Edit Profile (opens in new tab) Wu, Jianglun Co-Author Distance Author ID: wu.jianglun Published as: Wu, Jiang-Lun; Wu, Jianglun; Wu, J.-L.; Wu, Jiang Lun; Wu, JiangLun more...less Homepage: https://www.swansea.ac.uk/staff/j.l.wu/ External Links: ORCID · ResearchGate Documents Indexed: 123 Publications since 1990, including 15 Additional arXiv Preprints Co-Authors: 68 Co-Authors with 110 Joint Publications 2,917 Co-Co-Authors all top 5 Co-Authors 10 single-authored 20 Albeverio, Sergio A. 14 Lv, Guangying 11 Shen, Guangjun 10 Gottschalk, Hanno 10 Wei, Jinlong 8 Gao, Hongjun 6 Qiao, Huijie 6 Yang, Wei 6 Zhou, Guoli 5 Truman, Aubrey 5 Xu, Yong 5 Yin, Xiuwei 4 Dong, Zhao 4 Pei, Bin 4 Wang, Feng-Yu 3 Bennett, Jonathan 3 Guo, Boling 3 Lan, Guangqiang 3 Ren, Panpan 3 Rüdiger, Barbara 2 Duan, Jinqiao 2 Fan, Xiliang 2 Jacob, Niels 2 Li, Jingjie 2 Lin, Boming 2 Osswald, Horst 2 Potrykus, Alexander 2 Song, Jiao 2 Song, Jie 2 Sun, Yeneng 2 Wang, Lidan 2 Wang, Miao 2 Xiang, Jie 2 Xiao, Ruidong 2 Zhang, Rangrang 2 Zhang, Tusheng S. 2 Zou, Guang’an 1 Applebaum, David B. 1 Becker, Claas 1 Berger, Josef 1 Brzeźniak, Zdzisław 1 Chin, Yoo-Mi 1 Guo, Pengjiang 1 Guo, Pengjing 1 Guo, Xiao 1 Han, Min 1 Huang, Fangzhou 1 Huang, Qiao 1 Li, Lin 1 Lian, Qiqi 1 Liu, Yong 1 Privault, Nicolas 1 Sun, De 1 Tian, Rongrong 1 Wang, Yao 1 Wu, Bo 1 Wu, Panyu 1 Xie, Bin 1 Xu, Jie 1 Xu, Lihu 1 Xu, Wentao 1 Xu, Yongfeng 1 Yang, Fengxia 1 Yue, Hongge 1 Zhai, Jianliang 1 Zhan, Weijun 1 Zhang, Guang 1 Zhang, Hai 1 Zhang, Tingting all top 5 Serials 7 Statistics & Probability Letters 6 Journal of Mathematical Analysis and Applications 5 Acta Applicandae Mathematicae 5 Applied Mathematics Letters 5 Frontiers of Mathematics in China 4 Pure and Applied Mathematics 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Stochastic Processes and their Applications 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems. Series B 3 Stochastics and Dynamics 2 Reports on Mathematical Physics 2 Acta Mathematica Sinica 2 Journal of Functional Analysis 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Acta Mathematica Scientia 2 Potential Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Mathematical Physics 1 Electronics Letters 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastics and Stochastics Reports 1 IEE Proceedings. Control Theory and Applications 1 Annales Mathématiques Blaise Pascal 1 Random Operators and Stochastic Equations 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Probability, Uncertainty and Quantitative Risk 1 Communications in Mathematical Analysis and Applications all top 5 Fields 101 Probability theory and stochastic processes (60-XX) 35 Partial differential equations (35-XX) 14 Quantum theory (81-XX) 10 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 7 Mathematical logic and foundations (03-XX) 7 Fluid mechanics (76-XX) 6 Measure and integration (28-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 718 times in 512 Documents Cited by ▼ Year ▼ Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050 Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun 84 2010 Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055 Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng 72 1998 Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102 Xu, Yong; Pei, Bin; Wu, Jiang-Lun 48 2017 Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 37 2000 Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1433.60040 Pei, Bin; Xu, Yong; Wu, Jiang-Lun 33 2020 Two-time-scales hyperbolic-parabolic equations driven by Poisson random measures: existence, uniqueness and averaging