Edit Profile Zhang, Tusheng S. Compute Distance To: Compute Author ID: zhang.tusheng-s Published as: Zhang, T.; Zhang, T. S.; Zhang, T.-S.; Zhang, Tu-Sheng; Zhang, Tu-sheng; Zhang, Tusheng; Zhang, Tusheng S. Homepage: http://www.maths.manchester.ac.uk/~tzhang/ External Links: ResearchGate · dblp · GND Documents Indexed: 169 Publications since 1989, including 6 Books all top 5 Co-Authors 24 single-authored 30 Øksendal, Bernt Karsten 20 Röckner, Michael 15 Ubœ, Jan 11 Zhai, Jianliang 10 Chen, Zhen-Qing 9 Holden, Helge 9 Lindstrøm, Tom L. 8 Mohammed, Salah-Eldin A. 7 Fang, Shizan 6 Hu, Yaozhong 5 Albeverio, Sergio A. 5 Fitzsimmons, Patrick J. 5 Lyons, Terence John 5 Sulem, Agnès 5 Xu, Tiange 4 Dong, Zhao 4 Kuwae, Kazuhiro 4 Wang, Feng-Yu 4 Yang, Xue 3 Shang, Shijie 3 Wang, Ran 3 Yue, Wen 2 Benth, Fred Espen 2 Dalang, Robert C. 2 Di Nunno, Giulia 2 Matoussi, Anis 2 Proske, Frank Norbert 2 Ran, Qikang 2 Takeda, Masayoshi 2 Wu, Jianglun 2 Xu, Lihu 2 Yan, Jia-An 2 Yang, Juan 2 Zhang, Rangrang 2 Zheng, Wuting 1 Aida, Shigeki 1 Biagini, Francesca 1 Bo, Lijun 1 Bogachev, Vladimir Igorevich 1 Doney, Ronald Arthur 1 Gjerde, Jon 1 Gjessing, Håkon K. 1 Hofmanová, Martina 1 Hu, Ying 1 Imkeller, Peter 1 Khoshnevisan, Davar 1 Ledoux, Michel 1 Liu, Kai 1 Lunt, John 1 Ma, Zhi-Ming 1 Menoukeu Pamen, Olivier 1 Meyer-Brandis, Thilo 1 Nilssen, Torstein K. 1 Nualart, David 1 Pardoux, Etienne 1 Posilicano, Andrea 1 Qian, Zhongmin M. 1 Sabbagh, Wissal 1 Wang, Chen 1 Wen, Chunhui 1 Winter, Matthias 1 Xiang, Kai-Nan 1 Xiao, Yimin 1 Xiong, Jie 1 Yang, Saisai 1 Ying, Jiangang 1 Zhang, Qi 1 Zhang, Xicheng 1 Zhao, Huaizhong 1 Zheng, Weian 1 Zhou, Xunyu all top 5 Serials 20 Stochastic Processes and their Applications 11 The Annals of Probability 11 Potential Analysis 10 Journal of Functional Analysis 7 Stochastics and Stochastics Reports 6 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Probability Theory and Related Fields 4 Journal of Differential Equations 4 Journal of Theoretical Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Applied Mathematics and Optimization 3 Osaka Journal of Mathematics 3 Stochastic Analysis and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 The Annals of Applied Probability 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Stochastics and Dynamics 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 Communications in Partial Differential Equations 2 Bernoulli 2 Stochastics 2 Communications in Mathematics and Statistics 2 Probability and its Applications 1 Advances in Applied Probability 1 Acta Mathematica Sinica 1 Bulletin of the London Mathematical Society 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Mathematics. Wuhan University 1 Journal of Time Series Analysis 1 Chinese Annals of Mathematics. Series B 1 Forum Mathematicum 1 Science in China. Series A 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Interdisciplinary Mathematical Sciences 1 Abel Symposia 1 Communications on Stochastic Analysis 1 International Journal of Stochastic Analysis 1 Universitext all top 5 Fields 161 Probability theory and stochastic processes (60-XX) 50 Partial differential equations (35-XX) 34 Potential theory (31-XX) 16 Systems theory; control (93-XX) 11 Operator theory (47-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Fluid mechanics (76-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 132 Publications have been cited 1,837 times in 1,326 Documents Cited by ▼ Year ▼ Stochastic calculus for fractional Brownian motion and applications. Zbl 1157.60002Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 188 2008 Stochastic partial differential equations. A modeling, white noise functional approach. Zbl 0860.60045Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 152 1996 A study of a class of stochastic differential equations with non-Lipschitzian coefficients. Zbl 1081.60043Fang, Shizan; Zhang, Tusheng 69 2005 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057Röckner, Michael; Zhang, Tusheng 64 2007 Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng 61 1998 Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 49 2010 Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. Zbl 1217.93183Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 41 2011 The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Zbl 1169.60014Mohammed, Salah-Eldin A.; Zhang, Tusheng; Zhao, Huaizhong 41 2008 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510Ledoux, M.; Qian, Z.; Zhang, T. 41 2002 Decomposition of Dirichlet processes and its applications. Zbl 0804.60044Lyons, T. J.; Zhang, T. S. 37 1994 Absolute continuity of symmetric Markov processes. Zbl 1053.60084Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S. 35 2004 Local times of fractional Brownian sheets. Zbl 1009.60024Xiao, Yimin; Zhang, Tusheng 33 2002 Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028Röckner, Michael; Zhang, Tu-Sheng 32 1992 Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053Röckner, Michael; Zhang, Tu-Sheng 31 1994 White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121Zhang, Tusheng 29 2010 White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles. Zbl 1175.60068Xu, Tiange; Zhang, Tusheng 29 2009 Stochastic calculus for symmetric Markov processes. Zbl 1142.31005Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 29 2008 Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng 26 2010 On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026Aida, Shigeki; Zhang, Tusheng 25 2002 The Burgers equation with a noisy force and the stochastic heat equation. Zbl 0804.35158Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S. 25 1994 A variational approach to the construction and Malliavin differentiability of strong solutions of SDEs. Zbl 1282.60057Menoukeu-Pamen, Olivier; Meyer-Brandis, Thilo; Nilssen, Torstein; Proske, Frank; Zhang, Tusheng 24 2013 Perturbation of symmetric Markov processes. Zbl 1137.31004Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 24 2008 Stochastic partial differential equations driven by multiparameter fractional white noise. Zbl 0982.60054Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 24 2000 Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels. Zbl 0914.60045Lunt, John; Lyons, T. J.; Zhang, T. S. 22 1998 Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095Wang, Ran; Zhang, Tusheng 21 2015 The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures. Zbl 1118.60052Øksendal, Bernt; Zhang, Tusheng 21 2007 Global flows for stochastic differential equations without global Lipschitz conditions. Zbl 1128.60046Fang, Shizan; Imkeller, Peter; Zhang, Tusheng 21 2007 Girsanov and Feynman-Kac type transformations for symmetric Markov processes. Zbl 1004.60077Chen, Zhen-Qing; Zhang, Tu-Sheng 21 2002 On the small time asymptotics of diffusion processes on Hilbert spaces. Zbl 1044.60071Zhang, T. S. 21 2000 A moderate deviation principle for 2-D stochastic Navier-Stokes equations. Zbl 1310.60100Wang, Ran; Zhai, Jianliang; Zhang, Tusheng 19 2015 Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations. Zbl 0986.60056Øksendal, Bernt; Zhang, Tusheng 18 2001 Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032Röckner, Michael; Zhang, Tusheng 16 2012 Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes. Zbl 1210.60071Xu, Tiange; Zhang, Tusheng 16 2009 Perturbed Skorohod equations and perturbed reflected diffusion processes. Zbl 1061.60056Doney, R. A.; Zhang, Tusheng 15 2005 Girsanov transform for symmetric diffusions with infinite dimensional state space. Zbl 0776.60093Albeverio, S.; Röckner, M.; Zhang, T. S. 15 1993 A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1356.60100Dong, Zhao; Xiong, Jie; Zhai, Jianliang; Zhang, Tusheng 14 2017 Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1344.60030Zhai, Jianliang; Zhang, Tusheng 14 2015 Optimal control with partial information for stochastic Volterra equations. Zbl 1214.49033Øksendal, Bernt; Zhang, Tusheng 13 2010 General fractional multiparameter white noise theory and stochastic partial differential equations. Zbl 1067.35161Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 13 2004 