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THE CODIMENSION FORMULA ON AF-COSUBMODULES

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Chinese Annals of mathematics,Series B 2002年第3期23卷 419-424页

作者： GUO KUNYU Department of mathematics, Fudan university, shanghai 200433, china Department of mathematics Fudan University Shanghai 200433 China

Let M1, M2 be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2 and dimM1/M2 = k < '. If M2 is an AF-cosubmodule, then the codimension dimM1/M2 of M2 in M1 equals the cardinality of zeros of M2 rel... 详细信息

Let M1, M2 be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2 and dimM1/M2 = k 4].

关键词： AF-cosubmodule Characteristic space Analytic Hilbert module

Fredholm operators in Toeplitz algebras associated with discrete abelian groups

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Chinese science Bulletin 1998年第14期43卷 1175-1179页

作者： XU Qingxiang 1 and CHEN Xiaoman 2 1. Department of mathematics, shanghai normal university, shanghai 2.02.4, china 2. Laboratory of mathematics for Nonlinear sciences and Institute of mathematics, Fudan university, shanghai 200433, china Department of mathematics Shanghai Normal University Shanghai China Laboratory of mathematics for Nonlinear sciences and Institute of mathematics Fudan University Shanghai China

The locally finite below sets are introduced and the Fredholm operators in Toeplitz algebras associated with discrete abelian groups are studied.

关键词： discrete abelian group quasi_ordered group Toeplitz operator Fredholm operator.

Effect of Material Property of Interply Film on the Delamination in Laminated Composites

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Communications in Nonlinear science and Numerical Simulation 1999年第1期4卷 39-42页

作者： Wei FENG and Qian HUANG (shanghai institute of Applied mathematics and Mechanics, shanghai university, shanghai 200072, china) shanghai Institute of Applied mathematics and Mechanics Shanghai University Shanghai 200072 China

The delamination is one of the main failure modes in laminated composites. In order to suppress and/or delay it, considerable research has been devoted to the reduction of the interlaminar stresses at the interfaces between two different plies. This paper studies the effect of isotropic layers placed at ply interface on the interlaminar behaviour of the angle-ply laminated composites. The results of the experiment and numerical analysis show that the material properties of interply film have strong influence on the interlaminar behaviour of laminated composites. In order to suppress delamination, the material of interply film has to been selected carefully due to the fact that different matrials have different results. Some materials may increase the stress values at the interfaces. Some materials may reduce the stress concertration.

关键词： laminated composite interply film stress concentration

REGULARITY RESULTS FOR SOME QUASI-LINEAR ELLIPTIC SYSTEMS INVOLVING CRITICAL EXPONENTS

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Chinese Annals of mathematics,Series B 2005年第1期26卷 119-126页

作者： HUYEXIN LIJUAN Departmentofmathematics ShanghaiJiaotongUniversityShanghai200240China Departmentofmathematics ShanghaiJiaotongUniversityShanghai200240China.

The authors show the regularity of weak solutions for some typical quasi-linear elliptic systems governed by two p-Laplacian operators. The weak solutions of the following problem with lack of compactness are proved t... 详细信息

关键词： Elliptic equation system p-Laplacian operator Critical Sobolev exponent Regularity

Parametric estimation of discretely sampled Gamma-OU processes

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science china mathematics 2006年第9期49卷 1231-1257页

作者： ZHANG Shibin,ZHANG Xinsheng & SUN Shuguang School of Management, Fudan university, shanghai 200433, china Department of mathematics, shanghai Maritime university, shanghai 200135, china School of Management Fudan University Shanghai 200433 China Department of mathematics Shanghai Maritime University Shanghai 200135 China

The stationary Gamma-OU processes are recommended to be the volatility of the financial assets. A parametric estimation for the Gamma-OU processes based on the discrete observations is considered in this paper. The estimator of an intensity parameter A and its convergence result are given, and the simulations show that the estimation is quite accurate. Assuming that the parameter A is estimated, the maximum likelihood estimation of shape parameter c and scale parameter a, whose likelihood function is not explicitly computable, is considered. By means of the Gaver-Stehfest algorithm, we construct an explicit sequence of approximations to the likelihood function and show that it converges the true (but unkown) one. Maximizing the sequence results in an estimator that converges to the true maximum likelihood estimator and the approximation shares the asymptotic properties of the true maximum likelihood estimator. Some simulation experiments reveal that this method is still quite accurate in most of rational situations for the background of volatility.