principles. Zbl 1387.60102 Pei, Bin; Xu, Yong; Wu, Jiang-Lun 30 2017 Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises. Zbl 1390.60252 Zou, Guang-an; Lv, Guangying; Wu, Jiang-Lun 28 2018 Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048 Applebaum, David; Wu, Jiang-Lun 25 2000 Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions. Zbl 0870.60038 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 22 1996 Log-Harnack inequality for stochastic Burgers equations and applications. Zbl 1227.60079 Wang, Feng-Yu; Wu, Jiang-Lun; Xu, Lihu 20 2011 Stochastic Burgers equation with Lévy space-time white noise. Zbl 1066.76021 Truman, Aubrey; Wu, Jiang-Lun 19 2003 Fractal Burgers’ equation driven by Lévy noise. Zbl 1089.60039 Truman, Aubrey; Wu, Jiang-Lun 18 2006 Large deviation principles for first-order scalar conservation laws with stochastic forcing. Zbl 1465.60025 Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng 17 2020 Models of local relativistic quantum fields with indefinite metric (in all dimensions). Zbl 0898.46068 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 16 1997 New sufficient conditions of existence, moment estimations and non confluence for SDEs with non-Lipschitzian coefficients. Zbl 1314.60116 Lan, Guangqiang; Wu, Jiang-Lun 15 2014 Solving a non-linear stochastic pseudo-differential equation of Burgers type. Zbl 1203.60086 Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun 15 2010 Euclidean random fields obtained by convolution from generalized white noise. Zbl 0841.60091 Albeverio, Sergio; Wu, Jianglun 12 1995 On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws. Zbl 1105.60043 Truman, Aubrey; Wu, Jiang-Lun 12 2006 On a Burgers type nonlinear equation perturbed by a pure jump Lévy noise in \(\mathbb R^d\). Zbl 1247.60096 Wu, Jiang-Lun; Xie, Bin 11 2012 A link of stochastic differential equations to nonlinear parabolic equations. Zbl 1260.60113 Truman, Aubrey; Wang, FengYu; Wu, JiangLun; Yang, Wei 11 2012 BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 10 2019 Analytic and probabilistic aspects of Lévy processes and fields in quantum theory. Zbl 0979.60035 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 8 2001 Characterizing the path-independence of the Girsanov transformation for non-Lipschitz SDEs with jumps. Zbl 1350.60051 Qiao, Huijie; Wu, Jiang-Lun 8 2016 Averaging principle for fractional heat equations driven by stochastic measures. Zbl 1444.60067 Shen, Guangjun; Wu, Jiang-Lun; Yin, Xiuwei 8 2020 Compactness of Schrödinger semigroups with unbounded below potentials. Zbl 1156.47043 Wang, Feng-Yu; Wu, Jiang-Lun 7 2008 On stochastic differential equations and a generalised Burgers equation. Zbl 1390.60222 Wu, Jiang-Lun; Yang, Wei 7 2012 On nonstandard product measure spaces. Zbl 1014.03059 Berger, Josef; Osswald, Horst; Sun, Yeneng; Wu, Jiang-Lun 7 2002 Model selection and estimation in high dimensional regression models with group SCAD. Zbl 1328.62241 Guo, Xiao; Zhang, Hai; Wang, Yao; Wu, Jiang-Lun 6 2015 Least squares estimator for path-dependent McKean-Vlasov SDEs via discrete-time observations. Zbl 1499.62287 Ren, Panpan; Wu, Jiang-Lun 6 2019 Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations. Zbl 1379.35351 Wu, Bo; Wu, Jiang-Lun 5 2018 On the path-independence of the Girsanov transformation for stochastic evolution equations with jumps in Hilbert spaces. Zbl 1455.60086 Qiao, Huijie; Wu, Jiang-Lun 5 2019 On drift parameter estimation for mean-reversion type stochastic differential equations with discrete observations. Zbl 1346.60084 Li, Jingjie; Wu, Jiang-Lun 5 