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## Zhang, Xicheng

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 Author ID: zhang.xicheng Published as: Zhang, Xicheng; Zhang, X.; Zhang, Xi-Cheng; Zhang, Xi Cheng External Links: ORCID · dblp
 Documents Indexed: 158 Publications since 1996
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#### Co-Authors

 54 single-authored 13 Ren, Jiagang 10 Chen, Zhen-Qing 9 Röckner, Michael 7 Xie, Longjie 5 Wang, Feng-Yu 4 Cruzeiro, Ana-Bela 3 Dong, Zhao 3 Edirisinghe, N. Chanaka P. 3 Hao, Zimo 3 Xie, Yingchao 3 Xu, Lihu 3 Zhao, GuoHuan 2 Airault, Hélène 2 Goldys, Beniamin 2 He, Kai 2 Qiao, Huijie 2 Song, Yulin 2 Wang, Linlin 2 Zhang, Xianwen 2 Zhou, Shaopu 1 Alshal, H. 1 Baral, Purna C. 1 Benko, C. 1 Beranger, Boris 1 Bishof, M. 1 Boyadzhiyska, Simona 1 Cao, Guilan 1 Coenen, Wilfried 1 Curtright, Thomas L. 1 Du, Kai 1 Gao, Ronghai 1 Hu, Eryan 1 Huang, Wenliang 1 Lange, Karen 1 Li, Yueling 1 Menozzi, Stéphane 1 Molin, Bernard 1 Peng, Xuhui 1 Pesce, Antonello 1 Privault, Nicolas 1 Qiao, Z. X. 1 Quadrio, Maurizio 1 Rémy, Frédérique 1 Ren, Jie 1 Rey, Ana Maria 1 Sánchez, Antonio L. 1 Scanlon, R. 1 Sisson, Scott A. 1 Song, Renming 1 Swallows, M. D. 1 Tamang, Karan 1 von-Stecher, J. 1 Wallbaum, John 1 Wang, Jinxia 1 Wang, Zhen 1 Wang, Zhidong 1 Wu, Jing 1 Wu, Mingyan 1 Xia, Pengcheng 1 Xie, Peng 1 Xu, Siyan 1 Ye, Jun 1 Zhang, Tusheng S. 1 Zhou, Shaofu 1 Zhu, Jingyang
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#### Serials

 12 Stochastic Processes and their Applications 10 Journal of Functional Analysis 8 Journal of Mathematical Analysis and Applications 8 Bulletin des Sciences Mathématiques 5 Journal of Differential Equations 5 Probability Theory and Related Fields 5 Electronic Journal of Probability 4 The Annals of Probability 4 Mathematica Applicata 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Acta Mathematica Sinica. English Series 4 Stochastics and Dynamics 3 Journal of Fluid Mechanics 3 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Potential Analysis 3 Communications in Mathematics and Statistics 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Statistical Physics 2 Studia Mathematica 2 Biometrika 2 Journal of the Operational Research Society 2 Proceedings of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 The Annals of Applied Probability 2 Stochastics and Stochastics Reports 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics 2 Science China. Mathematics 1 European Journal of Physics 1 International Journal of Control 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Algebra and Logic 1 Applied Mathematics and Optimization 1 Journal of Mathematics of Kyoto University 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Mathematics. Wuhan University 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 International Journal of Adaptive Control and Signal Processing 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Journal of Guizhou Normal University. Natural Science 1 Electronic Communications in Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 CMES. Computer Modeling in Engineering & Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Biological Dynamics 1 Science 1 International Journal of Mathematics in Operational Research 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Fields

 118 Probability theory and stochastic processes (60-XX) 46 Partial differential equations (35-XX) 14 Operator theory (47-XX) 10 Fluid mechanics (76-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 6 Operations research, mathematical programming (90-XX) 5 Statistics (62-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

122 Publications have been cited 1,209 times in 639 Documents Cited by Year
Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients. Zbl 1078.60045
Zhang, Xicheng
2005
Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients. Zbl 1225.60099
Zhang, Xicheng
2011
Derivative formulas and gradient estimates for SDEs driven by $$\alpha$$-stable processes. Zbl 1261.60060
Zhang, Xicheng
