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TOEPLITZ C-ALGEBRA OVER THE L-SHAPED DOMAIN IN C^m

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Chinese Annals of Mathematics,Series B 1996年第3期17卷 325-334页

作者： XU SHENGZHI CHEN XIAOMAN YAN SHAOZONG(institute of Mathematics, fudan university, shanghai 2..433, china) institute of Mathematics Fudan University Shanghai 200433 China

The authors investigate the Toeplitz C-algebra over the L-shaped domain in Cn by thegroupoid approach, and successfully parameterise the unit space of the groupoid associated tothe Toeplitz C-algebra.

关键词： L-shaped domain Toeplitz C-algebra Parameterization

On the Neighborhood in Stabilizing Period-T Orbits for Chaotic m Degree Polynomial Dynamical System

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 242-247页

作者： Enguo GU Jiong RUAN and Zhenxun HUANG (institute of Mathematics, fudan university, shanghai 2..433,china) institute of Mathematics Fudan University Shanghai 200433 China

In this paper, a problem of stabilizing a period-T orbit in discrete Chaotic m degree polynomial dynamical systems is studied. The aim is to present a new method for determining the neighborhood of a period-T point in which the system remains stable when subjected to a linear feedback control. A theorem on the existence of neighborhood is rigorously proved using idea from functional analysis and polar coordinate *** ways of implementing the obtained theorem in the Henon map are proposed. Thevalidity of this method is shown by numerical simulation.

关键词： neighborhood of period-T orbit controlling chaotic discrete system gain matrix

TOTAL GENERALIZED MINIMUM BACKWARD ERROR ALGORITHM FOR SOLVING NONSYMMETRIC LINEAR SYSTEMS

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Journal of Computational Mathematics 1998年第6期16卷 539-550页

作者： Zhi-hao Cao (Dearptment of Mathematics, fudan university, shanghai 2..433, china) 复旦大学数学系上海

This paper extendes the results by E.M. Kasenally([7]) on a Generalized Minimum Backward Error Algorithm for nonsymmetric linear systems Ax = b to the problem in which pertubations are simultaneously permitted on A and b. The approach adopted by Kasenally has been to view the approximate solution as the exact solution to a perturbed linear system in which changes are permitted to the matrix A only. The new method introduced in this paper is a Krylov subspace iterative method which minimizes the norm of the perturbations to both the observation vector b and the data matrix A and has better performance than the Kasenally's method and the restarted GMRES method([12... The minimization problem amounts to computing the smallest singular value and the corresponding right singular vector of a low-order upper-Hessenberg matrix. Theoratical properties of the algorithm are discussed and practical implementation issues are considered. The numerical examples are also given.

关键词： nonsymmetric linear systems iterative methods backward error

FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM

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Chinese Annals of Mathematics,Series B 2002年第4期23卷 439-454页

作者： WANG LIBINinstitute of Mathematics, fudan university, shanghai 2..433, china. institute of Mathematics Fudan University Shanghai 200433 China

The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension.

关键词： Formation of singularity Quasilinear non-strictly hyperbolic system Weak linear degeneracy

Modern thermodynamics-New concepts based on the second law of thermodynamics

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Progress in Natural Science:Materials International 2009年第1期19卷 125-135页

作者： Jitao Wang Department of Microelectronics,fudan university,shanghai 2..433,china Department of Microelectronics Fudan University Shanghai 200433 China

Thermodynamics is a core part of *** all scientists should have a basic knowledge of *** is a science of development,and is a viewpoint of scientific development in natural *** of thermodynamics has influence not only on natural sciences,but also on social sciences and *** concepts and definitions are very important for any discipline of science,so what is classical thermodynamics and what is modern thermodynamics have become the key points of puzzledom in *** this paper,after clarification of fundamental concept in thermodynamics,a complete basic modern classification of thermodynamics is naturally *** is suggested that extended Carnot theorem and dissipation decrease theorem,together with the laws of thermodynamics,are the most fundamental theorems in thermodynamics *** thermodynamics is a new field besides equilibrium thermodynamics belonging to the equal part of the second law of thermodynamics.

关键词： Modern thermodynamics Second law of thermodynamics Thermodynamic coupling Spiral reactions Chemical oscillation Low-pressure diamond growth

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 2..433, 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 related to MI by counting multiplicities. The codimension formula has some interesting applications. In particular, the author calculates out the dimension of Rudin quotient module, which is raised in [14].

关键词： AF-cosubmodule Characteristic space Analytic Hilbert module

A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS

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Chinese Annals of Mathematics,Series B 1996年第3期17卷 365-374页

作者： YAN JINHAI(Department of Mathematics, fudan university, shanghai 2..433, china) Department of Mathematics Fudan University Shanghai 200433 China

The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundaryvalue condition on a part of the boundary is studied for the heat equation, which physicallymeans that the potential is the function of the total flux. When this part of boundary shrinksto a point in a certain wayt this condition either results in a Dirac measure or simply disappearsin the corresponding problem.

关键词： Heat equation Nonlinear boundary problem Potential Limit behavior

Hyperbolic positive mass theorem under modified energy condition

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Science china Mathematics 2008年第12期51卷 2189-2197页

作者： XIE NaQing institute of Mathematics, School of Mathematical Sciences, fudan university, shanghai 2..433, china institute of Mathematics School of Mathematical Sciences Fudan University Shanghai China

We provide two new positive mass theorems under respective modified energy conditions allowing T00 negative on some compact set for certain modified asymptotically hyperbolic manifolds. This work is analogous to Zhang... 详细信息

关键词： positive mass theorem modified energy condition modified asymptotically hyperbolic 83C40 53C27

ON SOME CONSTANTS OF QUASICONFORMAL DEFORMATION AND ZYGMUND CLASS

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Chinese Annals of Mathematics,Series B 1995年第3期16卷 325-330页

作者： CHEN JIXIU WEI HANBAI(institute of Mathematics, fudan university, shanghai 2..433, china.) 复旦大学数学所上海

A real-valued function f(x)on belongs to Zygmund class if its Zygmund norm It is proved that when f ∈, there exists an extension F(z)of f to H = {Imz > 0} such that It is also proved that if f(0)=f(1)= 0,then

关键词： Quasiconformal deformation Zygmund class Beurling-Ahlfors extension.