Tusheng Zhang

发表

Stochastic Partial Differential Equations Driven by Lévy Processes

B. Øksendal, H. Holden, J. Ubøe, 2010 .

STATISTICAL METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS. Edited by, Mathieu Kessler, Alexander Lindner and Michael Sørensen. Publishers CRC Press, Taylor & Francis Group. London, ISBN 978‐1‐4398‐4940‐8. 483 pages.

Tusheng Zhang, 2013 .

Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields

B. Øksendal, Tusheng Zhang, F. Proske, 2005 .

On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary

Tusheng Zhang, 1994 .

Perturbed Skorohod equations and perturbed reflected diffusion processes

Tusheng Zhang, R. Doney, 2005 .

THE ITÔ-VENTZELL FORMULA AND FORWARD STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY POISSON RANDOM MEASURES

B. Øksendal, Tusheng Zhang, 2007 .

Stochastic Calculus for Fractional Brownian Motion and Applications

B. Øksendal, Tusheng Zhang, Yaozhong Hu, 2008 .

Large deviations and support theorem for diffusion processes via rough paths

M. Ledoux, Tusheng Zhang, Z. Qian, 2002 .

Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations

B. Øksendal, Tusheng Zhang, A. Sulem, 2011, Advances in Applied Probability.

NON-ROBUSTNESS OF SOME IMPULSE CONTROL PROBLEMS WITH RESPECT TO INTERVENTION COSTS

B. Øksendal, J. Ubøe, Tusheng Zhang, 2002 .

The Burgers equation with a noisy force and the stochastic heat equation

Bernt Øksendal, Helge Holden, Jan Ubøe, 1994 .

Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles

Michael Röckner, Tusheng Zhang, Tusheng Zhang, 2007 .

A variational approach to the construction and Malliavin differentiability of strong solutions of SDE’s

Thilo Meyer-Brandis, Frank Proske, Tusheng Zhang, 2013 .

Global solutions to reaction-diffusion equations with super-linear drift and multiplicative noise

Robert C. Dalang, Tusheng Zhang, D. Khoshnevisan, 2017, 1701.04660.

A stochastic HJB equation for optimal control of forward-backward SDEs

Tusheng Zhang, A. Sulem, B. Oksendal, 2013, 1312.1472.

Backward Doubly SDEs and Semilinear Stochastic PDEs in a convex domain

Tusheng Zhang, Tusheng Zhang, Matoussi Anis, 2014, 1405.5822.

Elliptic stochastic partial differential equations with two reflecting walls

Tusheng Zhang, Wen Yue, 2014, 1403.5834.

Hölder Continuity of Solutions of SPDEs with Reflection

Robert C. Dalang, Tusheng Zhang, 2013 .

Stochastic generalized porous media equations with reflection

Tusheng Zhang, Feng-Yu Wang, M. Rockner, 2013, 1304.0818.

WHITE NOISE DRIVEN SPDEs WITH TWO REFLECTING WALLS

Tusheng Zhang, Juan Yang, 2011 .

Quadratic Transportation Cost Inequalities Under Uniform Distance For Stochastic Reaction Diffusion Equations Driven by Multiplicative Space-Time White Noise

Tusheng Zhang, Shijie Shang, 2019, 1904.13162.

Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

Tusheng Zhang, Z. Dong, Rangrang Zhang, 2017, Potential Analysis.

SMALL TIME ASYMPTOTICS FOR FLEMING–VIOT PROCESSES

Tusheng Zhang, Kai-Nan Xiang, 2005 .

THE STOCHASTIC WICK-TYPE BURGERS EQUATION

B. Øksendal, H. Holden, J. Ubøe, 1995 .

Stochastic partial differential equations driven by multiparameter fractional white noise

B. Øksendal, Tusheng Zhang, Yaozhong Hu, 1999 .

Well-posedness of stochastic partial differential equations with fully local monotone coefficients

Tusheng Zhang, M. Rockner, Shijie Shang, 2022, 2206.01107.