2013
Euler schemes and large deviations for stochastic Volterra equations with singular kernels. Zbl 1139.60329
Zhang, Xicheng
2008
Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Zbl 1345.60086
Chen, Zhen-Qing; Zhang, Xicheng
2016
Stochastic Volterra equations in Banach spaces and stochastic partial differential equation. Zbl 1189.60124
Zhang, Xicheng
2010
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Stochastic flows and Bismut formulas for stochastic Hamiltonian systems. Zbl 1200.60049
Zhang, Xicheng
2010
Stochastic flows of SDEs with irregular coefficients and stochastic transport equations. Zbl 1197.60057
Zhang, Xicheng
2010
Freidlin-Wentzell’s large deviations for homeomorphism flows of non-Lipschitz SDEs. Zbl 1086.60036
Ren, Jiagang; Zhang, Xicheng
2005
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118
Röckner, Michael; Zhang, Xicheng
2009
Successive approximations of infinite dimensional SDEs with jump. Zbl 1082.60048
Cao, Guilan; He, Kai; Zhang, Xicheng
2005
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
2017
Homeomorphic flows for multi-dimensional SDEs with non-Lipschitz coefficients. Zbl 1084.60037
Zhang, Xicheng
2005
Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060
Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng
2009
Freidlin-Wentzell’s large deviations for stochastic evolution equations. Zbl 1143.60023
Ren, Jiagang; Zhang, Xicheng
2008
$$L^p$$-maximal regularity of nonlocal parabolic equations and applications. Zbl 1288.35152
Zhang, Xicheng
2013
Schilder theorem for the Brownian motion on the diffeomorphism group of the circle. Zbl 1080.60024
Ren, Jiangang; Zhang, Xicheng
2005
Gradient estimates for SDEs driven by multiplicative Lévy noise. Zbl 1325.60099
Wang, Feng-Yu; Xu, Lihu; Zhang, Xicheng
2015
Heat kernel estimates for critical fractional diffusion operators. Zbl 1309.47054
Xie, Longjie; Zhang, Xicheng
2014
Stochastic flows for SDEs with non-Lipschitz coefficient. Zbl 1035.60063
Ren, Jiagang; Zhang, Xicheng
2003
Skorohod problem and multivalued stochastic evolution equations in Banach spaces. Zbl 1117.60066
Zhang, Xicheng
2007
Degenerate SDE with Hölder-Dini drift and non-Lipschitz noise coefficient. Zbl 1342.60093
Wang, Feng-Yu; Zhang, Xicheng
2016
Non-Lipschitz backward stochastic Volterra type equations with jumps. Zbl 1203.60094
Wang, Zhidong; Zhang, Xicheng
2007
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
2018
On stochastic evolution equations with non-Lipschitz coefficients. Zbl 1204.60059
Zhang, Xicheng
2009
Exponential ergodicity of stochastic Burgers equations driven by $$\alpha$$-stable processes. Zbl 1291.35279
Dong, Zhao; Xu, Lihu; Zhang, Xicheng
2014
Stochastic differential equations with Sobolev diffusion and singular drift and applications. Zbl 1353.60056
Zhang, Xicheng
2016
Stochastic differential equations with Sobolev drifts and driven by $$\alpha$$-stable processes. Zbl 1279.60074
Zhang, Xicheng
2013
Derivative formula and applications for degenerate diffusion semigroups. Zbl 1328.60141
Wang, Feng-Yu; Zhang, Xi-Cheng
2013
Stochastic Lagrangian particle approach to fractal Navier-Stokes equations. Zbl 1251.35203
Zhang, Xicheng
2012
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
2009
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112
Röckner, Michael; Zhang, Xicheng
2010
Exponential ergodicity of non-Lipschitz multivalued stochastic differential equations. Zbl 1202.60091
Ren, Jiagang; Wu, Jing; Zhang, Xicheng
2010
Invariant measures of stochastic $$2D$$ Navier-Stokes equation driven by $$\alpha$$-stable processes. Zbl 1243.60052
Dong, Zhao; Xu, Lihu; Zhang, Xicheng
2011
Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients. Zbl 1405.60081
Xie, Longjie; Zhang, Xicheng
2016
Regularities for semilinear stochastic partial differential equations. Zbl 1123.60050
Zhang, Xicheng
2007
$$L^{p}$$-theory of semi-linear SPDEs on general measure spaces and applications. Zbl 1128.60307
Zhang, Xicheng
2006
Ergodicity of stochastic differential equations with jumps and singular coefficients. Zbl 1456.60154
