邓大文导师主页
基本信息
姓名: 邓大文
职称: 教授
单位电话: 0731-52377619
电子信箱: tmtang@xtu.edu.cn
办公室: 数学与应用数学系
个人主页:
个人简介

1961年生,香港人.
研究方向

偏微分方程分形几何
科研项目

国家自然科学基金项目:《分形上平方可积函数空间指数型基的研究》,2008-2010. 主要成员 湖南省自然科学基金项目:《分形铺砖的结构与分形集合的嵌入》,2012-2014. 主持人 国家自然科学基金项目:《流体运动系统无粘极限的研究》, 2013-2017. 主要成员
科研成果

[22] Da-Wen Deng, Sze-Man Ngai, Eigenvalue estimates on measure spaces, Journal of Functional Analysis 268(8)(2015), 2231-2260. (SCI) [21] Da-Wen Deng, Sze-Man Ngai, Fractal tiles and quasidisks, Mathematische Zeitschrift 279(2015), 359-387. (SCI) [20] Jia Jia, Shun-Guang Kang, Tai-Man Tang, An asymptotic property of the Camassa-Holm equation, Nonlinear Analysis: Theory, Methods and Applications, 97(2014), 55-64. (SCI) [19] Yu-long Deng, Caihong Hu, Shunchao Long, Tai-Man Tang, Joerg Thuswaldner and Lifeng Xi, On a variant of the Kakeya problem in R, Archiv der Mathematik 101(2013), 395-400. (SCIE) [18] Wei-Wei Guo, Tai-Man Tang, Evolutions of the momentum density, deformation tensor and the nonlocal term of the Camassa-Holm equation, Nonlinear Analysis: Theory, Methods and Applications, 88(2013), 16-23. (SCI) [17] Da-Wen Deng, Tao Jiang and Sze-Man Ngai, Structure of planar integral self-affine tilings, Mathematische Nachrichten, 285(4)(2012), 447-475.(SCI) [16] Shun-Guang Kang, Tai-ManTang, The support of the momentum density of the Camassa-Holm equation, Applied Mathematics Letters, 24(2011), 2128-2132. (SCI). [15] Tao Jiang, Zhou Huang, Na-Na Zhang, Shu-Juan Duan, Dan Liu and Da-Wen Deng, A planar self-affine tile with Cantor set intersections with its translates, Natural Science Journal of Xiangtan University, 33(1)(2011), 7-10. [14]Shu-Juan Duan, Dan Liu, Tai-Man Tang, An integral self-affine tile withCantor set intersections with its neighbors, Integers 9, 2009, 227-237. [13] Kun Ren and Tai-Man Tang, Asymptotic behavior of vortices in axisymmetric flow without swirl, Mathematical Methods in the Applied Sciences 31(18), 2008, 2202-2218. (SCIE) [12]邓大文, 任坤, 半平面上不可压粘性流涡量的渐近行为, 湘潭大学自然科学学报, 29(3), 2007,14-19 . [11] Tai-Man Tang, Wild tiles in R^3 with spherical boundaries, Fundam. Prikl. Mat. 11 (2005), no. 4, 203—211. [10] Da-Wen Deng and Sze-Man Ngai, Vertices of self-similar tiles, Illinois Journal of Mathematics, 49(3), (Fall 2005),857-872 . (SCIE) [9] Tai-Man Tang, Arcwise connectedness of the boundary of connected self-similar sets, Acta Math.Hungar.109(4) (2005), 295-303. (SCIE) [8] Sze-Man Ngai and Tai-Man Tang, Topology of connected self-similar tiles in the plane with disconnected interiors, Topology and its Applications, 150 (2005), 139-155. (SCIE) [7] Sze-Man Ngai and Tai-Man Tang, A technique in the topology of connected self-similar tiles, Fractals 12(4) (2004), 389-403. (SCI) [6] Tai-Man Tang, Crumpled cube and solid horned sphere space fillers, Discrete and Computational Geometry 31(3) (2004), 421-433. (SCI) [5] Tai-Man Tang, On Quotients of Positive Definite Functions, Acta Math. Hung. 89(3) (2000), 247-251. (SCIE) [4] Koon-lam Shea, Tai-Man Tang and Ping-shu Tso, Optimal Investment Sequence, Economic Theory 15 (2000), 215-219.(SSCI) [3] Tai-Man Tang, The Maximal Ideal Space of a class of C*-algebras of Pseudodifferential Operators, Acta Sci. Math. (Szeged) 64 (1998), 733-740. [2] Tai-Man Tang, A C*-algebra of Singular Integral Operators on the Half Line, Journal of Mathematical Analysis and Applications 182 (1994), 594-606.(SCI) [1] H.O.Cordes and T.M.Tang, On the C*-algebra of a class of Singular Sturm-Liouville Expressions on the real Line, Noti Di Matematica 11 (1991), 93-108.