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Flux ~ Capacity ~ Mass

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报告题目:Flux ~ Capacity ~ Mass

报告人: 肖杰

讲座日期:2019-07-02

讲座时间:10:10

报告地点:长安校区 数学与信息科学学院学术交流厅

主办单位:数学与信息科学学院

讲座人简介:

Jie XiaoUniversity Research Professor; PhD Peking, 1992; Alexander von Humboldt Research Fellow, 1999; Dean of Science Distinguished Scholar Medal, 2009.

Dr. Xiao's research and teaching interests lie in geometric analysis and partial differential equations. In particular, Dr. Xiao works on the interactions between harmonic analysis, complex variables and operator theory, but also applies techniques coming from function spaces and potential theory to the study of conformal-convex-differential geometry and heat-type equations and Navier-Stokes equations. Here are some of his recent articles:

•     P-capacity vs surface-area, Adv. Math. 208(2017)1318-1336

•     Isoperimetry for semilinear torsion problems in Riemannian two-manifolds, Adv. Math. 229(2012)2379-2404

•    Toward best isoperimetric constants for (H1,BMO)-normal conformal metrics on Rn, n>=3, Adv. Math. 220(2009)540-559

•     The Qp Carleson measure problem, Adv. Math. 217(2008)2075-2088.

•     Sharp Sobolev and isoperimetric inequalities split twice, Adv. Math. 211(2007)417-435

•     Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation, Adv. Math. 207(2006)828-846

Meanwhile, Dr. Xiao is the author of the following monographs and textbooks:

    Qa Analysis on Euclidean Spaces, De Gruyter, 2019

    Integral and Functional Analysis, Nova Science Publishers, 2008

    Geometric Qp Functions, Frontiers in Math., Birkhauser-Verlag, 2006

    Elementary Number Theory, International Press, 2006

    Holomorphic Q Classes, Lecture Notes in Math. 1767, Springer-Verlag, 2001

In addition, Dr. Xiao serves as:

    Founding Editor-in-Chief of the Advances in Analysis and Geometry

    Editor-in-Chief of the Canadian Mathematical Bulletin

    Associate Editor of the Journal of Mathematical Analysis and Applications

讲座内容简介:

This talk will address two optimal inequalities inserting electric capacity between entropy flux and graphical mass.

 

 

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