Xie, Longjie; Zhang, Xicheng
2020
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
2018
Exponential ergodicity of non-Lipschitz stochastic differential equations. Zbl 1154.60049
Zhang, Xicheng
2009
Harnack inequalities for SDEs driven by cylindrical $$\alpha$$-stable processes. Zbl 1319.60137
Wang, Linlin; Zhang, Xicheng
2015
Smoothness of local times of semimartingales. Zbl 0956.60043
Airault, Hélène; Ren, Jiagang; Zhang, Xicheng
2000
Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients. Zbl 1262.60056
Zhang, Xicheng
2013
Densities for SDEs driven by degenerate $$\alpha$$-stable processes. Zbl 1307.60090
Zhang, Xicheng
2014
Degenerate SDEs in Hilbert spaces with rough drifts. Zbl 1334.60115
Wang, Feng-Yu; Zhang, Xicheng
2015
Euler-Maruyama approximations for SDEs with non-Lipschitz coefficients and applications. Zbl 1090.60055
Zhang, Xicheng
2006
Derivative formulae for SDEs driven by multiplicative $$\alpha$$-stable-like processes. Zbl 1322.60098
Wang, Linlin; Xie, Longjie; Zhang, Xicheng
2015
Non-Lipschitz stochastic differential equations driven by multi-parameter Brownian motions. Zbl 1108.60054
Zhang, Xicheng; Zhu, Jingyang
2006
Large deviations for multivalued stochastic differential equations. Zbl 1204.60054
Ren, Jiagang; Xu, Siyan; Zhang, Xicheng
2010
A variational representation for random functionals on abstract Wiener spaces. Zbl 1194.60037
Zhang, Xicheng
2009
A stochastic representation for backward incompressible Navier-Stokes equations. Zbl 1201.60070
Zhang, Xicheng
2010
A regularity criterion for the solutions of 3D Navier-Stokes equations. Zbl 1147.35337
Zhang, Xicheng
2008
Stochastic Hamiltonian flows with singular coefficients. Zbl 1409.60093
Zhang, Xicheng
2018
Homeomorphism flows for non-Lipschitz stochastic differential equations with jumps. Zbl 1154.60333
Qiao, Huijie; Zhang, Xicheng
2008
Hölder estimates for nonlocal-diffusion equations with drifts. Zbl 1310.60103
Chen, Zhen-Qing; Zhang, Xicheng
2014
Fundamental solutions of nonlocal Hörmander’s operators. Zbl 1365.60064
Zhang, Xicheng
2016
Quasi-sure limit theorem of parabolic stochastic partial differential equations. Zbl 1057.60064
Zhang, Xicheng
2004
Degenerate irregular SDEs with jumps and application to integro-differential equations of Fokker-Planck type. Zbl 1287.60076
Zhang, Xicheng
2013
Large deviation principle for stochastic heat equation with memory. Zbl 1335.60028
Li, Yueling; Xie, Yingchao; Zhang, Xicheng
2015
Bound-preserving high-order schemes. Zbl 1368.65149
Xu, Z.; Zhang, X.
2017
Strong Feller properties for degenerate SDEs with jumps. Zbl 1346.60080
Dong, Zhao; Peng, Xuhui; Song, Yulin; Zhang, Xicheng
2016
Regularity of density for SDEs driven by degenerate Lévy noises. Zbl 1321.60131
Song, Yulin; Zhang, Xicheng
2015
Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454
Edirisinghe, N. C. P.; Zhang, X.
2008
$$L^q(L^p)$$-theory of stochastic differential equations. Zbl 1456.60153
Xia, Pengcheng; Xie, Longjie; Zhang, Xicheng; Zhao, Guohuan
2020
Singular Brownian diffusion processes. Zbl 1404.60087
Zhang, Xicheng; Zhao, Guohuan
2018
Smooth solutions of non-linear stochastic partial differential equations driven by multiplicative noises. Zbl 1230.60069
Zhang, Xicheng
2010
Stochastic functional differential equations driven by Lévy processes and quasi-linear partial integro-differential equations. Zbl 1266.60122
Zhang, Xicheng
2012
Heat kernel for fractional diffusion operators with perturbations. Zbl 1346.60111
Wang, Feng-Yu; Zhang, Xi-Cheng
2015
Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients. Zbl 1112.35102
Zhang, Xicheng
2006
Path continuity of fractional Dirichlet functionals. Zbl 1030.60044
Ren, Jiagang; Zhang, Xicheng
2003
Stochastic Monge-Kantorovich problem and its duality. Zbl 1295.60065
Zhang, Xicheng
2013
Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity. Zbl 1307.60089
Zhang, Xicheng
2014
An algorithm for solving the minimum-norm point problem over the intersection of a polytope and an affine set. Zbl 0986.90028
Fujishige, S.; Liu, Xiaojun; Zhang, X.