A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion. Zbl 1031.60051Fang, Shizan; Zhang, Tusheng 13 2003 Singular control and optimal stopping of SPDEs, and backward SPDEs with reflection. Zbl 1306.93078Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 12 2014 Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Zbl 1185.60065Wang, Feng-Yu; Zhang, Tu-Sheng 12 2010 Isotropic stochastic flow of homeomorphisms on \(S^{d}\) for the critical Sobolev exponent. Zbl 1095.60020Fang, Shizan; Zhang, Tusheng 12 2006 Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields. Zbl 1090.60057Øksendal, Bernt; Proske, Frank; Zhang, Tusheng 12 2005 On general perturbations of symmetric Markov processes. Zbl 1176.60070Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 11 2009 On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary. Zbl 0796.60062Zhang, Tu-Sheng 11 1994 Absolute continuity of the law of the solution of a parabolic SPDE. Zbl 0777.60046Pardoux, Etienne; Zhang, Tusheng 11 1993 Large deviations for the Brownian motion on loop groups. Zbl 1003.60028Fang, Shizan; Zhang, Tusheng 10 2001 On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts. Zbl 0932.60071Fang, S.; Zhang, T. S. 10 1999 Markov uniqueness for a class of infinite dimensional Dirichlet operators. Zbl 0827.31007Albeverio, Sergio; Röckner, Michael; Zhang, Tu-Sheng 10 1993 Characterizations of the white noise test functionals and Hida distributions. Zbl 0765.60031Zhang, Tu-Sheng 10 1992 Large deviations for stochastic models of two-dimensional second grade fluids. Zbl 1370.60049Zhai, Jianliang; Zhang, Tusheng 9 2017 Time-reversal and elliptic boundary value problems. Zbl 1187.60064Chen, Zhen-Qing; Zhang, Tusheng 9 2009 Large deviations for stochastic systems with memory. Zbl 1136.60021Mohammed, Salah-Eldin A.; Zhang, Tusheng 9 2006 Generalized Feynman-Kac semigroups, associated quadratic forms and asymptotic properties. Zbl 0984.31006Zhang, T. S. 9 2001 Large deviations for SPDEs of jump type. Zbl 1327.60074Yang, Xue; Zhai, Jianliang; Zhang, Tusheng 8 2015 Strong convergence of Wong-Zakai approximations of reflected SDEs in a multidimensional general domain. Zbl 1311.60066Zhang, Tusheng 8 2014 Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Zbl 1285.60065Wang, Feng-Yu; Zhang, Tusheng 8 2014 Improved rectangular method on stochastic Volterra equations. Zbl 1221.65023Wen, C. H.; Zhang, T. S. 8 2011 SPDEs driven by space-time white noise in high dimensions: Absolute continuity of the law and convergence of solutions. Zbl 1030.60042Zhang, T. S.; Zheng, W. A. 8 2002 Existence and uniqueness of invariant measures: An approach via sectorial forms. Zbl 0953.31003Bogachev, V.; Röckner, M.; Zhang, T. S. 8 2000 Convergence of non-symmetric Dirichlet processes. Zbl 0888.31005Lyons, Terry; Zhang, Tusheng 8 1996 The pressure equation for fluid flow in a stochastic medium. Zbl 0834.60068Holden, H.; Lindstrøm, T.; Øksendal, B.; Ubøe, J.; Zhang, T.-S. 8 1995 Exponential mixing for stochastic model of two-dimensional second grade fluids. Zbl 1329.60223Wang, Ran; Zhai, Jianliang; Zhang, Tusheng 7 2016 SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y. 7 2015 Large deviations for stochastic nonlinear beam equations. Zbl 1118.60021Zhang, Tusheng 7 2007 Approximation of arbitrary Dirichlet processes by Markov chains. Zbl 0898.31009Ma, Zhiming; Röckner, Michael; Zhang, Tu-Sheng 7 1998 Finite dimensional approximation of diffusion processes on infinite dimensional spaces. Zbl 0885.60066Röckner, M.; Zhang, T. S. 7 1996 Stochastic boundary value problems: A white noise functional approach. Zbl 0792.60055Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu-Sheng 7 1993 Markov uniqueness and its applications to martingale problems, stochastic differential equations and stochastic quantization. Zbl 0767.31009Albeverio, Sergio; Röckner, Michael; Zhang, Tu-Sheng 7 1993 Quasilinear parabolic stochastic partial differential equations: existence, uniqueness. Zbl 1372.60091Hofmanová, Martina; Zhang, Tusheng 6 2017 White noise driven SPDEss with two reflecting walls. Zbl 