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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 inequality Complete manifold Riesz transform Potential Heat kernel

Fast bowtie effect elimination for MODIS L1B data

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The Journal of china Universities of Posts and Telecommunications 2010年第1期17卷 120-126页

作者： REN Rui-zhi,GUO Shu-xu,GU Ling-jia College of electronic science and engineering,jilin university,changchun 130012,china [a] College of electronic science engineering Jilin University Changchun 130012 China

The bowtie effect refers to geometry distortions for the moderate resolution imaging spectrum-radiometer （MODIS） level 1B （L1 B） data. Till now, to eliminate the bowtie effect, numerous methods are proposed. However, most of them have limitations in computation efficiency. Through a comparative study of existing methods, this article puts forward a fast method to eliminate the bowtie effect using the ephemeris data. In this method, the rough positions of overlapping data are first detected. Because of the influence caused by the instrarnent characters and the earth＇s curvature, the positions of overlapping data need to be rectified to obtain more precise results. The optimal rectification method used in this article is selected by comparing three methods. By using the optimal method, the rectified MODIS data can be obtained. The experiments demonstrate that the bowtie effect can be eliminated in less than 1 s. In contrast, other traditional methods spend at least 3 s, thus the proposed method is faster and more effective.

关键词： bowtie effect MODIS bilinear interpolation overlapping data rectification

Invariant tori for asymptotically linear impact oscillators

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Science china Mathematics 2006年第5期49卷 669-687页

作者： QIAN Dingbian & SUN Xiying school of mathematical sciences, Suzhou university, Suzhou 215006, china Laboratory of Mathematics for Nonlinear sciences, Fudan university, Shanghai 200433, china school of mathematical sciences Suzhou University Suzhou 215006 China Laboratory of Mathematics for Nonlinear sciences Fudan University Shanghai 200433 China

The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.

关键词： invariant tori, boundedness of solutions, quasi-periodic solution, impact oscillator.

Structure of augmentation quotients of finite homocyclic abelian groups

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Science china Mathematics 2007年第9期50卷 1280-1288页

作者： Guo-ping TANG school of mathematical sciences,Graduate university of Chinese Academy of sciences,Beijing 100049,china 1. school of mathematical sciences Graduate University of Chinese Academy of Sciences Beijing 100049 China

Let G be a finite abelian group and its Sylow p-subgroup a direct product of copies of a cyclic group of order p r , i.e., a finite homocyclic abelian group. Let Δ n (G) denote the n-th power of the augmentation ideal Δ(G) of the integral group ring ?G. The paper gives an explicit structure of the consecutive quotient group Q n (G) = Δ n (G)/Δ n+1(G) for any natural number n and as a consequence settles a problem of Karpilovsky for this particular class of finite abelian groups.

关键词： integral group ring augmentation ideal consecutive quotient of augmentation ideal 16S34 20C05

Cloning of the full-length gene of activin receptor-interacting protein2a and characterization of its interaction with ActR Ⅱ A

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Progress in Natural Science:Materials International 2007年第2期17卷 172-176页

作者： CUI Xueling, TAI Guixiang, ZHANG Hongjun, FANG Lin and LIU Zhonghui (school of Basic Medical sciences, jilin university, changchun 130021, china) school of Basic Medical sciences Jilin University Changchun 130021 China

To investigate the mechanism of intracellular signal transduction mediated by activin receptors, the full-length gene encoding a novel activin receptor-interacting protein2a (ARIP2a) was identified from a mouse brain cDNA library. The sequences of ARIP2a and ARIP2, distribution of ARIP2a and ARIP2 mRNA in mouse tissues, and expression of ARIP2a and ARIP2 in activin-induced RAW264.7 cell were compared, and the interaction between ARIP2a and ActRIIA was confirmed. The sequence analysis revealed that the full-length gene of ARIP2a, which composed of 1008 bp and encoded 153 amino acid residues, shared high sequence identity with ARIP2 except the position of the 99th amino acid. RT-PCR assay showed that ARIP2a mRNA was highly expressed in brain, pituitary and testis, and moderately in pancreas and ovary, but undetectable in other tissues. Whereas, ARIP2 mRNA was widely distributed in all mouse tissues that we tested. Moreover, expression of ARIP2a mRNA was significantly decreased in activin-stimulated RAW264. 7 cells; however, the expression of ARIP2 mRNA was increased. Additionally, the interaction between ARIP2a and activin type IIA receptor (ActRIIA) was further demonstrated by mammalian two-hybrid assays and pull-down assays. Taken together, those results indicate that although ARIP2a is homologous to ARIP2, they are different in tissue distribution and responses to activin. ARIP2a could also interact with activin type II receptor as a novel member of ARIP family.

