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数学年刊B辑（英文版）
数学年刊B辑（英文版）

李大潜

双月刊

0252-9599

edcam@fudan.edu.cn

021-65642338

200433

上海市邯郸路220号复旦大学

数学年刊B辑（英文版）/Journal Chinese Annals of Mathematics,Series BCSCDCSTPCD北大核心SCI
查看更多>>本刊作为国家教委委托复旦大学主办的、著名数学家苏步青院士任名誉主编的、李大潜院士任主编的（1999年开始）、一份面向国内外的综合性的数学刊物，主要用英文刊登纯粹数学和应用数学两方面具有创造性的学术论文，其中包括几何、拓扑、代数、偏微分方程、常微分方程、控制论、泛函分析、函数论、计算数学、概率统计、运筹学、数理逻辑等各数学分支学科的学术论文。面向高等学校教师、研究生、高年级学生和从事数学、应用数学专业的科研人员及其他的数学工作者。在《数学年刊》B辑上发表的论文被美国的《科学引文索引》的扩充版（SCIE）、《计算数学引文索引》（CMCI）、美国和西德出版的《数学评论杂志》、美国出版的《当代数学出版物》（CMP）和《中国科学文摘》、《中国数学文摘》、《CUJA》、《中国学术期刊文摘》、《中国学术期刊文摘（光盘版）》、《中国科学引文索引》、《中国科技论文统计源》、《万方数据——数字化期刊群》等12种期刊和数据库摘录和评论。
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    Splitting Method for Support Vector Machine in Reproducing Kernel Banach Space with a Lower Semi-continuous Loss Function

    Mingyu MOYimin WEIQi YE
    823-854页
    查看更多>>摘要：In this paper,the authors employ the splitting method to address support vector machine within a reproducing kernel Banach space framework,where a lower semi-continuous loss function is utilized.They translate support vector machine in reproducing kernel Banach space with such a loss function to a finite-dimensional tensor optimization problem and propose a splitting method based on the alternating direction method of mul-tipliers.Leveraging Kurdyka-Lojasiewicz property of the augmented Lagrangian function,the authors demonstrate that the sequence derived from this splitting method is globally convergent to a stationary point if the loss function is lower semi-continuous and subana-lytic.Through several numerical examples,they illustrate the effectiveness of the proposed splitting algorithm.
      原文链接:
    • NETL
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    Multi-dimensional Backward Stochastic Differential Equations of Diagonally Quadratic Generators with a Special Structure

    Guang YANG
    855-868页
    查看更多>>摘要：The present paper is devoted to the well-posedness of a type of multi-dimensional backward stochastic differential equations(BSDE for short)with a diagonally quadratic generator.The author gives a new priori estimate,and prove that the BSDE admits a unique solution on a given interval when the generator has a sufficiently small growth of the off-diagonal elements(i.e.,for each i,the i-th component of the generator has a small growth of the j-th row zj of the variable z for each j≠i).Finally,a solvability result is given when the diagonally quadratic generator is triangular.
      原文链接:
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    Persistence Approximation Property for Lp Operator Algebras

    Hang WANGYanru WANGJianguo ZHANGDapeng ZHOU...
    869-904页
    查看更多>>摘要：In this paper,the authors study the persistence approximation property for quantitative K-theory of filtered Lp operator algebras.Moreover,they define quantita-tive assembly maps for Lp operator algebras when p ∈[1,∞).Finally,in the case of Lp crossed products and Lp Roe algebras,sufficient conditions for the persistence approxima-tion property are found.This allows to give some applications involving the Lp(coarse)Baum-Connes conjecture.
      原文链接:
    • NETL
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    Eigenvalues of Second-Order Left-Definite Linear Difference Operator with Spectral Parameters in Boundary Conditions

    Chenghua GAOJingjing WANGXiaobin YAOXueqin CAO...
    905-926页
    查看更多>>摘要：In this paper,the authors consider the spectra of second-order left-definite d-ifference operator with linear spectral parameters in two boundary conditions.First,they obtain the exact number of this kind of eigenvalue problem,and prove these eigenvalues are all real and simple.In details,they get that the number of the positive(negative)eigenvalues is related to not only the number of positive(negative)elements in the weight function,but also the parameters in the boundary conditions.Second,they obtain the interlacing properties of these eigenvalues and the sign-changing properties of the cor-responding eigenfunctions according to the relations of the parameters in the boundary conditions.
      原文链接:
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    Conjugate Surfaces of a Family of Minimal Surfaces of Genus 1 with 4 Planar Ends in R3

    Yulin SHIPeng WANGXiaozhen WANG
    927-942页
    查看更多>>摘要：Costa first constructed a family of complete minimal surfaces which have genus 1 and 4 planar ends by use of Weierstrass-(o)functions.They are Willmore tori of Willmore energy 167r.In this paper,the authors consider the geometry of conjugate surfaces of these surfaces.It turns out that these conjugate surfaces are doubly periodic minimal surfaces with flat ends in R3.Moreover,the authors can also perform a Lorentzian deformation on these Costa's minimal tori,which produce a family of complete space-like stationary surfaces(i.e.,of zero mean curvature)with genus 1 and 4 planar ends in 4-dimensional Lorentz-Minkowski space R41.
      原文链接:
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    Open Cones and K-Theory for lp Roe Algebras

    Jianguo ZHANG
    943-956页
    查看更多>>摘要：In this paper,the author verifies the lp coarse Baum-Connes conjecture for open cones and shows that the K-theory for lp Roe algebras of open cones is independent of p ∈[1,∞).Combined with the result of Fukaya and Oguni,he gives an application to the class of coarsely convex spaces that includes geodesic Gromov hyperbolic spaces,CAT(0)-spaces,certain Artin groups and Helly groups equipped with the word length metric.
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    An Attempt at Axiomatization of Extending Mechanism of Solutions to the Fluid Dynamical Systems

    Jinkai LIMeng WANGWendong WANG
    957-970页
    查看更多>>摘要：Note that some classic fluid dynamical systems such as the Navier-Stokes equations,Magnetohydrodynamics(MHD for short),Boussinesq equations and etc.,are observably different from each other but obey some energy inequalities of the similar type.In this paper,the authors attempt to axiomatize the extending mechanism of solutions to these systems,merely starting from several basic axiomatized conditions such as the local existence,joint property of solutions and some energy inequalities.The results established have nothing to do with the concrete forms of the systems and,thus,give the extending mechanisms in a unified way to all systems obeying the axiomatized conditions.The key tools are several new multiplicative interpolation inequalities of Besov type,which have their own interests.
      原文链接:
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    A Brief Approach to a Riemann-Hilbert Problem on Quasi-circles

    Tailiang LIUYuliang SHEN
    971-978页
    查看更多>>摘要：The authors introduce the Sobolev space H1/2(Γ)on a quasi-circle Γ and give a fast approach to the jump formula which gives a decomposition of an element in H1/2(Γ)as the boundary values of two Dirichlet functions in the complementary domains of Γ.
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