2016 On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132 Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun 5 2016 On the regularity of weak solutions to space-time fractional stochastic heat equations. Zbl 1398.60080 Zou, Guang-an; Lv, Guangying; Wu, Jiang-Lun 5 2018 On \(L^p\)-strong convergence of an averaging principle for non-Lipschitz slow-fast systems with Lévy noise. Zbl 1477.60093 Xu, Yong; Yue, Hongge; Wu, Jiang-Lun 5 2021 Poisson stochastic integration in Hilbert spaces. Zbl 1158.60351 Privault, Nicolas; Wu, Jiang-Lun 4 1999 Solving a nonlinear pseudo-differential equation of Burgers type. Zbl 1166.35389 Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun 4 2008 Necessary and sufficient conditions for path-independence of Girsanov transformation for infinite-dimensional stochastic evolution equations. Zbl 1312.60084 Wang, Miao; Wu, Jiang-Lun 4 2014 SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial \(S\)-matrix. Zbl 1004.60069 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 4 2002 Pricing CDO tranches in an intensity based model with the mean reversion approach. Zbl 1202.91338 Wu, Jiang-Lun; Yang, Wei 4 2010 On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations. Zbl 1501.60034 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 4 2023 On the regularity of stochastic difference equations in hyperfinite- dimensional vector spaces and applications to \(\mathcal{D}'\)-valued stochastic differential equations. Zbl 0819.60043 Wu, Jiang-Lun 3 1994 Nonstandard flat integral representation of the free Euclidean field and a large deviation bound for the exponential interaction. Zbl 0864.46046 Albeverio, Sergio; Wu, Jiang-Lun 3 1995 A mathematical flat integral realization and a large deviation result for the free Euclidean field. Zbl 0864.28008 Albeverio, Sergio; Wu, Jiang-Lun 3 1996 An optimal control problem associated with SDEs driven by Lévy-type processes. Zbl 1144.60036 Bennett, Jonathan; Wu, Jiang-Lun 2 2008 Scattering behaviour of quantum vector fields obtained from Euclidean covariant SPDEs. Zbl 0964.81047 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 2 1999 Euclidean random fields, pseudodifferential operators, and Wightman functions. Zbl 0932.60058 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 2 1996 On the continuity of pathwise solutions to Langevin equations in infinite dimensions. Zbl 1068.60055 Osswald, Horst; Wu, Jiang-Lun 2 2004 Valuation of synthetic CDOs with affine jump-diffusion processes involving Lévy stable distributions. Zbl 1305.91233 Wu, Jiang-Lun; Yang, Wei 2 2013 Stochastic averaging principle for distribution dependent stochastic differential equations. Zbl 1490.60176 Shen, Guangjun; Song, Jie; Wu, Jiang-Lun 2 2022 On a generalized population dynamics equation with environmental noise. Zbl 1466.60122 Tian, Rongrong; Wei, Jinlong; Wu, Jiang-Lun 2 2021 An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise. Zbl 1517.60068 Shen, Guangjun; Wu, Jiang-Lun; Xiao, Ruidong; Yin, Xiuwei 2 2022 The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation. Zbl 1491.60110 Yin, Xiuwei; Shen, Guangjun; Wu, Jiang-Lun 2 2022 Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition. Zbl 1347.60079 Lv, Guangying; Wu, Jiang-Lun 2 2016 Path independence of the additive functionals for Mckean-Vlasov stochastic differential equations with jumps. Zbl 1478.60195 Qiao, Huijie; Wu, Jiang-Lun 2 2021 An averaging principle for stochastic differential delay equations driven by time-changed Lévy noise. Zbl 1513.34289 Shen, Guangjun; Xu, Wentao; Wu, Jiang-Lun 2 2022 Maximum principles