关键词： activin receptor-interacting protein tissue distribution.

Finite Groups in Which Sylow Normalizers Admit Supplements

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Acta Mathematica Sinica,English Series 2007年第3期23卷 417-422页

作者： Tian Ze LI school of mathematical sciences,Peking university,Beijing 100871,P.R.china school of mathematical sciences Peking University Beijing 100871 P. R.China

For a group G and a subgroup M of G,we say that a subgroup A of G is a supplement toM in G,if G=*** prove that a finite group in which every Sylow normalizer admits a nilpotentsupplement is *** particular we confirm a... 详细信息

关键词： Sylow normalizer Supplement Wreath product

Jensen's Inequality for Backward Stochastic Differential Equations

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Chinese Annals of Mathematics,Series B 2006年第5期27卷 553-564页

作者： Long JIANG Department of Mathematics, china university of Mining and Technology, Xuzhou 221008, Jiangsu, china school of mathematical sciences, Fudan university, Shanghai 200433, china school of Mathematics and System sciences, Shandong university, Jinan 250100, china. Department of Mathematics China University of Mining Technology Xuzhou 221008 Jiangsu China school of mathematical sciences Fudan University Shanghai 200433 China school of Mathematics System sciences Shandong University Jinan 250100 China

Under the Lipschitz assumption and square integrable assumption on g, the author proves that Jensen＇s inequality holds for backward stochastic differential equations with generator g if and only if g is independent of y, g（t, 0）≡ 0 and g is super homogeneous with respect to z. This result generalizes the known results on Jensen＇s inequality for gexpectation in [4, 7-9].

关键词： Backward stochastic differential equation g-Expectation Jensen's inequality for g-expectation Jensen's inequality for BSDEs

Split-plot designs with general minimum lower-order confounding

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Science china Mathematics 2010年第4期53卷 939-952页

作者： WEI JiaLin 1,4,YANG JianFeng 1,LI Peng 3 & ZHANG RunChu 1,2,1 school of mathematical sciences and LPMC,Nankai university,Tianjin 300071,china 2 KLAS and school of Mathematics and Statistics,Northeast Normal university,changchun 130024,china 3 school of mathematical sciences,Capital Normal university,Beijing 100037,china 4 school of sciences,Tianjin university of Commerce,Tianjin 300134,china 1. school of mathematical sciences and LPMC Nankai University Tianjin 300071 China4. School of Sciences Tianjin University of Commerce Tianjin 300134 China3. School of Mathematical Sciences Capital Normal University Beijing 100037 China2. KLAS and School of Mathematics and Statistics Northeast Normal University Changchun 130024 China

Split-plot designs have been widely used in industrial *** to now,most methods for choosing this kind of designs are based on the minimum aberration (MA) ***,by introducing a new pattern,called aliased effect-number pattern (AENP),Zhang et *** a general minimum lowerorder confounding (denoted by GMC for short) criterion and established a general minimum confounding (also denoted by GMC for saving notations) *** is proved that,the GMC criterion selects optimal designs in a more elaborate manner than the existing ones,and when an experimenter has a prior about the importance ordering of factors in experiments the GMC designs are better than other optimal *** this paper we extend the GMC criterion to the split-plot design case and give a GMC-FFSP criterion for ranking split-plot *** comparisons of the new criterion with the MA-MSA-FFSP criterion are given,and the optimal 32-run split-plot designs up to 14 factors under the two criteria are tabulated for comparison and application.

关键词： fractional factorial design GMC criterion minimum aberration split-plot

CONVERGENCE OF VORTEX METHODS FOR 3-D EULER EQUATIONS

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Journal of Computational Mathematics 2000年第3期18卷 239-250页

作者： Jia-fu Lin (Institute of System Science, Academy of Mathematics and System sciences, Chinese Academy of sciences, Beijing, 100080, china school of mathematical sciences, Peking university, Beijing 100871, china) 中科院系统科学所北京 100080

Presents a study on the convergence of vortex methods for the three-dimensional Euler equations in bounded domains. Related studies on the convergence of vortex methods; Formulation of vortex methods; Convergence for ... 详细信息

关键词： Euler equations vortex methods convergence initial-boundary value problem