1235.60081Zhang, Tusheng; Yang, Juan 6 2011 The Wick product. Zbl 0820.60048Gjessing, H.; Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S. 6 1993 Stochastic Burgers equation with random initial velocities: a Malliavin calculus approach. Zbl 1274.60205Mohammed, Salah-Eldin A.; Zhang, Tusheng 5 2013 On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations. Zbl 1196.60119Xu, Tiange; Zhang, Tusheng 5 2009 Small time asymptotics for Fleming-Viot processes. Zbl 1080.60504Xiang, Kai-Nan; Zhang, Tu-Sheng 5 2005 The stochastic Wick-type Burgers equation. Zbl 0823.60050Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S. 5 1995 Stability properties of stochastic partial differential equations. Zbl 0829.60053Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 5 1995 Efficient SPH simulation of time-domain acoustic wave propagation. Zbl 1403.76173Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y. 4 2016 Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes. Zbl 1325.60131Yue, Wen; Zhang, Tusheng 4 2015 Existence and uniqueness of invariant measures for SPDEs with two reflecting walls. Zbl 1308.60081Yang, Juan; Zhang, Tusheng 4 2014 Hölder continuity of solutions of SPDEs with reflection. Zbl 1277.60107Dalang, Robert C.; Zhang, Tusheng 4 2013 Backward stochastic differential equations with respect to general filtrations and applications to insider finance. Zbl 1331.91209Øksendal, Bernt; Zhang, Tusheng 4 2012 Large deviations for invariant measures of SPDEs with two reflecting walls. Zbl 1248.60077Zhang, Tusheng 4 2012 A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients. Zbl 1242.60072Zhang, Tusheng 4 2011 Systems of stochastic partial differential equations with reflection: existence and uniqueness. Zbl 1218.60059Zhang, Tusheng 4 2011 Existence and uniqueness of bounded weak solutions of a semilinear parabolic PDE. Zbl 1205.60116Ran, Qikang; Zhang, Tusheng 4 2010 Dynamics of stochastic 2D Navier-Stokes equations. Zbl 1213.60107Mohammed, Salah; Zhang, Tusheng 4 2010 Nonrobustness of some impulse control problems with respect to intervention costs. Zbl 1012.93066Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 4 2002 On the small time large deviations of diffusion processes on configuration spaces. Zbl 1047.60081Zhang, T. S. 4 2001 Convergence of operator semigroups generated by elliptic operators. Zbl 0906.47027Röckner, Michael; Zhang, Tu-Sheng 4 1997 Note on convergence of Dirichlet processes. Zbl 0793.31006Lyons, T. J.; Zhang, T. S. 4 1993 The stochastic Volterra equation. Zbl 0783.60060Øksendal, Bernt; Zhang, Tu-Sheng 4 1993 Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting 3 2018 Backward doubly SDEs and semilinear stochastic PDEs in a convex domain. Zbl 1372.60085Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng 3 2017 Estimates of heat kernels with Neumann boundary conditions. Zbl 1262.35115Yang, Xue; Zhang, Tusheng 3 2013 Probabilistic representations and hyperbound estimates for semigroups. Zbl 1043.47508Röckner, M.; Zhang, T. S. 3 1999 Asymptotic properties of additive functionals of Brownian motion. Zbl 0887.60077Takeda, Masayoshi; Zhang, Tusheng 3 1997 A stability property of the stochastic heat equation. Zbl 0847.60042Ubøe, Jan; Zhang, Tusheng 3 1995 Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise. Zbl 1418.60072Dalang, Robert C.; Khoshnevisan, Davar; Zhang, Tusheng 2 2019 Large deviation principles for first-order scalar conservation laws with stochastic forcing. Zbl 07200530Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng 1 2020 Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise. Zbl 1418.60072Dalang, Robert C.; Khoshnevisan, Davar; Zhang, Tusheng 2 2019 Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise. Zbl 1403.60058Shang, Shijie; Zhai, Jianliang; Zhang, Tusheng 2 2019 Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting 3 2018 Large deviations for stochastic heat equation with rough dependence in space. Zbl 1379.60069Hu, Yaozhong; Nualart, David; Zhang, Tusheng 1 2018 