for nonlocal parabolic Waldenfels operators. Zbl 1467.35073 Huang, Qiao; Duan, Jinqiao; Wu, Jiang-Lun 2 2019 Global well-posedness and large deviations for 3D stochastic Burgers equations. Zbl 1431.35261 Zhang, Rangrang; Zhou, Guoli; Guo, Boling; Wu, Jianglun 2 2020 Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1498.60238 Shen, Guangjun; Xiang, Jie; Wu, Jiang-Lun 2 2022 Radon extension of cylindrical measures on weak dual multi-Hilbertian spaces and the generalized Bochner theorem. Zbl 0771.60006 Wu, Jianglun 1 1993 A hyperfinite flat integral for generalized random fields. Zbl 1116.60019 Wu, Jiang-Lun 1 2007 Stochastic differential equations with polar-decomposed Lévy measures and applications to stochastic optimization. Zbl 1135.60324 Bennett, Jonathan; Wu, Jiang-Lun 1 2007 Remarks on some new models of interacting quantum fields with indefinite metric. Zbl 0906.46057 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 1 1997 Martingale property of empirical processes. Zbl 1110.60042 Albeverio, Sergio; Sun, Yeneng; Wu, Jiang-Lun 1 2007 Optimal control with regional pole constraints via the mapping theory. Zbl 0849.93028 Wu, J.-L.; Lee, T.-T. 1 1995 Nonstandard construction of stable type Euclidean random field measures. Zbl 1009.28012 Albeverio, Sergio; Wu, Jiang-Lun 1 2001 Least squares estimation for path-distribution dependent stochastic differential equations. Zbl 1510.62131 Ren, Panpan; Wu, Jiang-Lun 1 2021 Density estimates for the solutions of backward stochastic differential equations driven by Gaussian processes. Zbl 1470.60151 Fan, Xiliang; Wu, Jiang-Lun 1 2021 Global well-posedness of 2D stochastic Burgers equations with multiplicative noise. Zbl 1483.60096 Zhou, Guoli; Wang, Lidan; Wu, Jiang-Lun 1 2022 Hölder estimates for solutions of stochastic nonlocal diffusion equations. Zbl 1498.60229 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 1 2019 Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions. Zbl 1393.60069 Lv, Guangying; Wu, Jiang-Lun 1 2018 Estimation of intrinsic growth factors in a class of stochastic population model. Zbl 1415.60064 Li, Jingjie; Wu, Jiang-Lun; Zhang, Guang 1 2019 Global well-posedness of stochastic nematic liquid crystals with random initial and boundary conditions driven by multiplicative noise. Zbl 1513.76029 Wang, Lidan; Wu, Jiang-Lun; Zhou, Guoli 1 2023 On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations. Zbl 1501.60034 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 4 2023 Global well-posedness of stochastic nematic liquid crystals with random initial and boundary conditions driven by multiplicative noise. Zbl 1513.76029 Wang, Lidan; Wu, Jiang-Lun; Zhou, Guoli 1 2023 Stochastic averaging principle for distribution dependent stochastic differential equations. Zbl 1490.60176 Shen, Guangjun; Song, Jie; Wu, Jiang-Lun 2 2022 An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise. Zbl 1517.60068 Shen, Guangjun; Wu, Jiang-Lun; Xiao, Ruidong; Yin, Xiuwei 2 2022 The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation. Zbl 1491.60110 Yin, Xiuwei; Shen, Guangjun; Wu, Jiang-Lun 2 2022 An averaging principle for stochastic differential delay equations driven by time-changed Lévy noise. Zbl 1513.34289 Shen, Guangjun; Xu, Wentao; Wu, Jiang-Lun 2 2022 Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1498.60238 Shen, Guangjun; Xiang, Jie; Wu, Jiang-Lun 2 2022 Global well-posedness of 2D stochastic Burgers equations with multiplicative noise. Zbl 1483.60096 Zhou, Guoli; Wang, Lidan; Wu, Jiang-Lun 1 2022 On \(L^p\)-strong convergence of an averaging principle for non-Lipschitz