Stochastic Analysis and Applications

B. Øksendal, Tusheng Zhang, T. Lindstrøm, 2000 .

Well-posedness of stochastic partial differential equations with fully local monotone coefficients

Tusheng Zhang, M. Rockner, Shijie Shang, 2022, 2206.01107.

The Burgers equation with affine linear noise: Dynamics and stability

Tusheng Zhang, S. Mohammed, 2012 .

Irreducibility of SPDEs driven by pure jump noise

Tusheng Zhang, Jian Wang, Hao Yang, 2022, 2207.11488.

Anticipating Reflected Stochastic Differential Equations

Tusheng Zhang, Zongxia Liang, 2006, math/0612294.

Stochastic differential equations with non-Lipschitz coefficients : II . Dependence with respect to initial values

Tusheng Zhang, S. Fang, 2021 .

Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs

B. Øksendal, Tusheng Zhang, A. Sulem, 2011 .

Irreducibility of SPDEs driven by pure jump noise

Tusheng Zhang, Hao Yang, Jianliang Zhai, 2022, 2207.11488.

Global flows for stochastic differential equations without global Lipschitz conditions

P. Imkeller, Tusheng Zhang, S. Fang, 2007, math/0703791.

Well-posedness of stochastic partial differential equations with fully local monotone coefficients

Tusheng Zhang, M. Rockner, Shijie Shang, 2022, 2206.01107.

Convergence of Symmetric Diffusions on Wiener Spaces

Tusheng Zhang, A. Posilicano, 2003, math/0309096.

AN EQUATION MODELLING TRANSPORT OF A SUBSTANCE IN A STOCHASTIC MEDIUM

B. Øksendal, H. Holden, J. Ubøe, 1995 .

THE WICK PRODUCT

B. Øksendal, H. Holden, J. Ubøe, 1992 .

Stochastic fractional potential theory.

B. Øksendal, Tusheng Zhang, Yaozhong Hu, 2001 .

On Backward Stochastic Partial Differential Equations.

B. Øksendal, Tusheng Zhang, 2001 .

Accessibility of SPDEs driven by pure jump noise and its applications

Tusheng Zhang, Hao Yang, Jianliang Zhai, 2022, 2209.04875.

On general perturbations of symmetric Markov processes

Tusheng Zhang, Zhen-Qing Chen, P. Fitzsimmons, 2009 .

Quasilinear parabolic stochastic partial differential equations: existence, uniqueness

Tusheng Zhang, M. Hofmanová, 2015, 1501.00548.

The stable manifold theorem for semi-linear stochastic evolution equations and stochastic partial differential equations. I: The stochastic semiflow

Tusheng Zhang, S. Mohammed, Huaizhong Zhao, 2005, math/0503320.

Reﬂection of Stochastic Evolution Equations in Inﬁnite Dimensional Domains

Tusheng Zhang, Z. Brzeźniak, 2022 .

Large deviations of stochastic heat equations with logarithmic nonlinearity

Tusheng Zhang, Shijie Shang, Tianyi Pan, 2022, 2207.02385.

Large Deviation Principles of Obstacle Problems for Quasilinear Stochastic PDEs

Tusheng Zhang, A. Matoussi, W. Sabbagh, 2019, Applied Mathematics & Optimization.

Stochastic boundary value problems: a white noise functional approach

B. Øksendal, H. Holden, J. Ubøe, 1993 .

A variational approach to the construction and Malliavin differentiability of strong solutions of SDE’s

Tusheng Zhang, F. Proske, Olivier Menoukeu-Pamen, 2013, Mathematische Annalen.

Strong Convergence of Wong-Zakai Approximations of Reflected SDEs in a Multidimensional General Domain

Tusheng Zhang, 2014, Potential Analysis.

Absolute Continuity of the Laws of Perturbed Diffusion Processes and Perturbed Reflected Diffusion Processes

Tusheng Zhang, Wen Yue, 2013, Journal of Theoretical Probability.

The stable manifold theorum for semilinear stochastic evolution equations and stochastic partial differential equations. II: Existence of stable and unstable manifolds.