A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1356.60100Dong, Zhao; Xiong, Jie; Zhai, Jianliang; Zhang, Tusheng 14 2017 Large deviations for stochastic models of two-dimensional second grade fluids. Zbl 1370.60049Zhai, Jianliang; Zhang, Tusheng 9 2017 Quasilinear parabolic stochastic partial differential equations: existence, uniqueness. Zbl 1372.60091Hofmanová, Martina; Zhang, Tusheng 6 2017 Backward doubly SDEs and semilinear stochastic PDEs in a convex domain. Zbl 1372.60085Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng 3 2017 Exponential mixing for stochastic model of two-dimensional second grade fluids. Zbl 1329.60223Wang, Ran; Zhai, Jianliang; Zhang, Tusheng 7 2016 Efficient SPH simulation of time-domain acoustic wave propagation. Zbl 1403.76173Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y. 4 2016 Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses. Zbl 07162933Zhang, T.; Ouyang, H.; Zhang, Y. O.; Lv, B. L. 2 2016 Lattice approximations of reflected stochastic partial differential equations driven by space-time white noise. Zbl 1358.60075Zhang, Tusheng 2 2016 A stochastic HJB equation for optimal control of forward-backward SDEs. Zbl 1354.60061Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 1 2016 The dynamics of the stochastic shadow Gierer-Meinhardt system. Zbl 1337.60139Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng 1 2016 Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095Wang, Ran; Zhang, Tusheng 21 2015 A moderate deviation principle for 2-D stochastic Navier-Stokes equations. Zbl 1310.60100Wang, Ran; Zhai, Jianliang; Zhang, Tusheng 19 2015 Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1344.60030Zhai, Jianliang; Zhang, Tusheng 14 2015 Large deviations for SPDEs of jump type. Zbl 1327.60074Yang, Xue; Zhai, Jianliang; Zhang, Tusheng 8 2015 SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y. 7 2015 Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes. Zbl 1325.60131Yue, Wen; Zhang, Tusheng 4 2015 Wong-Zakai approximations of backward doubly stochastic differential equations. Zbl 1325.60089Hu, Ying; Matoussi, Anis; Zhang, Tusheng 1 2015 Singular control and optimal stopping of SPDEs, and backward SPDEs with reflection. Zbl 1306.93078Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 12 2014 Strong convergence of Wong-Zakai approximations of reflected SDEs in a multidimensional general domain. Zbl 1311.60066Zhang, Tusheng 8 2014 Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Zbl 1285.60065Wang, Feng-Yu; Zhang, Tusheng 8 2014 Existence and uniqueness of invariant measures for SPDEs with two reflecting walls. Zbl 1308.60081Yang, Juan; Zhang, Tusheng 4 2014 A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients. Zbl 1296.60164Chen, Zhen-Qing; Zhang, Tusheng 2 2014 A large deviation principle of retarded Ornstein-Uhlenbeck processes driven by Lévy noise. Zbl 1308.60029Liu, Kai; Zhang, Tusheng 1 2014 A variational approach to the construction and Malliavin differentiability of strong solutions of SDEs. Zbl 1282.60057Menoukeu-Pamen, Olivier; Meyer-Brandis, Thilo; Nilssen, Torstein; Proske, Frank; Zhang, Tusheng 24 2013 Stochastic Burgers equation with random initial velocities: a Malliavin calculus approach. Zbl 1274.60205Mohammed, Salah-Eldin A.; Zhang, Tusheng 5 2013 Hölder continuity of solutions of SPDEs with reflection. Zbl 1277.60107Dalang, Robert C.; Zhang, Tusheng 4 2013 Estimates of heat kernels with Neumann boundary conditions. Zbl 1262.35115Yang, Xue; Zhang, Tusheng 3 2013 Stochastic generalized porous media equations with reflection. Zbl 1328.60152Röckner, Michael; Wang, Feng-Yu; Zhang, Tusheng 1 2013 Anticipating stochastic 2D Navier-Stokes equations. Zbl 1282.35281Mohammed, Salah; Zhang, Tusheng 1 2013 Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032Röckner, Michael; Zhang, Tusheng 16 2012 Backward stochastic differential equations with respect to general filtrations and applications to insider finance. Zbl 1331.91209Øksendal, Bernt; Zhang, Tusheng 4 2012 Large deviations for invariant measures of SPDEs with two reflecting walls. Zbl 1248.60077Zhang, Tusheng 