slow-fast systems with Lévy noise. Zbl 1477.60093 Xu, Yong; Yue, Hongge; Wu, Jiang-Lun 5 2021 On a generalized population dynamics equation with environmental noise. Zbl 1466.60122 Tian, Rongrong; Wei, Jinlong; Wu, Jiang-Lun 2 2021 Path independence of the additive functionals for Mckean-Vlasov stochastic differential equations with jumps. Zbl 1478.60195 Qiao, Huijie; Wu, Jiang-Lun 2 2021 Least squares estimation for path-distribution dependent stochastic differential equations. Zbl 1510.62131 Ren, Panpan; Wu, Jiang-Lun 1 2021 Density estimates for the solutions of backward stochastic differential equations driven by Gaussian processes. Zbl 1470.60151 Fan, Xiliang; Wu, Jiang-Lun 1 2021 Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1433.60040 Pei, Bin; Xu, Yong; Wu, Jiang-Lun 33 2020 Large deviation principles for first-order scalar conservation laws with stochastic forcing. Zbl 1465.60025 Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng 17 2020 Averaging principle for fractional heat equations driven by stochastic measures. Zbl 1444.60067 Shen, Guangjun; Wu, Jiang-Lun; Yin, Xiuwei 8 2020 Global well-posedness and large deviations for 3D stochastic Burgers equations. Zbl 1431.35261 Zhang, Rangrang; Zhou, Guoli; Guo, Boling; Wu, Jianglun 2 2020 BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. Zbl 1427.60129 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 10 2019 Least squares estimator for path-dependent McKean-Vlasov SDEs via discrete-time observations. Zbl 1499.62287 Ren, Panpan; Wu, Jiang-Lun 6 2019 On the path-independence of the Girsanov transformation for stochastic evolution equations with jumps in Hilbert spaces. Zbl 1455.60086 Qiao, Huijie; Wu, Jiang-Lun 5 2019 Maximum principles for nonlocal parabolic Waldenfels operators. Zbl 1467.35073 Huang, Qiao; Duan, Jinqiao; Wu, Jiang-Lun 2 2019 Hölder estimates for solutions of stochastic nonlocal diffusion equations. Zbl 1498.60229 Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun 1 2019 Estimation of intrinsic growth factors in a class of stochastic population model. Zbl 1415.60064 Li, Jingjie; Wu, Jiang-Lun; Zhang, Guang 1 2019 Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises. Zbl 1390.60252 Zou, Guang-an; Lv, Guangying; Wu, Jiang-Lun 28 2018 Characterising the path-independent property of the Girsanov density for degenerated stochastic differential equations. Zbl 1379.35351 Wu, Bo; Wu, Jiang-Lun 5 2018 On the regularity of weak solutions to space-time fractional stochastic heat equations. Zbl 1398.60080 Zou, Guang-an; Lv, Guangying; Wu, Jiang-Lun 5 2018 Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions. Zbl 1393.60069 Lv, Guangying; Wu, Jiang-Lun 1 2018 Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102 Xu, Yong; Pei, Bin; Wu, Jiang-Lun 48 2017 Two-time-scales hyperbolic-parabolic equations driven by Poisson random measures: existence, uniqueness and averaging principles. Zbl 1387.60102 Pei, Bin; Xu, Yong; Wu, Jiang-Lun 30 2017 Characterizing the path-independence of the Girsanov transformation for non-Lipschitz SDEs with jumps. Zbl 1350.60051 Qiao, Huijie; Wu, Jiang-Lun 8 2016 On drift parameter estimation for mean-reversion type stochastic differential equations with discrete observations. Zbl 1346.60084 Li, Jingjie; Wu, Jiang-Lun 5 2016 On a stochastic nonlocal conservation law in a bounded domain. Zbl 1345.35132 Lv, Guangying; Duan, Jinqiao; Gao, Hongjun; Wu, Jiang-Lun 5 2016 Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition. Zbl 1347.60079 Lv, Guangying; Wu, Jiang-Lun 2 2016 Model selection and estimation in high dimensional