2000
Limit theorems for stochastic differential equations with discontinuous coefficients. Zbl 1227.60077
Ren, Jie; Zhang, Xicheng
2011
Schauder estimates for nonlocal kinetic equations and applications. Zbl 1448.35318
Hao, Zimo; Wu, Mingyan; Zhang, Xicheng
2020
A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901
Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P.
2015
Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870
Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P.
2015
Bismut type formulae for diffusion semigroups on Riemannian manifolds. Zbl 1106.58015
Cruzeiro, Ana Bela; Zhang, Xicheng
2006
Continuity modulus of stochastic homeomorphism flows for SDEs with non-Lipschitz coefficients. Zbl 1105.60040
Ren, Jiagang; Zhang, Xicheng
2006
Heat kernels for non-symmetric non-local operators. Zbl 1404.35221
Chen, Zhen-Qing; Zhang, Xicheng
2018
Finite dimensional approximation of Riemannian path space geometry. Zbl 1041.58013
Cruzeiro, Ana Bela; Zhang, Xicheng
2003
A discretized version of Krylov’s estimate and its applications. Zbl 1427.60112
Zhang, Xicheng
2019
Clark-Ocone formula and variational representation for Poisson functionals. Zbl 1179.60037
Zhang, Xicheng
2009
$$L^p$$-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. Zbl 1397.35072
Chen, Zhen-Qing; Zhang, Xicheng
2018
Fundamental solutions of nonlocal Hörmander’s operators. II. Zbl 1372.60098
Zhang, Xicheng
2017
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
Quasi-finite-time control for high-order nonlinear systems with mismatched disturbances via mapping filtered forwarding technique. Zbl 1358.93142
Zhang, X.; Huang, X. L.; Lu, H. Q.
2017
Relatively compact families of functionals on abstract Wiener space and applications. Zbl 1102.60052
Zhang, Xicheng
2006
Probability approaches to spatially homogeneous Boltzmann equations. Zbl 1126.76050
Zhang, Xicheng; Zhang, Xianwen
2007
Smoothness of indicator functions of some sets in Wiener spaces. Zbl 0958.60055
Airault, Hélène; Zhang, Xicheng
2000
Propagation of regularity in $$L^p$$-spaces for Kolmogorov-type hypoelliptic operators. Zbl 1430.42027
Chen, Zhen-Qing; Zhang, Xicheng
2019
Supports of measure solutions for spatially homogeneous Boltzmann equations. Zbl 1125.82029
Zhang, Xicheng; Zhang, Xianwen
2006
Variational approximation for Fokker-Planck equation on Riemannian manifold. Zbl 1171.58009
Zhang, Xicheng
2007
Relatively compact sets on abstract Wiener space. Zbl 1081.60531
Zhang, Xicheng
2005
On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346
Molin, Bernard; Zhang, X.; Huang, H.; Remy, F.
2018
Quasi-invariant stochastic flows of SDEs with non-smooth drifts on compact manifolds. Zbl 1217.60049
Zhang, Xicheng
2011
A tamed 3D Navier-Stokes equation in uniform $$C^2$$-domains. Zbl 1172.35465
Zhang, Xicheng
2009
Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019
Edirisinghe, N. C. P.; Zhang, X.
2010
Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Zbl 1469.60196
Röckner, Michael; Xie, Longjie; Zhang, Xicheng
2020
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift. Zbl 1469.60192
Menozzi, S.; Pesce, A.; Zhang, Xicheng
2021
Stochastic Lagrangian path for Leray’s solutions of 3D Navier-Stokes equations. Zbl 07303879
Zhang, Xicheng; Zhao, Guohuan
2021
Ergodicity of stochastic differential equations with jumps and singular coefficients. Zbl 1456.60154
Xie, Longjie; Zhang, Xicheng
2020
$$L^q(L^p)$$-theory of stochastic differential equations. Zbl 1456.60153
Xia, Pengcheng; Xie, Longjie; Zhang, Xicheng; Zhao, Guohuan
2020
Schauder estimates for nonlocal kinetic equations and applications. Zbl 1448.35318
Hao, Zimo; Wu, Mingyan; Zhang, Xicheng
2020
Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Zbl 1469.60196
Röckner, Michael; Xie, Longjie; Zhang, Xicheng
2020
Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139
Zhang, X.; Beranger, B.; Sisson, S. A.