Tusheng Zhang, S. Mohammed, Huaizhong Zhao, 2005, math/0503321.

The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Dif

Tusheng Zhang, S. Mohammed, Huaizhong Zhao, 2008 .

II: EXISTENCE OF STABLE AND UNSTABLE MANIFOLDS

Tusheng Zhang, S. Mohammed, Huaizhong Zhao, 2005 .

General Fractional Multiparameter White Noise Theory and Stochastic Partial Differential Equations

B. Øksendal, Tusheng Zhang, Yaozhong Hu, 2005 .

Probabilistic approach to the Neumann problem

Tusheng Zhang, 1990 .

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

Bernt Øksendal, Helge Holden, Jan Ubøe, 1996 .

Strong existence and uniqueness of solutions of SDEs with time dependent Kato class coefficients

Tusheng Zhang, Saisai Yang, 2020, 2010.11467.

Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise

Tusheng Zhang, Jianliang Zhai, Shijie Shang, 2019, Journal of Mathematical Analysis and Applications.

Strong solutions for a stochastic model of 2-D second grade fluids driven by Lévy noise

Tusheng Zhang, Jianliang Zhai, Shijie Shang, 2017, 1701.00314.

Exponential mixing for stochastic model of two-dimensional second grade fluids

Tusheng Zhang, Jianliang Zhai, Ran Wang, 2015, 1505.03940.

THE STOCHASTIC VOLTERRA EQUATION

Bernt Øksendal, Tusheng Zhang, B. Øksendal, 1993 .

Lattice Approximations of Reflected Stochastic Partial Differential Equations Driven by Space-Time White Noise

Tusheng Zhang, 2015, 1510.00611.

Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps

Tusheng Zhang, Wei Liu, Jianliang Zhai, 2020, Potential Analysis.

Large Deviation Principles of Obstacle Problems for Quasilinear Stochastic PDEs

Tusheng Zhang, A. Matoussi, W. Sabbagh, 2017, Applied Mathematics & Optimization.

2D stochastic Chemotaxis-Navier-Stokes system

Tusheng Zhang, Jianliang Zhai, 2017, Journal de Mathématiques Pures et Appliquées.

Optimal control with partial information for stochastic Volterra equations

Bernt Øksendal, Tusheng Zhang, B. Øksendal, 2010 .

Large deviations of reflected weakly interacting particle systems

Tusheng Zhang, Rong Wei, Ping Cheng, 2023, 2304.00706.

Approximations of stochastic Navier–Stokes equations

Tusheng Zhang, Shijie Shang, 2017, Stochastic Processes and their Applications.

Moderate Deviations for Stochastic Models of Two-Dimensional Second-Grade Fluids Driven by Lévy Noise

Tusheng Zhang, Jianliang Zhai, W. Zheng, 2017, Communications in Mathematics and Statistics.

Moderate Deviations for Stochastic Models of Two-Dimensional Second-Grade Fluids Driven by Lévy Noise

Tusheng Zhang, Jianliang Zhai, W. Zheng, 2016, Communications in Mathematics and Statistics.

A Moderate Deviation Principle for 2-D Stochastic Navier-Stokes Equations Driven by Multiplicative L\'evy Noises

Tusheng Zhang, J. Xiong, Z. Dong, 2015 .

A moderate deviation principle for 2-D stochastic Navier-Stokes equations

Tusheng Zhang, J. Xiong, Z. Dong, 2015, 1505.04671.

Absolute Continuity of the Laws of Perturbed Diffusion Processes and Perturbed Reflected Diffusion Processes

Tusheng Zhang, Wen Yue, 2013, 1305.0713.

Large Deviations for SPDEs of Jump Type

Tusheng Zhang, Jianliang Zhai, Xuewei Yang, 2012, 1211.0466.

Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients

Feng-Yu Wang, Tusheng Zhang, Tusheng Zhang, 2010 .

Invariant measures for stochastic evolution equations of pure jump type

Tusheng Zhang, Z. Dong, Tiange Xu, 2009 .