regression models with group SCAD. Zbl 1328.62241 Guo, Xiao; Zhang, Hai; Wang, Yao; Wu, Jiang-Lun 6 2015 New sufficient conditions of existence, moment estimations and non confluence for SDEs with non-Lipschitzian coefficients. Zbl 1314.60116 Lan, Guangqiang; Wu, Jiang-Lun 15 2014 Necessary and sufficient conditions for path-independence of Girsanov transformation for infinite-dimensional stochastic evolution equations. Zbl 1312.60084 Wang, Miao; Wu, Jiang-Lun 4 2014 Valuation of synthetic CDOs with affine jump-diffusion processes involving Lévy stable distributions. Zbl 1305.91233 Wu, Jiang-Lun; Yang, Wei 2 2013 On a Burgers type nonlinear equation perturbed by a pure jump Lévy noise in \(\mathbb R^d\). Zbl 1247.60096 Wu, Jiang-Lun; Xie, Bin 11 2012 A link of stochastic differential equations to nonlinear parabolic equations. Zbl 1260.60113 Truman, Aubrey; Wang, FengYu; Wu, JiangLun; Yang, Wei 11 2012 On stochastic differential equations and a generalised Burgers equation. Zbl 1390.60222 Wu, Jiang-Lun; Yang, Wei 7 2012 Log-Harnack inequality for stochastic Burgers equations and applications. Zbl 1227.60079 Wang, Feng-Yu; Wu, Jiang-Lun; Xu, Lihu 20 2011 Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Zbl 1197.60050 Albeverio, Sergio; Brzeźniak, Zdzisław; Wu, Jiang-Lun 84 2010 Solving a non-linear stochastic pseudo-differential equation of Burgers type. Zbl 1203.60086 Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun 15 2010 Pricing CDO tranches in an intensity based model with the mean reversion approach. Zbl 1202.91338 Wu, Jiang-Lun; Yang, Wei 4 2010 Compactness of Schrödinger semigroups with unbounded below potentials. Zbl 1156.47043 Wang, Feng-Yu; Wu, Jiang-Lun 7 2008 Solving a nonlinear pseudo-differential equation of Burgers type. Zbl 1166.35389 Jacob, Niels; Potrykus, Alexander; Wu, Jiang-Lun 4 2008 An optimal control problem associated with SDEs driven by Lévy-type processes. Zbl 1144.60036 Bennett, Jonathan; Wu, Jiang-Lun 2 2008 A hyperfinite flat integral for generalized random fields. Zbl 1116.60019 Wu, Jiang-Lun 1 2007 Stochastic differential equations with polar-decomposed Lévy measures and applications to stochastic optimization. Zbl 1135.60324 Bennett, Jonathan; Wu, Jiang-Lun 1 2007 Martingale property of empirical processes. Zbl 1110.60042 Albeverio, Sergio; Sun, Yeneng; Wu, Jiang-Lun 1 2007 Fractal Burgers’ equation driven by Lévy noise. Zbl 1089.60039 Truman, Aubrey; Wu, Jiang-Lun 18 2006 On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws. Zbl 1105.60043 Truman, Aubrey; Wu, Jiang-Lun 12 2006 On the continuity of pathwise solutions to Langevin equations in infinite dimensions. Zbl 1068.60055 Osswald, Horst; Wu, Jiang-Lun 2 2004 Stochastic Burgers equation with Lévy space-time white noise. Zbl 1066.76021 Truman, Aubrey; Wu, Jiang-Lun 19 2003 On nonstandard product measure spaces. Zbl 1014.03059 Berger, Josef; Osswald, Horst; Sun, Yeneng; Wu, Jiang-Lun 7 2002 SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial \(S\)-matrix. Zbl 1004.60069 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 4 2002 Analytic and probabilistic aspects of Lévy processes and fields in quantum theory. Zbl 0979.60035 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 8 2001 Nonstandard construction of stable type Euclidean random field measures. Zbl 1009.28012 Albeverio, Sergio; Wu, Jiang-Lun 1 2001 Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096 Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun 37 2000 Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048 Applebaum, David; Wu, Jiang-Lun 25 2000 Poisson