2020
A discretized version of Krylov’s estimate and its applications. Zbl 1427.60112
Zhang, Xicheng
2019
Propagation of regularity in $$L^p$$-spaces for Kolmogorov-type hypoelliptic operators. Zbl 1430.42027
Chen, Zhen-Qing; Zhang, Xicheng
2019
Optimal gradient estimates of heat kernels of stable-like operators. Zbl 07081351
Du, Kai; Zhang, Xicheng
2019
The conducting ring viewed as a wormhole. Zbl 1421.78009
Curtright, T.; Alshal, H.; Baral, P.; Huang, S.; Liu, J.; Tamang, K.; Zhang, X.; Zhang, Y.
2019
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
2018
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
2018
Stochastic Hamiltonian flows with singular coefficients. Zbl 1409.60093
Zhang, Xicheng
2018
Singular Brownian diffusion processes. Zbl 1404.60087
Zhang, Xicheng; Zhao, Guohuan
2018
Heat kernels for non-symmetric non-local operators. Zbl 1404.35221
Chen, Zhen-Qing; Zhang, Xicheng
2018
$$L^p$$-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. Zbl 1397.35072
Chen, Zhen-Qing; Zhang, Xicheng
2018
On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346
Molin, Bernard; Zhang, X.; Huang, H.; Remy, F.
2018
Multidimensional singular stochastic differential equations. Zbl 1405.60082
Zhang, Xicheng
2018
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
2017
Bound-preserving high-order schemes. Zbl 1368.65149
Xu, Z.; Zhang, X.
2017
Fundamental solutions of nonlocal Hörmander’s operators. II. Zbl 1372.60098
Zhang, Xicheng
2017
Quasi-finite-time control for high-order nonlinear systems with mismatched disturbances via mapping filtered forwarding technique. Zbl 1358.93142
Zhang, X.; Huang, X. L.; Lu, H. Q.
2017
Stochastic integrals and BDG’s inequalities in Orlicz-type spaces. Zbl 1395.60059
Xie, Yingchao; Zhang, Xicheng
2017
Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Zbl 1345.60086
Chen, Zhen-Qing; Zhang, Xicheng
2016
Degenerate SDE with Hölder-Dini drift and non-Lipschitz noise coefficient. Zbl 1342.60093
Wang, Feng-Yu; Zhang, Xicheng
2016
Stochastic differential equations with Sobolev diffusion and singular drift and applications. Zbl 1353.60056
Zhang, Xicheng
2016
Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients. Zbl 1405.60081
Xie, Longjie; Zhang, Xicheng
2016
Fundamental solutions of nonlocal Hörmander’s operators. Zbl 1365.60064
Zhang, Xicheng
2016
Strong Feller properties for degenerate SDEs with jumps. Zbl 1346.60080
Dong, Zhao; Peng, Xuhui; Song, Yulin; Zhang, Xicheng
2016
Gradient estimates for SDEs driven by multiplicative Lévy noise. Zbl 1325.60099
Wang, Feng-Yu; Xu, Lihu; Zhang, Xicheng
2015
Harnack inequalities for SDEs driven by cylindrical $$\alpha$$-stable processes. Zbl 1319.60137
Wang, Linlin; Zhang, Xicheng
2015
Degenerate SDEs in Hilbert spaces with rough drifts. Zbl 1334.60115
Wang, Feng-Yu; Zhang, Xicheng
2015
Derivative formulae for SDEs driven by multiplicative $$\alpha$$-stable-like processes. Zbl 1322.60098
Wang, Linlin; Xie, Longjie; Zhang, Xicheng
2015
Large deviation principle for stochastic heat equation with memory. Zbl 1335.60028
Li, Yueling; Xie, Yingchao; Zhang, Xicheng
2015
Regularity of density for SDEs driven by degenerate Lévy noises. Zbl 1321.60131
Song, Yulin; Zhang, Xicheng
2015
Heat kernel for fractional diffusion operators with perturbations. Zbl 1346.60111
Wang, Feng-Yu; Zhang, Xi-Cheng
2015
A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901
Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P.
2015
Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870
Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P.
2015
Heat kernel estimates for critical fractional diffusion operators. Zbl 1309.47054
Xie, Longjie; Zhang, Xicheng
2014
Exponential ergodicity of stochastic Burgers equations driven by $$\alpha$$-stable processes. Zbl 1291.35279
Dong, Zhao; Xu, Lihu; Zhang, Xicheng
2014
Densities for SDEs driven by degenerate $$\alpha$$-stable processes. Zbl 1307.60090
Zhang, Xicheng
2014
Hölder estimates for nonlocal-diffusion equations with drifts. Zbl 1310.60103
Chen, Zhen-Qing; Zhang, Xicheng
2014
Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity. Zbl 1307.60089
Zhang, Xicheng
2014
A coupled finite difference material point method and its application in explosion simulation. Zbl 1356.80062
Cui, X. X.; Zhang, X.; Zhou, X.; Liu, Y.; Zhang, F.
