检索结果-南通市图书馆

On Holomorphic Automorphisms of a Class of Non-homogeneous Rigid Hypersurfaces in C^(N+1)

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2010年第2期31卷 201-210页

作者： Qingyan WU department of mathematics,Linyi Normal university,Linyi 276005,Shandong,China department of mathematics,Zhejiang university,Hangzhou 310027,China department of mathematics Linyi Normal University Linyi 276005 Shandong China department of mathematics Zhejiang University Hangzhou 310027 China

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in CN+1 near the origin,and the connected component containing the identity transformation of al... 详细信息

关键词： Real-analytic infinitesimal CR automorphisms Rigid hypersurfaces Holomorphic automorphisms

T1 theorem for Besov and Triebel-Lizorkin spaces

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2005年第5期48卷 657-665页

作者： DENG Donggao & HAN Yongsheng department of mathematics, Zhongshan university, Guangzhou 510275, China department of mathematics, Auburn university, Alabama, 36849, USA Dept. of Math. Zhongshan Univ. Guangzhou 510275 China Dept. of Math. Auburn Univ. Alabama 36849 United States

Using the discrete Calderon type reproducing formula and the plancherelpolya characterization for the Besov and Triebel-Lizorkin spaces, the T1 theorem for the Besov and Triebel-Lizorkin spaces was proved.

关键词： T1 theorem Besov and Triebel-Lizorkin spaces Calderon reproducing formula plancherel-polya inequalities.

Equivalence problem for Bishop surfaces

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2010年第3期53卷 687-700页

作者： HUANG XiaoJun 1, & YIN WanKe 2 1 department of mathematics, Rutgers university, New Brunswick, NJ 08902, USA 2 School of mathematics and Statistics, Wuhan university, Wuhan 430072, China 1. department of mathematics Rutgers University New Brunswick NJ 08902 USA2. School of Mathematics and Statistics Wuhan University Wuhan 430072 China

The paper has two parts. We first briefly survey recent studies on the equivalence problem for real submanifolds in a complex space under the action of biholomorphic transformations. We will mainly focus on some of the recent studies of Bishop surfaces, which, in particular, includes the work of the authors. In the second part of the paper, we apply the general theory developed by the authors to explicitly classify an algebraic family of Bishop surfaces with a vanishing Bishop invariant. More precisely, we let M be a real submanifold of C 2 defined by an equation of the form w = zz + 2Re(z s + az s+1 ) with s≥ 3 and a a complex parameter. We will prove in the second part of the paper that for s≥ 4 two such surfaces are holomorphically equivalent if and only if the parameter differs by a certain rotation. When s = 3, we show that surfaces of this type with two different real parameters are not holomorphically equivalent.

关键词： equivalence problem Bishop surface Chern-Moser theory elliptic and hyperbolic complex tangents normal form and modular space

Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2012年第4期55卷 851-868页

作者： LI Jun 1,& HUANG NanJing 2 1 College of mathematics and Information,China West Normal university,Nanchong 637009,China 2.department of mathematics,Sichuan university,Chengdu 610064,China 1. College of mathematics and Information China West Normal University Nanchong 637009 China2. Department of Mathematics Sichuan University Chengdu 610064 China

In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (for short,VI) with cone *** separation for VI with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian func- ***-type necessary and sufficient optimality conditions for VI with cone constraints are presented by using a separation *** functions and weak sharpness for VI with cone constraints are also investi- ***,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.

关键词： variational inequality image space analysis linear separation necessary and sufficient optimalitycondition traffic equilibrium

ON THE CLASSIC NONHOLONOMIC DYNAMICS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mechanica Sinica 1989年第3期5卷 253-259页

作者： Guo Zhongheng Gao puyun~(2))(department of mathematics,peking university) 2)At present,Dept.of mathematics,Xiantan Normal School. 1. department of mathematics Peking University Peking China

For first-order nonlinear nonholonomic systems,the present paper proves that the d-δ operations are commutative and derives the equation of motion without making use of the addition al Appell-Chetaev *** equation of ... 详细信息