stochastic integration in Hilbert spaces. Zbl 1158.60351 Privault, Nicolas; Wu, Jiang-Lun 4 1999 Scattering behaviour of quantum vector fields obtained from Euclidean covariant SPDEs. Zbl 0964.81047 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 2 1999 Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055 Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng 72 1998 Models of local relativistic quantum fields with indefinite metric (in all dimensions). Zbl 0898.46068 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 16 1997 Remarks on some new models of interacting quantum fields with indefinite metric. Zbl 0906.46057 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 1 1997 Convoluted generalized white noise, Schwinger functions and their analytic continuation to Wightman functions. Zbl 0870.60038 Albeverio, Sergio; Gottschalk, Hanno; Wu, Jiang-Lun 22 1996 A mathematical flat integral realization and a large deviation result for the free Euclidean field. Zbl 0864.28008 Albeverio, Sergio; Wu, Jiang-Lun 3 1996 Euclidean random fields, pseudodifferential operators, and Wightman functions. Zbl 0932.60058 Albeverio, S.; Gottschalk, H.; Wu, J.-L. 2 1996 Euclidean random fields obtained by convolution from generalized white noise. Zbl 0841.60091 Albeverio, Sergio; Wu, Jianglun 12 1995 Nonstandard flat integral representation of the free Euclidean field and a large deviation bound for the exponential interaction. Zbl 0864.46046 Albeverio, Sergio; Wu, Jiang-Lun 3 1995 Optimal control with regional pole constraints via the mapping theory. Zbl 0849.93028 Wu, J.-L.; Lee, T.-T. 1 1995 On the regularity of stochastic difference equations in hyperfinite- dimensional vector spaces and applications to \(\mathcal{D}'\)-valued stochastic differential equations. Zbl 0819.60043 Wu, Jiang-Lun 3 1994 Radon extension of cylindrical measures on weak dual multi-Hilbertian spaces and the generalized Bochner theorem. Zbl 0771.60006 Wu, Jianglun 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 579 Authors 48 Wu, Jianglun 23 Xu, Yong 21 Duan, Jinqiao 18 Pei, Bin 16 Albeverio, Sergio A. 15 Lv, Guangying 13 Manna, Utpal 13 Wei, Jinlong 11 Brzeźniak, Zdzisław 11 Liu, Junfeng 11 Shen, Guangjun 10 Gao, Hongjun 10 Razafimandimby, Paul André 9 Dong, Zhao 9 Hausenblas, Erika 9 Liu, Wei 9 Qiao, Huijie 9 Wang, Feng-Yu 9 Xie, Yingchao 9 Zhang, Tusheng S. 8 Guo, Zhongkai 8 Xie, Bin 8 Xu, Lihu 8 Xu, Wei 7 Li, Shihu 7 Mukherjee, Debopriya 7 Sun, Xiaobin 7 Wang, Jian 7 Zhai, Jianliang 7 Zhang, Rangrang 6 Huang, Jianhua 6 Jiang, Yiming 6 Radchenko, Vadym Mykolaĭovych 6 Sango, Mamadou 6 Yan, Litan 6 Zou, Guang’an 5 Abouagwa, Mahmoud 5 Deugoue, Gabriel 5 Gottschalk, Hanno 5 Hong, Wei 5 Hu, Junhao 5 Mohan, Manil Thankamani 5 Osswald, Horst 5 Priola, Enrico 5 Shen, Tianlong 5 Smii, Boubaker 5 Sun, Yeneng 5 Yuan, Chenggui 4 Huang, Qiao 4 Liu, Jiankang 4 Ren, Panpan 4 Sandrić, Nikola 4 Shi, KeHua 4 Tudor, Ciprian A. 4 Wang, Ran 4 Wang, Yongjin 4 Yin, Xiuwei 4 Yoshida, Minoru W. 4 Zabczyk, Jerzy 4 Zhou, Guoli 3 Ahmed, Hamdy M. 3 Balan, Raluca M. 3 Bennett, Jonathan 3 Bo, Lijun 3 Chen, Xin 3 Cui, Jing 3 Han, Min 3 Huang, Zhiyuan 3 Jacob, Niels 3 Jidjou Moghomye, B. 3 Lan, Guangqiang 3 Li, Chujin 3 Li, Ji 3 Li, Zhi 3 Luo, Danfeng 3 Mandrekar, Vidyadhar S. 3 Motyl, Elżbieta 3 Nguyen Huy Tuan 3 Panda, Akash Ashirbad 3 Riedle, Markus 3 Röckner, Michael 3 Rüdiger, Barbara 3 Sun, Xichao 3 Temam, Roger Meyer 3 Tian, Rongrong 3 Wang, Ruifang 3 Wang, Suxin 3 Wang, Weifeng 3 Wang, Wenya 3 Wang, Xiao 3 Xia, Fang 3 Xiao, Ruidong 3 Xie, Longjie 3 Xu, Wenjing 3 Yin, George Gang 3 Yue, Hongge 