2014
Probabilistic approach for semi-linear stochastic fractal equations. Zbl 1304.60075
Xie, Yingchao; Zhang, Qi; Zhang, Xicheng
2014
Quasi-sure convergence rate of Euler scheme for stochastic differential equations. Zbl 1313.60122
Huang, Wenliang; Zhang, Xicheng
2014
Derivative formulas and gradient estimates for SDEs driven by $$\alpha$$-stable processes. Zbl 1261.60060
Zhang, Xicheng
2013
$$L^p$$-maximal regularity of nonlocal parabolic equations and applications. Zbl 1288.35152
Zhang, Xicheng
2013
Stochastic differential equations with Sobolev drifts and driven by $$\alpha$$-stable processes. Zbl 1279.60074
Zhang, Xicheng
2013
Derivative formula and applications for degenerate diffusion semigroups. Zbl 1328.60141
Wang, Feng-Yu; Zhang, Xi-Cheng
2013
Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients. Zbl 1262.60056
Zhang, Xicheng
2013
Degenerate irregular SDEs with jumps and application to integro-differential equations of Fokker-Planck type. Zbl 1287.60076
Zhang, Xicheng
2013
Stochastic Monge-Kantorovich problem and its duality. Zbl 1295.60065
Zhang, Xicheng
2013
Well-posedness of fully nonlinear and nonlocal critical parabolic equations. Zbl 1263.35140
Zhang, Xicheng
2013
Stochastic Lagrangian particle approach to fractal Navier-Stokes equations. Zbl 1251.35203
Zhang, Xicheng
2012
Stochastic functional differential equations driven by Lévy processes and quasi-linear partial integro-differential equations. Zbl 1266.60122
Zhang, Xicheng
2012
Probabilistic approach for systems of second order quasi-linear parabolic PDEs. Zbl 1246.35216
Wang, Jinxia; Zhang, Xicheng
2012
Stochastic homeomorphism flows of SDEs with singular drifts and Sobolev diffusion coefficients. Zbl 1225.60099
Zhang, Xicheng
2011
Invariant measures of stochastic $$2D$$ Navier-Stokes equation driven by $$\alpha$$-stable processes. Zbl 1243.60052
Dong, Zhao; Xu, Lihu; Zhang, Xicheng
2011
Limit theorems for stochastic differential equations with discontinuous coefficients. Zbl 1227.60077
Ren, Jie; Zhang, Xicheng
2011
Quasi-invariant stochastic flows of SDEs with non-smooth drifts on compact manifolds. Zbl 1217.60049
Zhang, Xicheng
2011
Stochastic flows for nonlinear SPDEs driven by linear multiplicative space-time white noises. Zbl 1255.60107
Goldys, Benjamin; Zhang, Xicheng
2011
Stochastic partial differential equations with unbounded and degenerate coefficients. Zbl 1241.60033
Zhang, Xicheng
2011
Stochastic Volterra equations in Banach spaces and stochastic partial differential equation. Zbl 1189.60124
Zhang, Xicheng
2010
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Stochastic flows and Bismut formulas for stochastic Hamiltonian systems. Zbl 1200.60049
Zhang, Xicheng
2010
Stochastic flows of SDEs with irregular coefficients and stochastic transport equations. Zbl 1197.60057
Zhang, Xicheng
2010
Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112
Röckner, Michael; Zhang, Xicheng
2010
Exponential ergodicity of non-Lipschitz multivalued stochastic differential equations. Zbl 1202.60091
Ren, Jiagang; Wu, Jing; Zhang, Xicheng
2010
Large deviations for multivalued stochastic differential equations. Zbl 1204.60054
Ren, Jiagang; Xu, Siyan; Zhang, Xicheng
2010
A stochastic representation for backward incompressible Navier-Stokes equations. Zbl 1201.60070
Zhang, Xicheng
2010
Smooth solutions of non-linear stochastic partial differential equations driven by multiplicative noises. Zbl 1230.60069
Zhang, Xicheng
2010
Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019
Edirisinghe, N. C. P.; Zhang, X.
