient conditions for the convergence to nonquasicontinuous semimartingales 1990 Kęstutis Kubilius
R. Mikulevíčius
+ On Hölder continuity of solutions of certain integro-differential equations 1988 R. Mikulevíčius
H. Pragarauskas
+ Topology in the Skorokhod space and the existence of solutions of the martingale problem 1985 R. Mikulevíčius
+ Weak convergence of measures 1985 R. Mikulevíčius
+ Necessary and sufficient conditions for convergence of semimartingales and point processes. II 1984 Kęstutis Kubilius
R. Mikulevíčius
+ Invariance principles in mathematical statistics 1984 B. Grigelionis
R. Mikulevíčius
+ Necessary and sufficient conditions for convergence of semimartingales and point processes. I 1984 Kęstutis Kubilius
R. Mikulevíčius
+ Properties of solutions of stochastic differential equations 1983 R. Mikulevíčius
+ On necessary and sufficient conditions for the convergence of semimartingales 1983 K. Kubilius
R. Mikulevíčius
+ On contiguity and weak convergence of probability measures 1983 B. Grigelionis
R. Mikulevíčius
+ On weak convergence to random processes with boundary conditions 1982 B. Grigelionis
R. Mikulevíčius
+ Weak convergence of stochastic point processes 1981 B. Grigelionis
R. Mikulevíčius
+ Weak convergence of semimartingales 1981 B. Grigelionis
R. Mikulevíčius
+ Existence and uniqueness of solutions of the martingale problem on branched manifolds 1981 R. Mikulevíčius
+ Existence of solutions of the martingale problem on a manifold with boundary 1980 R. Mikulevíčius
+ Existence and uniqueness of solutions of the martingale problem on a manifold with boundary 1980 R. Mikulevíčius
+ Semimartingales with values in R + m 1979 B. Grigelionis
R. Mikulevíčius
+ On uniqueness of solutions of the martingale problem 1978 R. Mikulevíčius
+ The existence of solutions of a martingale problem 1977 R. Mikulevíčius
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ On the martingale problem for generators of stable processes with perturbations 1984 Takashi Komatsu
14
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
13
+ On the cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces 1992 R. Mikulevíčius
H. Pragarauskas
12
+ Singular Integrals and Differentiability Properties of Functions. 1971 Elias M. Stein
11
+ ON THE CAUCHY PROBLEM FOR LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 1977 Н. В. Крылов
B. L. Rozovskiĭ
11
+ On Hölder solutions of the integro-differential Zakai equation 2009 R. Mikulevíčius
H. Pragarauskas
10
+ Properties of solutions of stochastic differential equations 1983 R. Mikulevíčius
10
+ PDF Chat On the optimal filtering of diffusion processes 1969 Moshe Zakai
9
+ PDF Chat Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces 2001 Walter Farkas
Niels Jacob
René L. Schilling
8
+ PDF Chat On the Cauchy problem for parabolic SPDEs in Hölder classes 2000 R. Mikulevíčius
8
+ PDF Chat \( L^{p} \)-maximal regularity of nonlocal parabolic equations and applications 2012 Xicheng Zhang
8
+ The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels 2009 Helmut Abels
Moritz Kaßmann
8
+ Martingale problems for stochastic PDE’s 1999 R. Mikulevíčius
B. L. Rozovskiĭ
7
+ PDF Chat Diffusion processes associated with L�vy generators 1975 Daniel W. Stroock
7
+ On the martingale problem associated with nondegenerate Lévy operators 1992 R. Mikulevíčius
H. Pragarauskas
7
+ On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math>-estimates for a class of non-local elliptic equations 2011 Hongjie Dong
Doyoon Kim
7
+ PDF Chat The Euler scheme for Lévy driven stochastic differential equations 1997 Philip Protter
Denis Talay
7
+ An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels 2015 Ildoo Kim
Kyeong-Hun Kim
7
+ The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals 1947 R. H. Cameron
W. T. Martin
7
+ PDF Chat Characterisations of function spaces of generalised smoothness 2004 Walter Farkas
Hans‐Gerd Leopold
7
+ Rate of Convergence of the Euler Approximation for Diffusion Processes 1991 Remigius Mikulevičius
Eckhard Plate
6
+ Efficient numerical schemes for the approximation of expectations of functionals of the solution of a S.D.E., and applications 2005 Denis Talay
6
+ ON STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 1975 B. L. Rozovskiĭ
6
+ Global L2-solutions of stochastic Navier–Stokes equations 2005 R. Mikulevíčius
B. L. Rozovskiĭ
6
+ Theory of Function Spaces 1983 Hans Triebel
6
+ Theory of function spaces 1983 Hans Triebel
6
+ On $L_p $-Theory of Stochastic Partial Differential Equations in the Whole Space 1996 Н. В. Крылов
6
+ Stochastic Equations in Infinite Dimensions 1992 Guiseppe Da Prato
Jerzy Zabczyk
6
+ On stochastic equations with respect to semimartingales I.<sup>†</sup> 1980 István Gyöngy
Н. В. Крылов
5
+ PDF Chat Regularity theory for fully nonlinear integro‐differential equations 2009 Luis Caffarelli
Luís Silvestre
5
+ Stochastic Navier--Stokes Equations for Turbulent Flows 2004 R. Mikulevíčius
B. L. Rozovskiĭ
5
+ <i>Lectures on Cauchy's Problem in Linear Partial Differential Equations</i> 1953 Jacques Hadamard
Philip Μ. Morse
5
+ On stochastics equations with respect to semimartingales ii. itô formula in banach spaces 1982 István Gyöngy
Н. В. Крылов
5
+ Équations aux dérivées partielles stochastiques non linéaires monotones : étude de solutions fortes de type Ito 1975 E. Pardoux
5
+ Markov processes associated with certain integro-differential operators 1973 Takashi Komatsu
5
+ Global uniform boundary Harnack principle with explicit decay rate and its application 2013 Panki Kim
Renming Song
Zoran Vondraček
5
+ PDF Chat Global inversion of functions: an introduction 1994 Giuseppe De Marco
Gianluca Gorni
Gaetano Zampieri
5
+ Spaces of Functions of Generalized Smoothness 1987 G A Kaljabin
П. И. Лизоркин
5
+ Theory of Function Spaces II 1992 Hans Triebel
5
+ Linear and Quasilinear Equations of Parabolic Type 1969 O. A. Ladyzhenskai︠a︡
5
+ An introduction to stochastic partial differential equations 2006 John B. Walsh
5
+ An introduction to numerical methods for stochastic differential equations 1999 Eckhard Platen
5
+ PDF Chat Stochastic evolution equations 1981 Н. В. Крылов
B. L. Rozovskiĭ
5
+ Stochastic evolution equations and densities of the conditional distributions 2006 B. Grigelionis
R. Mikulevíčius
5
+ Linear Parabolic Stochastic PDE and Wiener Chaos 1998 R. Mikulevíčius
B. L. Rozovskiĭ
4
+ Reduced stochastic equations of the nonlinear filtration of random processes 1977 B. Grigelionis
4
+ Groups of Diffeomorphisms and the Motion of an Incompressible Fluid 1970 David G. Ebin
Jerrold E. Marsden
4
+ Equations stochastiques du type Navier-Stokes 1973 Alain Bensoussan
Roger Témam
4
+ PDF Chat On weak convergence to Brownian motion 1980 Inge S. Helland
4
+ Linear and Quasi-linear Equations of Parabolic Type 1968 O. Ladyženskaja
V. A. Solonnikov
N. Ural’ceva
4