4 2012 Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs. Zbl 1283.93316Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 1 2012 The Burgers equation with affine linear noise: dynamics and stability. Zbl 1248.60072Mohammed, Salah; Zhang, Tusheng 1 2012 Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. Zbl 1217.93183Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng 41 2011 Improved rectangular method on stochastic Volterra equations. Zbl 1221.65023Wen, C. H.; Zhang, T. S. 8 2011 White noise driven SPDEss with two reflecting walls. Zbl 1235.60081Zhang, Tusheng; Yang, Juan 6 2011 A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients. Zbl 1242.60072Zhang, Tusheng 4 2011 Systems of stochastic partial differential equations with reflection: existence and uniqueness. Zbl 1218.60059Zhang, Tusheng 4 2011 Stochastic evolution equations driven by Lévy processes. Zbl 1237.60049Chen, Zhen-Qing; Zhang, Tusheng 2 2011 Backward SDEs and Sobolev solutions for semilinear parabolic PDEs with singular coefficients. Zbl 1227.60089Zhang, Tusheng; Ran, Qikang 1 2011 Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 49 2010 White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121Zhang, Tusheng 29 2010 Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng 26 2010 Optimal control with partial information for stochastic Volterra equations. Zbl 1214.49033Øksendal, Bernt; Zhang, Tusheng 13 2010 Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Zbl 1185.60065Wang, Feng-Yu; Zhang, Tu-Sheng 12 2010 Existence and uniqueness of bounded weak solutions of a semilinear parabolic PDE. Zbl 1205.60116Ran, Qikang; Zhang, Tusheng 4 2010 Dynamics of stochastic 2D Navier-Stokes equations. Zbl 1213.60107Mohammed, Salah; Zhang, Tusheng 4 2010 Large deviation principles for isotropic stochastic flow of homeomorphisms on \(S^{d}\). Zbl 1205.60058Xu, Tiange; Zhang, Tusheng 1 2010 White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles. Zbl 1175.60068Xu, Tiange; Zhang, Tusheng 29 2009 Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes. Zbl 1210.60071Xu, Tiange; Zhang, Tusheng 16 2009 On general perturbations of symmetric Markov processes. Zbl 1176.60070Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 11 2009 Time-reversal and elliptic boundary value problems. Zbl 1187.60064Chen, Zhen-Qing; Zhang, Tusheng 9 2009 On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations. Zbl 1196.60119Xu, Tiange; Zhang, Tusheng 5 2009 Large deviations for perturbed reflected diffusion processes. Zbl 1187.60018Bo, Lijun; Zhang, Tusheng 2 2009 Invariant measures for stochastic evolution equations of pure jump type. Zbl 1157.60062Dong, Zhao; Xu, Tiange; Zhang, Tusheng 2 2009 Anticipating stochastic differential systems with memory. Zbl 1196.60103Mohammed, Salah; Zhang, Tusheng 1 2009 Stochastic calculus for fractional Brownian motion and applications. Zbl 1157.60002Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 188 2008 The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Zbl 1169.60014Mohammed, Salah-Eldin A.; Zhang, Tusheng; Zhao, Huaizhong 41 2008 Stochastic calculus for symmetric Markov processes. Zbl 1142.31005Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 29 2008 Perturbation of symmetric Markov processes. Zbl 1137.31004Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S. 24 2008 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057Röckner, Michael; Zhang, Tusheng 64 2007 The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures. Zbl 1118.60052Øksendal, Bernt; Zhang, Tusheng 21 2007 Global flows for stochastic differential equations without global Lipschitz conditions. Zbl 1128.60046Fang, Shizan; Imkeller, Peter; Zhang, Tusheng 21 2007 Large deviations for stochastic nonlinear beam equations. Zbl 1118.60021Zhang, Tusheng 7 2007 The substitution theorem for semilinear stochastic partial differential equations. Zbl 1138.60048Mohammed, Salah-Eldin A.; Zhang, Tusheng 2 2007 Isotropic stochastic flow of homeomorphisms on \(S^{d}\) for the critical Sobolev exponent. Zbl 