2010
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118
Röckner, Michael; Zhang, Xicheng
2009
Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060
Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng
2009
On stochastic evolution equations with non-Lipschitz coefficients. Zbl 1204.60059
Zhang, Xicheng
2009
Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417
Röckner, Michael; Zhang, Xicheng
2009
Exponential ergodicity of non-Lipschitz stochastic differential equations. Zbl 1154.60049
Zhang, Xicheng
2009
A variational representation for random functionals on abstract Wiener spaces. Zbl 1194.60037
Zhang, Xicheng
2009
Clark-Ocone formula and variational representation for Poisson functionals. Zbl 1179.60037
Zhang, Xicheng
2009
A tamed 3D Navier-Stokes equation in uniform $$C^2$$-domains. Zbl 1172.35465
Zhang, Xicheng
2009
Equipment scheduling problem under disruptions in mail processing and distribution centres. Zbl 1171.90413
Zhang, X.; Chakravarthy, A.; Gu, Q.
2009
Euler schemes and large deviations for stochastic Volterra equations with singular kernels. Zbl 1139.60329
Zhang, Xicheng
2008
Freidlin-Wentzell’s large deviations for stochastic evolution equations. Zbl 1143.60023
Ren, Jiagang; Zhang, Xicheng
2008
A regularity criterion for the solutions of 3D Navier-Stokes equations. Zbl 1147.35337
Zhang, Xicheng
2008
Homeomorphism flows for non-Lipschitz stochastic differential equations with jumps. Zbl 1154.60333
Qiao, Huijie; Zhang, Xicheng
2008
Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454
Edirisinghe, N. C. P.; Zhang, X.
2008
Skorohod problem and multivalued stochastic evolution equations in Banach spaces. Zbl 1117.60066
Zhang, Xicheng
2007
Non-Lipschitz backward stochastic Volterra type equations with jumps. Zbl 1203.60094
Wang, Zhidong; Zhang, Xicheng
2007
Regularities for semilinear stochastic partial differential equations. Zbl 1123.60050
Zhang, Xicheng
2007
Probability approaches to spatially homogeneous Boltzmann equations. Zbl 1126.76050
Zhang, Xicheng; Zhang, Xianwen
2007
Variational approximation for Fokker-Planck equation on Riemannian manifold. Zbl 1171.58009
Zhang, Xicheng
2007
One dimensional stochastic differential equations with distributional drifts. Zbl 1131.60056
He, Kai; Zhang, Xi-Cheng
2007
Regularity of local times of random fields. Zbl 1128.60040
Ren, Jiagang; Zhang, Xicheng
2007
Homeomorphism of solutions to backward SDEs and applications. Zbl 1110.60061
Qiao, Huijie; Zhang, Xicheng
2007
Kusuoka-Stroock formula on configuration space and regularities of local times with jumps. Zbl 1121.60059
Ren, Jiagang; Röckner, Michael; Zhang, Xicheng
2007
$$L^{p}$$-theory of semi-linear SPDEs on general measure spaces and applications. Zbl 1128.60307
Zhang, Xicheng
2006
Euler-Maruyama approximations for SDEs with non-Lipschitz coefficients and applications. Zbl 1090.60055
Zhang, Xicheng
2006
Non-Lipschitz stochastic differential equations driven by multi-parameter Brownian motions. Zbl 1108.60054
Zhang, Xicheng; Zhu, Jingyang
2006
...and 22 more Documents
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#### Cited by 588 Authors

 73 Zhang, Xicheng 33 Röckner, Michael 23 Wang, Feng-Yu 21 Liu, Wei 18 Ren, Jiagang 18 Xu, Lihu 17 Luo, Dejun 16 Xie, Longjie 14 Chen, Zhen-Qing 13 Huang, Xing 12 Duan, Jinqiao 12 Wang, Jian 12 Wu, Jing 12 Xie, Yingchao 12 Zhai, Jianliang 10 Dong, Zhao 9 Bao, Jianhai 9 Priola, Enrico 9 Yuan, Chenggui 9 Zhang, Tusheng S. 9 Zhu, RongChan 8 Bogachev, Vladimir Igorevich 8 Qiao, Huijie 8 Zhang, Hua 8 Zhu, Xiang-Chan 7 Huang, Jianhua 7 Liang, Zongxia 7 Lv, Guangying 7 Shaposhnikov, Stanislav V. 7 Song, Renming 7 Sun, Xiaobin 6 Flandoli, Franco 6 Gao, Hongjun 6 He, Kai 6 Maroulas, Vasileios 6 Peng, Xuhui 6 Song, Yulin 6 Wang, Tianxiao 6 Wei, Jinlong 6 Wu, Jianglun 6 Xiong, Jie 6 Xu, Siyan 6 Zhang, Rangrang 5 Budhiraja, Amarjit S. 5 Cattani, Carlo 5 Diop, Mamadou Abdoul 5 Dupuis, Paul G. 5 Fang, Shizan 5 Jentzen, Arnulf 5 Kim, KyeongHun 5 Kim, Panki 5 Mikulevicius, Remigijus 5 Ren, Panpan 5 Taniguchi, Takeshi 5 Wang, Ran 5 Xi, Fubao 5 