中科院数学与系统科学研究院

数学研究所

 

数学物理研讨班

 

报告人  教授University of Notre Dame & BICMR

 Schauder theory for uniformly degenerate elliptic equations

  2018.06.04(星期一),10:00-11:00

  点:数学院南楼N913

  要:The uniformly degenerate elliptic equation is a special class of degenerate elliptic equations. It appears frequently in many important geometric problems. For example, the Beltrami-Laplace operator on conformally compact manifolds is uniformly degenerate elliptic, and the minimal surface equation in the hyperbolic space is also uniformly degenerate elliptic. In this talk, we discuss the global regularity for this class of equations in the classical Holder spaces. We also discuss some applications.

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