Large Deviations for Stochastic Models of Two-Dimensional Second Grade Fluids

Tusheng Zhang, Jianliang Zhai, 2016, Applied Mathematics & Optimization.

Large Deviations for Stochastic Models of Two-Dimensional Second Grade Fluids

Tusheng Zhang, Jianliang Zhai, 2015, 1506.01109.

Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations

Tusheng Zhang, M. Röckner, Xicheng Zhang, 2010 .

Moderate Deviations for Stochastic Reaction-Diffusion Equations with Multiplicative Noise

Tusheng Zhang, Ran Wang, 2015 .

Large deviation principles for first-order scalar conservation laws with stochastic forcing

Tusheng Zhang, Jiang-Lun Wu, Z. Dong, 2018, The Annals of Applied Probability.

Approximations of stochastic partial differential equations

Giulia Di Nunno, Tusheng Zhang, Tusheng Zhang, 2014, 1401.7794.

Large deviations for 2_D stochastic Navier-Stokes equations driven by multiplicative Levy noises

Tusheng Zhang, Jianliang Zhai, 2015 .

Large deviation principles for 2-D stochastic Navier–Stokes equations driven by Lévy processes

Tusheng Zhang, Tiange Xu, 2009 .

A study of a class of stochastic differential equations with non-Lipschitzian coefficients

Tusheng Zhang, Shizan Fang, Tusheng Zhang, 2005 .

Small time asymptotics for Brownian motion with singular drift

Tusheng Zhang, Zhen-Qing Chen, S. Fang, 2018, Proceedings of the American Mathematical Society.

On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations

Tusheng Zhang, Tiange Xu, 2009 .

Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles

Tusheng Zhang, M. Röckner, 2012 .

A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients

Tusheng Zhang, Zhen-Qing Chen, 2014 .

Characterizations of White Noise Test Function Space (S)

Tusheng Zhang, 1991 .

BACKWARD SDEs AND SOBOLEV SOLUTIONS FOR SEMILINEAR PARABOLIC PDEs WITH SINGULAR COEFFICIENTS

Tusheng Zhang, Qikang Ran, 2011 .

Anticipating stochastic differential systems with memory

Tusheng Zhang, S. Mohammed, 2009 .

Anticipating Stochastic Difierential Systems with Memory

Tusheng Zhang, S. Mohammed, 2008 .

Anticipating Stochastic Dieren tial Systems with Memory

Tusheng Zhang, S. Mohammed, 2007 .

Approximation of the ergodic measure of SDEs with singular drift by Euler-Maruyama scheme

Tusheng Zhang, Xinghu Jin, Lihuan Xu, 2023, 2301.08903.

Dynamics of stochastic 2D Navier–Stokes equations

Tusheng Zhang, S. Mohammed, 2010 .

Perturbation of symmetric Markov processes

Tusheng Zhang, Zhen-Qing Chen, P. Fitzsimmons, 2007 .

Global solutions to stochastic reaction–diffusion equations with super-linear drift and multiplicative noise

Tusheng Zhang, D. Khoshnevisan, R. Dalang, 2019, The Annals of Probability.

Hölder Continuity of Solutions of SPDEs with Reflection

Tusheng Zhang, R. Dalang, 2013 .

Existence and Uniqueness of Invariant Measures for SPDEs with Two Reflecting Walls

Tusheng Zhang, Juan Yang, 2012, 1203.6818.

Systems of stochastic partial differential equations with reflection: Existence and uniqueness

Tusheng Zhang, 2011 .

White Noise Driven SPDEs with Reflection: Strong Feller Properties and Harnack Inequalities

Tusheng Zhang, 2010 .

White noise driven SPDEs with reflection: Existence, uniqueness and large deviation principles

Tusheng Zhang, Tiange Xu, 2009 .

Anticipating stochastic 2D Navier–Stokes equations

Tusheng Zhang, S. Mohammed, 2011, 1112.2920.

Large deviations for invariant measures of SPDEs with two reflecting walls

Tusheng Zhang, 2012, 1203.6821.