Xu, Jie 5 Zhao, GuoHuan 4 Brzeźniak, Zdzisław 4 Cao, Guilan 4 Fan, Xiliang 4 Gubinelli, Massimiliano 4 Heydari, Mohammad Hossien 4 Hooshmandasl, Mohammad Reza 4 Jin, Peng 4 Kim, Ildoo 4 Li, Huaiqian 4 Li, Shihu 4 Liu, Jicheng 4 Menozzi, Stéphane 4 Trutnau, Gerald 4 Wu, Fan 4 Yan, Litan 4 Yin, Xiuwei 4 Yong, Jiongmin 4 Zheng, Yan 4 Zhu, Jiahui 3 Barbu, Viorel 3 Caraballo Garrido, Tomás 3 Chen, Peng 3 Conte, Dajana 3 D’Ambrosio, Raffaele 3 Debussche, Arnaud 3 Gao, Jianfang 3 Gulisashvili, Archil 3 Hao, Zimo 3 Hutzenthaler, Martin 3 Khodabin, Morteza 3 Kulczycki, Tadeusz 3 Kumagai, Takashi 3 Lai, Baishun 3 Ma, Xiaocui 3 Maleknejad, Khosrow 3 Malinowski, Marek T. 3 Malliavin, Paul 3 Miao, Changxing 3 Millet, Annie 3 Paternoster, Beatrice 3 Pei, Bin 3 Phonsom, C. ...and 488 more Authors
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#### Cited in 139 Serials

 53 Stochastic Processes and their Applications 39 Journal of Differential Equations 36 Journal of Mathematical Analysis and Applications 27 Stochastics and Dynamics 21 Statistics & Probability Letters 20 Journal of Functional Analysis 17 Stochastic Analysis and Applications 17 Journal of Theoretical Probability 15 Bulletin des Sciences Mathématiques 15 Journal of Evolution Equations 14 Science China. Mathematics 13 Frontiers of Mathematics in China 12 Potential Analysis 11 The Annals of Probability 10 Bernoulli 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Computers & Mathematics with Applications 9 Applied Mathematics and Optimization 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Acta Mathematica Sinica. English Series 9 Discrete and Continuous Dynamical Systems. Series B 8 Discrete and Continuous Dynamical Systems 8 Stochastics 7 Communications in Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Probability Theory and Related Fields 7 Stochastic and Partial Differential Equations. Analysis and Computations 6 The Annals of Applied Probability 6 SIAM Journal on Mathematical Analysis 6 Communications on Pure and Applied Analysis 5 Journal of Statistical Physics 5 Applied Mathematics and Computation 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Electronic Journal of Probability 5 Advances in Difference Equations 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Journal of Dynamics and Differential Equations 4 Doklady Mathematics 4 Journal of Mathematical Fluid Mechanics 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Osaka Journal of Mathematics 3 Acta Applicandae Mathematicae 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Communications in Mathematics and Statistics 2 Journal of Computational Physics 2 Nonlinearity 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Mathematika 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Electronic Communications in Probability 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Stochastic Analysis 2 Mathematical Control and Related Fields 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute 1 Studia Mathematica 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Tohoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Note di Matematica 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Theory of Probability and Mathematical Statistics ...and 39 more Serials
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#### Cited in 33 Fields

 554 Probability theory and stochastic processes (60-XX) 254 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 54 Operator theory (47-XX) 49 Ordinary differential equations (34-XX) 42 Dynamical systems and ergodic theory (37-XX) 39 Integral equations (45-XX) 38 Numerical analysis (65-XX) 19 Systems theory; control (93-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Potential theory (31-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Measure and integration (28-XX) 9 Real functions (26-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Biology and other natural sciences (92-XX) 6 Difference and functional equations (39-XX) 6 Functional analysis (46-XX) 3 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)