关键词： nonholonomic dynamics commutativity of d-δ operations Appell-Chetaev condition Vacco dynamics

Large deviation principle for diffusion processes under a sublinear expectation

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2012年第11期55卷 2205-2216页

作者： CHEN ZengJing 1,2 & XIONG Jie 3,4,1 School of mathematics,Shandong university,Jinan 250100,China 2.department of Financial Engineering,Ajou university,Suwon 443749,Korea 3 department of mathematics,university of Macao,pO Box 3001,Macao,China 4 department of mathematics,university of Tennessee,Knoxville,TN 37996-1300,USA 1. School of mathematics Shandong University Jinan 250100 China 2. department of Financial Engineering Ajou University Suwon 443749 Korea 3. department of mathematics University of Macau PO Box 3001 Macau China 4. department of mathematics University of Tennessee Knoxville TN 37996-1300 USA

We represent the exponential moment of the Brownian functionals under a nonlinear expectation according to the solution to a backward stochastic differential *** an application,we establish a large deviation principle of the Freidlin and Wentzell type under the corresponding nonlinear probability for diffusion processes with a small diffusion coefficient.

关键词： large deviation principle backward stochastic differential equation g-expectation ambiguity

On the direct path problem of s-elementary frame wavelets

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2010年第12期53卷 3187-3196页

作者： DAI XingDe 1 , DIAO YuanAn 1 & GUO XunXiang 2,1 department of mathematics and Statistics, university of North Carolina at Charlotte, Charlotte, NC 28223, USA 2.department of mathematics, Southwestern university of Finance and Economics, Chengdu 611130, China 1. department of mathematics and Statistics University of North Carolina at Charlotte Charlotte NC 28223 USA2. Department of Mathematics Southwestern University of Finance and Economics Chengdu 611130 China

In this paper, we discuss the path-connectivity between two s-elementary normalized tight frame wavelets via the so-called direct paths. We show that the existence of such a direct path is equivalent to the non-existence of an atom of a σ-algebra defined over the defining sets of the corresponding frame wavelets, using a mapping defined by the natural translation and dilation operations between the sets. In particular, this gives an equivalent condition for the existence of a direct path between two s-elementary wavelets.

关键词： wavelets frame wavelets frame wavelet sets path-connectivity of wavelets direct path

Multiwavelet sampling theorem in Sobolev spaces

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2010年第12期53卷 3197-3214页

作者： LI YouFa 1,2 & YANG ShouZhi 1, 1 department of mathematics, Shantou university, Shantou 515063, China 2 College of mathematics and Information Sciences, Guangxi university, Nanning 530004, China 1. department of mathematics Shantou University Shantou 515063 China2. College of Mathematics and Information Sciences Guangxi University Nanning 530004 China

This paper is to establish the multiwavelet sampling theorem in Sobolev spaces. Sampling theorem plays a very important role in digital signal communication. The most classical sampling theorem is Shannon sampling theorem, which works for bandlimited signals. Recently, sampling theorems in wavelets or multiwavelets subspaces are extensively studied in the literature. In this paper, we firstly propose the concept of dual multiwavelet frames in dual Sobolev spaces (H s (R) , H-s (R)). Then we construct a special class of dual multiwavelet frames, from which the multiwavelet sampling theorem in Sobolev spaces is obtained. That is, for any f ∈ H s (R) with s > 1/2, it can be exactly recovered by its samples. Especially, the sampling theorem works for continuous signals in L 2 (R), whose Sobolev exponents are greater than 1 /2.

关键词： Sobolev spaces refinable function vectors dual multiwavelet frames delta function sampling theorem

A NONLINEAR GALERKIN METHOD WITH VARIABLEMODES FOR KURAMOTO-SIVASHINSKY EQUATION

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 1999年第3期17卷 243-256页

作者： Yu-jiang wu(Depadrtment of mathematics, Shanghai university, Jiadiap Shanghai 201800, China department of mathematics, Lanzhou university, Lanzhou 750000, China) 上海大学数学系上海

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

关键词： Kuramoto-Sivaskinsky equation nonlinear Galerkin method approximation convergence