3 Zúñiga-Galindo, Wilson A. 2 Applebaum, David B. 2 Arapostathis, Aristotle 2 Bai, Yuzhen ...and 479 more Authors all top 5 Cited in 150 Serials 26 Journal of Mathematical Analysis and Applications 22 Journal of Differential Equations 20 Stochastic Analysis and Applications 19 Statistics & Probability Letters 17 Applied Mathematics Letters 17 Stochastic Processes and their Applications 16 Stochastics and Dynamics 12 Stochastics 11 Journal of Functional Analysis 11 Journal of Theoretical Probability 11 Potential Analysis 11 Advances in Difference Equations 10 Journal of Mathematical Physics 10 Discrete and Continuous Dynamical Systems. Series B 9 Frontiers of Mathematics in China 8 Applied Mathematics and Computation 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Communications on Pure and Applied Analysis 7 Acta Mathematica Sinica. English Series 7 Acta Mathematica Scientia. Series B. (English Edition) 6 Applicable Analysis 6 Applied Mathematics and Optimization 5 Communications in Mathematical Physics 5 Reviews in Mathematical Physics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 The Annals of Applied Probability 5 Chaos 5 Journal of Mathematical Fluid Mechanics 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Computers & Mathematics with Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Chaos, Solitons and Fractals 4 Journal of Computational and Applied Mathematics 4 Bernoulli 4 Science China. Mathematics 4 Modern Stochastics. Theory and Applications 3 Journal of the Franklin Institute 3 Journal of Statistical Physics 3 Acta Applicandae Mathematicae 3 Probability Theory and Related Fields 3 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Random Operators and Stochastic Equations 3 Bulletin des Sciences Mathématiques 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Fractional Calculus & Applied Analysis 3 Mathematical Control and Related Fields 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Reports on Mathematical Physics 2 Illinois Journal of Mathematics 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Probability and Mathematical Statistics 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Science in China. Series A 2 Applied Mathematical Modelling 2 Journal of Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Complexity 2 Electronic Journal of Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete Dynamics in Nature and Society 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Journal of Hyperbolic Differential Equations 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Probability Surveys 2 Journal of Function Spaces 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 BIT 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B ...and 50 more Serials all top 5 Cited in 37 Fields 438 Probability theory and stochastic processes (60-XX) 190 Partial differential equations (35-XX) 60 Ordinary differential equations (34-XX) 46 Fluid mechanics (76-XX) 36 Operator theory (47-XX) 33 Dynamical systems and ergodic theory (37-XX) 31 Numerical analysis (65-XX) 27 Quantum theory (81-XX) 24 Real functions (26-XX) 21 Systems theory; control (93-XX) 17 Statistics (62-XX) 16 Functional analysis (46-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of particles and systems (70-XX) 11 Biology and other natural sciences (92-XX) 9 Mathematical logic and foundations (03-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Measure and integration (28-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Integral equations (45-XX) 4 Geophysics (86-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Citations by Year