Gaussian tail estimates for Dirichlet processes

J. Ubøe, Tusheng Zhang, 1995 .

Singular Control and Optimal Stopping of SPDEs, and Backward SPDEs with Reflection

Bernt Øksendal, Agnès Sulem, Tusheng Zhang, 2014, Math. Oper. Res..

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

B. Øksendal, H. Holden, J. Ubøe, 1996 .

TIME-REVERSAL AND ELLIPTIC BOUNDARY VALUE PROBLEMS

Tusheng Zhang, Zhen-Qing Chen, 2009, 0907.4301.

Decomposition of Dirichlet Processes and its Application

Terry Lyons, Tusheng Zhang, Tusheng Zhang, 1994 .

Stochastic heat equations with logarithmic nonlinearity

Tusheng Zhang, Shijie Shang, 2019, 1907.03948.

Global well-posedness to stochastic reaction-diffusion equations on the real line R with superlinear drifts driven by multiplicative space-time white noise

Tusheng Zhang, Shijie Shang, Tusheng Zhang, 2021, Electronic Journal of Probability.

Neumann boundary value problems for elliptic operators with measure-valued coefficients

Tusheng Zhang, Rong Wei, Saisai Yang, 2023, Proceedings of the American Mathematical Society.

Strong solutions to reflecting stochastic differential equations with singular drift

Tusheng Zhang, Saisai Yang, 2020, Stochastic Processes and their Applications.

Log Harnack inequality for mild solutions of SPDEs with multiplicative noise

Tusheng Zhang, Feng-Yu Wang, 2014 .

Log-Harnack Inequality for Mild Solutions of SPDEs with Strongly Multiplicative Noise ∗

Tusheng Zhang, Feng-Yu Wang, 2012, 1210.6416.

On the Small Time Asymptotics of Diffusion Processes on Path Groups

Tusheng Zhang, S. Aida, 2002 .

Large Deviations for the Brownian Motion on Loop Groups

Tusheng Zhang, S. Fang, 2001 .

On the small time large deviations of diffusion processes on configuration spaces

Tusheng Zhang, 2001 .

PROCESSES ON HILBERT SPACES

Tusheng Zhang, 2016 .

The substitution theorem for semilinear stochastic partial differential equations

Tusheng Zhang, S. Mohammed, 2007 .

Stochastic Burgers type equations with reflection: Existence, uniqueness

Tusheng Zhang, 2019, Journal of Differential Equations.

Stochastic Burgers Equation with Random Initial Velocities: A Malliavin Calculus Approach

Salah-Eldin A. Mohammed, Tusheng Zhang, Tusheng Zhang, 2013, SIAM J. Math. Anal..

Local times of fractional Brownian sheets

Tusheng Zhang, Yimin Xiao, 2002 .

Mixed Boundary Value Problems of Semilinear Elliptic PDEs and BSDEs with Singular Coefficients

Tusheng Zhang, Xuewei Yang, 2011, 1112.3148.

A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients

Tusheng Zhang, 2011, 1211.3820.

Large deviations for stochastic nonlinear beam equations

Tusheng Zhang, Tusheng Zhang, 2007 .

A Large Deviation Principle of Retarded Ornstein-Uhlenbeck Processes Driven by Lévy Noise

Tusheng Zhang, Kai Liu, 2014 .

Well-posedness of stochastic partial differential equations with fully local monotone coefficients

Tusheng Zhang, M. Rockner, Shijie Shang, 2022, Mathematische Annalen.

FINITE DIMENSIONAL APPROXIMATIONS OF DIFFUSION PROCESSES ON BANACH SPACES

Tusheng Zhang, 2001 .

Convergence of non-symmetric dirichlet processes

Tusheng Zhang, Terry Lyons, 1996 .

Note on Convergence of Dirichlet Processes

Tusheng Zhang, Terry Lyons, 1993 .

Pathwise uniqueness and non-explosion of SDEs driven by compensated Poisson random measures

Tusheng Zhang, Chen Wang, 2019, Statistics & Probability Letters.

Uniqueness of Generalized Schrödinger Operators, Part II

Tusheng Zhang, M. Röckner, 1994 .