1095.60020Fang, Shizan; Zhang, Tusheng 12 2006 Large deviations for stochastic systems with memory. Zbl 1136.60021Mohammed, Salah-Eldin A.; Zhang, Tusheng 9 2006 A study of a class of stochastic differential equations with non-Lipschitzian coefficients. Zbl 1081.60043Fang, Shizan; Zhang, Tusheng 69 2005 Perturbed Skorohod equations and perturbed reflected diffusion processes. Zbl 1061.60056Doney, R. A.; Zhang, Tusheng 15 2005 Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields. Zbl 1090.60057Øksendal, Bernt; Proske, Frank; Zhang, Tusheng 12 2005 Small time asymptotics for Fleming-Viot processes. Zbl 1080.60504Xiang, Kai-Nan; Zhang, Tu-Sheng 5 2005 Absolute continuity of symmetric Markov processes. Zbl 1053.60084Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S. 35 2004 General fractional multiparameter white noise theory and stochastic partial differential equations. Zbl 1067.35161Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 13 2004 Convergence of symmetric diffusions on Wiener spaces. Zbl 1065.60111Posilicano, A.; Zhang, T. S. 1 2004 A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion. Zbl 1031.60051Fang, Shizan; Zhang, Tusheng 13 2003 Lower order perturbations of Dirichlet processes. Zbl 1021.60058Röckner, M.; Zhang, T. S. 2 2003 A comparison theorem for solutions of backward stochastic differential equations with two reflecting barriers and its applications. Zbl 1062.60058Zhang, T. S. 1 2003 Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510Ledoux, M.; Qian, Z.; Zhang, T. 41 2002 Local times of fractional Brownian sheets. Zbl 1009.60024Xiao, Yimin; Zhang, Tusheng 33 2002 On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026Aida, Shigeki; Zhang, Tusheng 25 2002 Girsanov and Feynman-Kac type transformations for symmetric Markov processes. Zbl 1004.60077Chen, Zhen-Qing; Zhang, Tu-Sheng 21 2002 SPDEs driven by space-time white noise in high dimensions: Absolute continuity of the law and convergence of solutions. Zbl 1030.60042Zhang, T. S.; Zheng, W. A. 8 2002 Nonrobustness of some impulse control problems with respect to intervention costs. Zbl 1012.93066Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng 4 2002 Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations. Zbl 0986.60056Øksendal, Bernt; Zhang, Tusheng 18 2001 Large deviations for the Brownian motion on loop groups. Zbl 1003.60028Fang, Shizan; Zhang, Tusheng 10 2001 Generalized Feynman-Kac semigroups, associated quadratic forms and asymptotic properties. Zbl 0984.31006Zhang, T. S. 9 2001 On the small time large deviations of diffusion processes on configuration spaces. Zbl 1047.60081Zhang, T. S. 4 2001 Stochastic partial differential equations driven by multiparameter fractional white noise. Zbl 0982.60054Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng 24 2000 On the small time asymptotics of diffusion processes on Hilbert spaces. Zbl 1044.60071Zhang, T. S. 21 2000 Existence and uniqueness of invariant measures: An approach via sectorial forms. Zbl 0953.31003Bogachev, V.; Röckner, M.; Zhang, T. S. 8 2000 On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts. Zbl 0932.60071Fang, S.; Zhang, T. S. 10 1999 Probabilistic representations and hyperbound estimates for semigroups. Zbl 1043.47508Röckner, M.; Zhang, T. S. 3 1999 Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng 61 1998 Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels. Zbl 0914.60045Lunt, John; Lyons, T. J.; Zhang, T. S. 22 1998 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,439 Authors 87 Zhang, Tusheng S. 31 Øksendal, Bernt Karsten 31 Röckner, Michael 27 Chen, Zhen-Qing 27 Yan, Litan 25 Wang, Feng-Yu 20 Xie, Yingchao 17 Proske, Frank Norbert 16 Zhai, Jianliang 16 Zhang, Xicheng 15 Kuwae, Kazuhiro 14 Alpay, Daniel Aron 13 Albeverio, Sergio A. 11 Duan, Jinqiao 11 Hu, Yaozhong 11 Liu, Wei 11 Sun, Wei 11 Wang, Ran 11 Wu, Fuke 11 Xiao, Yimin 11 Yuan, Chenggui 10 Gao, Hongjun 10 Lanconelli, Alberto 10 Luo, Dejun 10 Wang, Yongjin 10 Zhao, Huaizhong 9 Fang, Shizan 9 Fitzsimmons, Patrick J. 9 Inahama, Yuzuru 9 Menoukeu Pamen, Olivier 