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KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:  Ji, Shaolin;  Kong, Chuiliu;  Sun, Chuanfeng;  Zhang, Ji-Feng
收藏  |  浏览/下载:124/0  |  提交时间:2022/04/02
Kalman-Bucy filtering  minimum mean square estimator  drift uncertainty  convex operator  minimax theorem  backward stochastic differential equation  
Backward Stochastic Differential Equations Driven byG-Brownian Motion with Double Reflections 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2020, 页码: 30
作者:  Li, Hanwu;  Song, Yongsheng
收藏  |  浏览/下载:141/0  |  提交时间:2021/01/14
G-expectation  Reflected backward SDE  Approximate Skorohod condition  
The Navier-Stokes-alpha equation via forward-backward stochastic differential systems 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 1, 页码: 1-28
作者:  Liu, Guoping
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载:541/166  |  提交时间:2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
The Landis-Oleinik conjecture in the exterior domain 期刊论文
ADVANCES IN MATHEMATICS, 2016, 卷号: 302, 页码: 190-230
作者:  Wu, Jie;  Zhang, Liqun
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Carleman estimates  Unique continuation  Backward uniqueness  Landis and Oleinik  Parabolic equation  
Backward uniqueness for parabolic operators with variable coefficients in a half space 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 卷号: 18, 期号: 1, 页码: 38
作者:  Wu, Jie;  Zhang, Liqun
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Carleman estimates  backward uniqueness  Landis and Oleinik  parabolic operator  variable coefficient  
G-expectation weighted Sobolev spaces, backward SDE and path dependent PDE 期刊论文
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2015, 卷号: 67, 期号: 4, 页码: 1725-1757
作者:  Peng, Shige;  Song, Yongsheng
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
backward SDEs  partial differential equations  path dependent PDEs  G-expectation  G-martingale  Sobolev space  G-Sobolev space  
Reflected BSDEs with random default time and related mixed optimal stopping-control problems 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 1, 页码: 165-178
作者:  Guo Dongmei;  Xu Xiaoming
收藏  |  浏览/下载:102/0  |  提交时间:2021/01/14
STOCHASTIC DIFFERENTIAL-EQUATIONS  RISK  backward stochastic differential equation  random default time  mixed optimal stopping-control problem  
Sobolev solution for semilinear PDE with obstacle under monotonicity condition 期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2008, 卷号: 13, 页码: 1035-1067
作者:  Matoussi, Anis;  Xu, Mingyu
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
backward stochastic differential equation  reflected backward stochastic differential equation  monotonicity condition  stochastic flow  partial differential equation with obstacle  
Successive approximation of infinite dimensional semilinear backward stochastic evolution equations with jumps 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2007, 卷号: 117, 期号: 9, 页码: 1251-1264
作者:  Cao, Guilan;  He, Kai
收藏  |  浏览/下载:138/0  |  提交时间:2018/07/30
successive approximation  BSEE  non-Lipschitzian coefficient  mild solution  existence  uniqueness  cylindrical Brownian motion  Poisson point process