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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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    A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients

    Yu PENGXiandong SUNHuichun ZHANG
    1-10页
    查看更多>>摘要：The authors will use a method in metric geometry to show an Lp-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients,even the BMO semi-norms of the coefficients are not small.They also extend them to the weak solutions to parabolic equations.
      原文链接:
    • 万方数据
    • 维普

    Sequential Propagation of Chaos for Mean-Field BSDE Systems

    Xiaochen LIKai DU
    11-40页
    查看更多>>摘要：A new class of backward particle systems with sequential interaction is proposed to approximate the mean-field backward stochastic differential equations.It is proven that the weighted empirical measure of this particle system converges to the law of the McKean-Vlasov system as the number of particles grows.Based on the Wasserstein met-ric,quantitative propagation of chaos results are obtained for both linear and quadratic growth conditions.Finally,numerical experiments are conducted to validate our theoretical results.
      原文链接:
    • 万方数据
    • 维普

    Time-Periodic Solutions to Quasilinear Hyperbolic Systems on General Networks

    Peng QU
    41-72页
    查看更多>>摘要：For quasilinear hyperbolic systems on general networks with time-periodic boundary-interface conditions with a dissipative structure,the existence and stability of the time-periodic classical solutions are discussed.
      原文链接:
    • 万方数据
    • 维普

    The Existence of a Meridional Curve in Closed Incompressible Surfaces in Fully Alternating Link Complements

    Wei LIN
    73-80页
    查看更多>>摘要：Menasco showed that a closed incompressible surface in the complement of a non-split prime alternating link in S3 contains a circle isotopic in the link complement to a meridian of the links.Based on this result,he was able to argue the hyperbolicity of non-split prime alternating links in S3.Adams et al.showed that if F ⊂ S × I \ L is an essential torus,then F contains a circle which is isotopic in S × I \ L to a meridian of L.The author generalizes his result as follows:Let S be a closed orientable surface,L be a fully alternating link in S × I.If F ⊂ S × I\L is a closed essential surface,then F contains a circle which is isotopic in S × I \ L to a meridian of L.
      原文链接:
    • 万方数据
    • 维普

    Well-Posedness of Stochastic Continuity Equations on Riemannian Manifolds

    Luca GALIMBERTIKenneth H.KARLSEN
    81-122页
    查看更多>>摘要：The authors analyze continuity equations with Stratonovich stochasticity,∂ρ+divh[ρo(u(t,x)+N∑i=1ai(x)(W)i(t))]=0 defined on a smooth closed Riemannian manifold M with metric h.The velocity field u is perturbed by Gaussian noise terms W1(t),…,WN(t)driven by smooth spatially dependent vector fields a1(x),…,aN(x)on M.The velocity u belongs to L1tWx,2 with divh u bounded in Lpt,x for p＞d+2,where d is the dimension of M(they do not assume divh u ∈ L∞t,x).For carefully chosen noise vector fields ai(and the number N of them),they show that the initial-value problem is well-posed in the class of weak L2 solutions,although the problem can be ill-posed in the deterministic case because of concentration effects.The proof of this"regularization by noise"result is based on a L2 estimate,which is obtained by a duality method,and a weak compactness argument.
      原文链接:
    • 万方数据
    • 维普

    Small Cycles Property of Some Cremer Rational Maps and Polynomials

    Rong FUJi ZHOU
    123-136页
    查看更多>>摘要：This paper concerns the linearization problem on rational maps of degree d≥2 and polynomials of degree d＞2 from the perspective of non-linearizability.The authors introduce a set ψ∞ of irrational numbers and show that if a ∈ ψ∞,then any rational map is not linearizable and has infinitely many cycles in every neighborhood of the fixed point with multiplier λ=e2πiα.Adding more constraints to cubic polynomials,they discuss the above problems by polynomial-like maps.For the family of polynomials,with the help of Yoccoz's method,they obtain its maximum dimension of the set in which the polynomials are non-linearizable.
      原文链接:
    • 万方数据
    • 维普

    Two Applications of the ?(?)-Hodge Theory

    Dingchang WEIShengmao ZHU
    137-150页
    查看更多>>摘要：Using Hodge theory and Banach fixed point theorem,Liu and Zhu developed a global method to deal with various problems in deformation theory.In this note,the authors generalize Liu-Zhu's method to treat two deformation problems for non-Kähler manifolds.They apply the ∂(∂)-Hodge theory to construct a deformation formula for(p,q)-forms of compact complex manifold under deformations,which can be used to study the Hodge number of complex manifold under deformations.In the second part of this note,by using the ∂∂-Hodge theory,they provide a simple proof of the unobstructed deformation theorem for the non-Kähler Calabi-Yau ∂(-∂)-manifolds.
      原文链接:
    • NETL
    • NSTL
    • 万方数据

    ∞-Tilting Subcategories in Extriangulated Categories

    Zhen ZHANGJiaqun WEIShance WANG
    151-160页
    查看更多>>摘要：In this paper,the authors introduce a new definition of oo-tilting(resp.cotilt-ing)subcategories with infinite projective dimensions(resp.injective dimensions)in an extriangulated category.They give a Bazzoni characterization of ∞-tilting(resp.cotilting)subcategories.Also,they obtain a partial Auslander-Reiten correspondence between ∞-tilting(resp.cotilting)subcategories and coresolving(resp.resolving)subcategories with an E-projective generator(resp.E-injective cogenerator)in an extriangulated category.
      原文链接:
    • 万方数据
    • 维普

    INSTRUCTIONS TO AUTHORS

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      原文链接:
    • 万方数据
    • 维普