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Optimal variational principle for backward stochastic control systems associated with Lévy processes

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Science china Mathematics 2012年第4期55卷 745-761页

作者： TANG MaoNing 1 & ZHANG Qi 2,1 Department of Mathematical sciences,Huzhou university,Huzhou 313000,china 2 school of Mathematical sciences,fudan university,shanghai 200433,china Department of Mathematical sciences Huzhou University Huzhou China school of Mathematical sciences Fudan University Shanghai China

The paper is concerned with optimal control of backward stochastic differential equation (BSDE) driven by Teugel’s martingales and an independent multi-dimensional Brownian motion,where Teugel’s martin- gales are a family of pairwise strongly orthonormal martingales associated with Lévy processes (see e.g.,Nualart and Schoutens’ paper in 2000).We derive the necessary and sufficient conditions for the existence of the op- timal control by means of convex variation methods and duality *** an application,the optimal control problem of linear backward stochastic differential equation with a quadratic cost criteria (or backward linear-quadratic problem,or BLQ problem for short) is discussed and characterized by a stochastic Hamilton system.

关键词：倒向随机微分方程随机控制系统变分原理 Hamilton系统最优控制问题线性二次型进程充分必要条件

A new scheme of digital communication using chaotic signals in MIMO channels

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Science china(Information sciences) 2012年第10期55卷 2183-2193页

作者： MA HuanFei 1 & KAN HaiBin 2 1 school of Mathematical sciences,Soochow university,Suzhou 215006,china 2 school of Computer Science,fudan university,shanghai 200433,china school of Mathematical sciences Soochow University Suzhou China school of Computer Science Fudan University Shanghai China

This paper proposes a new digital communication scheme,which uses chaotic signals based on the adaptive synchronization and parameter identification technique of chaotic systems reported *** to the multi signal character,this scheme combines the chaotic signal transmission with the MIMO channel technique in a wireless environment,which is different from the traditional chaotic communication *** a practical perspective,an outline of modulation,channel model,demodulation and non-coherent detection is ***,system performance is evaluated by simulations,and improvements on this scheme are also discussed.

关键词： chaotic modulation chaotic digital communication mapping parameters MIMO channel

A New Approach to Synchronization Analysis of Linearly Coupled Map Lattices

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Chinese Annals of Mathematics,Series B 2007年第2期28卷 149-160页

作者： Wenlian LU Tianping CHENt Published online March school of Mathematical sciences and Laboratory of Mathematics for Nonlinear sciences Fudan University Shanghai 200433 China.

在这篇论文，分析线性地联合的地图格子(LCML ) 的同步的一条新途径被介绍。参考书向量 x (t) 在同步上作为联合系统的轨道的设计被介绍歧管。同步的稳定性分析歧管能被认为是调查轨道和设计之间的差别。由这个方法，一些标准为本地、... 详细信息

在这篇论文，分析线性地联合的地图格子(LCML ) 的同步的一条新途径被介绍。参考书向量 x (t) 在同步上作为联合系统的轨道的设计被介绍歧管。同步的稳定性分析歧管能被认为是调查轨道和设计之间的差别。由这个方法，一些标准为本地、全球的同步被给。这些标准显示相应于联合矩阵戏的特征值 '0' 的左、正确的特徵向量在为联合系统歧管的同步的稳定性给角色调音。而且，为联合系统歧管的同步的稳定性与为在平常的感觉的动态系统的稳定性不同，这被揭示。也就是说，联合系统的解决方案不集成令人满意的 s ( t+1 )= f ( s (t))到某个可知的 s (t)但是到同步上的引用向量歧管，事实上，为 i =的每 x^i (t)的某个加权的一般水准是哪个 1 ，吗？ ? ?， m，然而并非答案 s (t) 令人满意的 s (t + 1 )=f (s (t)) 。

关键词：线性耦合映射格同步分析同步流形稳定

Phylogeographic analysis of human papillomavirus 58

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Science china(life sciences) 2009年第12期52卷 1164-1172页