关键词： Gamma-OU process transition function Lévy process Lévy density stochastic volatility background driving Lévy process Laplace transformation maximum likelihood estimation

RAPID EXACT CONTROLLABILITY OFTHE SEMILINEAR WAVE EQUATION

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Chinese Annals of mathematics,Series B 1999年第3期20卷 377-384页

作者： ZHANG Xu(Institute of mathematics, Fudan university, shanghai 200433, china.)(Project supported by the science Foundation of the Ministry of Education of china and the Youth science Foundation of shanghai’s Universities.) Fudan Univ Inst Math Shanghai 200433 Peoples R China

In this paper the semilinear wave equation with homogeneous Dirichlet boundary condition having a locally distributed controller is considered, and the rapid exact controllability of this system is obtained by changing the shape and/or the location of the controller under proper conditions. For this purpose, the author derives an (rapid) observability inequality for wave equations with linear time-variant potential by means of the energy estimate. The main difference of the method from the previous ones is that any unique continuation property of the corresponding linear time-variant wave equations is not needed.

关键词： Rapid exact controllability Semilinear wave equation Changing controller Energy estimate

A NONMONOTONE TRUST REGION TECHNIQUEFOR UNCONSTRAINED OPTIMIZAfIONPROBLEMS

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Systems science and Mathematical sciences 1998年第4期11卷 375-382页

作者： ZHU Detong(Department of mathematics, shanghai normal university, shanghai 2.02.4 china)

Trust region methods with nonmonotone technique for unconstrained opti-mization problems are presented and analyzed. The convergence results are demonstratedfor the proposed algorithms even if the conditions are mild.

关键词： Unconstrained optimization trust region nonmonotone technique conver-gence

The response of electron transport mediated by active NADPH dehydrogenase complexes to heat stress in the cyanobacterium Synechocystis 6803

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science china(Life sciences) 2008年第12期51卷 1082-1087页

作者： MA WeiMin, WEI LanZhen & WANG QuanXi college of Life and Environment sciences, shanghai normal university, shanghai 2.02.4, china 1. college of Life and Environment sciences Shanghai Normal University Shanghai 200234 China

The electron-transport machinery in photosynthetic membranes is known to be very sensitive to heat. In this study, the rate of electron transport (ETR) driven by photosystem I (PSI) and photosystem II (PSII) during heat stress in the wild-type Synechocystis sp. strain PCC 6803 (WT) and its ndh gene inactiva-tion mutants △ndhB (M55) and △ndhD1/ndhD2 (D1/D2) was simultaneously assessed by using the novel Dual-PAM-100 measuring system. The rate of electron transport driven by the photosystems (ETRPSs) in the WT, M55, and D1/D2 cells incubated at 30℃ and at 55℃ for 10 min was compared. Incubation at 55 ℃ for 10 min significantly inhibited PSII-driven ETR (ETRPSII) in the WT, M55 and D1/D2 cells, and the ex-tent of inhibition in both the M55 and D1/D2 cells was greater than that in the WT cells. Further, PSI-driven ETR (ETRPSI) was stimulated in both the WT and D1/D2 cells, and this rate was increased to a greater extent in the D1/D2 than in the WT cells. However, ETRPSI was considerably inhibited in the M55 cells. Analysis of the effect of heat stress on ETRPSs with regard to the alterations in the 2 active NDH-1 complexes in the WT, M55, and D1/D2 cells indicated that the active NDH-1 supercomplex and medi-umcomplex are essential for alleviating the heat-induced inhibition of ETRPSII and for accelerating the heat-induced stimulation of ETRPSI, respectively. Further, it is believed that these effects are most likely brought about by the electron transport mediated by each of these 2 active NDH-1 complexes.

关键词： active NDH-1 complexes heat response photosystems-driven electron transport Synechocystis 6803

The Tracial Rokhlin Property for Automorphisms on Non-simple C~*-Algebras

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Chinese Annals of mathematics,Series B 2010年第2期31卷 191-200页

作者： Jiajie HUA Department of mathematics East China Normal University Shanghai 200241 China.

Let A be a unital AF-algebra （simple or non-simple） and let α be an automorphism of A. Suppose that α has certain Rokhlin property and A is α-simple. Suppose also that there is an integer J ≥ 1 such that J α＊... 详细信息

关键词： Rokhlin property Tracial rank zero AF-algebra