9 Meyer-Brandis, Thilo 9 Ubœ, Jan 9 Xiong, Jie 8 Dong, Zhao 8 Friz, Peter Karl 8 Kondrat’yev, Yuriĭ Grygorovych 8 Nualart, David 8 Seleši, Dora 8 Takeda, Masayoshi 8 Xie, Bin 8 Xu, Lihu 8 Xu, Yong 8 Yang, Xue 7 Agram, Nacira 7 Aida, Shigeki 7 Bo, Lijun 7 Chen, Zhenlong 7 Hairer, Martin 7 Hu, Shigeng 7 Leonenko, Nikolai N. 7 Liu, Junfeng 7 Lu, Kening 7 Ma, Zhi-Ming 7 Maslowski, Bohdan 7 Mohammed, Salah-Eldin A. 7 Pei, Bin 7 Priola, Enrico 7 Rozovskii, Boris L. 7 Wu, Dongsheng 7 Wu, Jianglun 7 Yang, Juan 7 Zeng, Caibin 6 Baños, David R. 6 Bao, Jianhai 6 Brzeźniak, Zdzisław 6 Chen, Bin 6 Cui, Jing 6 Fan, Xiliang 6 Huang, Jianhua 6 Jiang, Yiming 6 Jørgensen, Palle E. T. 6 Kim, Daehong 6 Levajković, Tijana 6 Liang, Zongxia 6 Liu, Qing 6 Lototsky, Sergey V. 6 Lv, Guangying 6 Melnikova, Irina V. 6 Shen, Guangjun 6 Shi, KeHua 6 Sun, Xichao 6 Tachim Medjo, Theodore 6 Yang, Xiaoyuan 6 Yin, Xiuwei 5 Bonaccorsi, Stefano 5 Chen, Chao 5 Chen, Chuanzhong 5 Holden, Helge 5 Li, Yumeng 5 Lindstrøm, Tom L. 5 Manouzi, Hassan 5 Mao, Xuerong 5 Matoussi, Anis 5 Matthies, Hermann Georg 5 Mishura, Yuliya Stepanivna 5 Nilssen, Torstein K. 5 Pilipović, Stevan 5 Ren, Jiagang 5 Russo, Francesco 5 Shao, Jinghai ...and 1,339 more Authors all top 5 Cited in 255 Serials 104 Stochastic Processes and their Applications 63 Journal of Functional Analysis 48 The Annals of Probability 43 Statistics & Probability Letters 43 Potential Analysis 42 Journal of Mathematical Analysis and Applications 42 Stochastic Analysis and Applications 35 Journal of Differential Equations 33 Stochastics and Dynamics 30 Journal of Theoretical Probability 25 Chaos, Solitons and Fractals 25 Stochastics 24 Infinite Dimensional Analysis, Quantum Probability and Related Topics 22 Probability Theory and Related Fields 19 Journal of Mathematical Physics 18 Journal of Computational and Applied Mathematics 18 Advances in Difference Equations 17 Bernoulli 17 Science China. 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Nonlinear Differential Equations and Applications 4 Engineering Analysis with Boundary Elements 4 Chaos 4 Nonlinear Analysis. Real World Applications 4 Quantitative Finance 4 Mediterranean Journal of Mathematics 4 Communications in Mathematics and Statistics 3 International Journal of Control 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Integral Equations and Operator Theory 3 Journal of the Mathematical Society of Japan 3 Mathematische Annalen 3 Quarterly of Applied Mathematics 3 Applied Numerical Mathematics 3 Science in China. Series A 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Stochastics and Stochastics Reports 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Random Operators and Stochastic Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Nonlinear Dynamics 3 Journal of Inequalities and Applications 3 Methodology and Computing in Applied Probability 3 Differential Equations 3 Communications on Pure and Applied Analysis 3 Journal of the Korean Statistical Society 3 Mathematics and Financial Economics 3 Carpathian Mathematical Publications 3 SIAM/ASA Journal on Uncertainty Quantification 3 Journal of Function Spaces 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics ...and 155 more Serials all top 5 Cited in 50 Fields 1,173 Probability theory and stochastic processes (60-XX) 348 Partial differential equations (35-XX) 115 Systems theory; control (93-XX) 109 Ordinary differential equations (34-XX) 106 Numerical analysis (65-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Dynamical systems and ergodic theory (37-XX) 82 Operator theory (47-XX) 78 Potential theory (31-XX) 55 Fluid mechanics (76-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 45 Functional analysis (46-XX) 41 Statistics (62-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Measure and integration (28-XX) 26 Biology and other natural sciences (92-XX) 23 Real functions (26-XX) 17 Integral equations (45-XX) 17 Quantum theory (81-XX) 12 Operations research, mathematical programming (90-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year