作者： LI YanYun1, LI ZuoFeng2, HE YiFeng1, KANG Yu1, ZHANG XiaoYan1, CHENG MingJun1, zhong yang2, 3· & XU CongJian1· 1 Obstetrics and Gynecology Hospital of fudan university, shanghai 200011, china 2 shanghai Bioinformation Research Center, shanghai 200235, china 3 school of life sciences, fudan university, shanghai 200433, china Obstetrics and Gynecology Hospital of fudan university Shanghai China shanghai Bio-information Research Center Shanghai China school of life sciences Fudan University Shanghai China

Human papillomavirus 58 (HPV58) is one type of HPV with high risk of causing cervical cancer. Unusually high prevalence of HPV58 has been reported in Asia, Africa and some other areas. However, due to the scattered distribution of global data, in addition to the lack of data of some HPV58 high-incidence nations and regions, like china's Mainland, a comprehensive analysis of the global geographical distribution of HPV58 remains blank so far. In this study, HPV58 from the human cervical cancer tissue was detected in china's Mainland, and 14 new HPV58-E6/L1 gene sequences were obtained. Moreover, phylogeographic analysis has been conducted combining the HPV58 sequences that have been deposited in GenBank since 1985. The study result shows that the sequences detected from the shanghai, Jiangsu and Sichuan areas are homologous with those found in the past from Hong Kong and Xi'an, china, as well as Japan and other Southeast Asian areas. Furthermore, Western Africa is considered to be the "root" source of the HPV58 variant, while china's Mainland and Southeast Asia are "transit points" and the new sources of HPV58 after receiving the isolates from the "root" source; like HPV16 and HPV18, the HPV58 might also be one of the major HPV types associated with the development and spread of cervical cancer.

关键词： human papillomavirus 58 (HPV58) cervical cancer phylogeography molecular evolution

Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space

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Chinese Annals of Mathematics,Series B 2011年第2期32卷 187-200页

作者： Rongli HUANG school of Mathematical sciences Fudan University Shanghai 200433 China

The author establishes the long-time existence and convergence results of the mean curvature flow of entire Lagrangian graphs in the pseudo-Euclidean space,which is related to the logarithmic Monge-Ampere flow.

关键词：平均曲率流伪欧氏空间拉格朗日 Lagrangian 对数型收敛性 Amp

SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of Mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG Department of Mathematics, Zhejiang university, Hangzhou 310027, china school of Mathematical sciences, Pudan university, shanghai 200433, china. Department of Mathematics Zhejiang University Hangzhou 310027 China school of Mathematical sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev不等式黎曼几何流形 Riesz变换位势

The Inverse Mean Curvature Flow in Rotationally Symmetric Spaces

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数学年刊：B辑英文版 2011年第1期32卷 27-44页

作者： Qi DING school of Mathematical sciences Fudan University Shanghai 200433 China

In this paper,the motion of inverse mean curvature flow which starts from a closed star-sharped hypersurface in special rotationally symmetric spaces is *** is proved that the flow converges to a unique geodesic spher... 详细信息

关键词：平均曲率流旋转对称对称空间空间曲面大肠杆菌测地球超曲面收敛

GLOBAL EXISTENCE OF WEAKLY DISCONTINUOUS SOLUTIONS TO A KIND OF MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS

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Applied Mathematics(A Journal of Chinese Universities) 2007年第2期22卷 181-200页

作者： Guo Fei school of Mathematical sciences, fudan university, shanghai 200433, china Department of Mathematics, Qufu Normal university, Shandong, 273165, china. school of Mathematical sciences Fudan University Shanghai China Department of Mathematics Qufu Normal University Shandong China

In this paper, the mixed initial-boundary value problem for general first order quasi- linear hyperbolic systems with nonlinear boundary conditions in the domain D = {（t, x）｜ t ≥ 0, x ≥0} is considered. A suffic... 详细信息

关键词： quasilinear hyperbolic system mixed initial-boundary value problem global weakly discontinu-ous solution weak linear degeneracy

Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system

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Science china Mathematics 2010年第6期53卷 1521-1530页

作者： ZHAO WenJing1,& DU DaPeng2 1school of Mathematics Science,fudan university,shanghai 200433,china 2Institution of Mathematics,fudan university,shanghai 200433,china school of Mathematics Science Fudan University Shanghai China Institution of Mathematics Fudan University Shanghai China

In the present paper,the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data:the deformation tensor is Hlder continuou... 详细信息

关键词： Oldroyd-B model characteristic direction Stokes kernel