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Author ID: wu.jianglun Recent zbMATH articles by "Wu, Jianglun"
Published as: Wu, Jiang-Lun; Wu, Jianglun; Wu, J.-L.; Wu, Jiang Lun; Wu, JiangLun
Homepage: https://www.swansea.ac.uk/staff/j.l.wu/
External Links: ORCID · ResearchGate
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

Publications by Year

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 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