Wed, 04 Apr 2018

15:00 - 16:00
L5

Schauder theory for uniformly degenerate elliptic equations

Qing Han
(University of Notre Dame)
Abstract

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.

Oxford Mathematician John Allen, Professor Emeritus of Engineering Science, talks about his work on the electrohydrodynamic stability of a plasma-liquid interface. His collaborators are Joshua Holgate and Michael Coppins at Imperial College.

Oxford Mathematician John Ball has won the European Academy of Sciences Leonardo da Vinci award. The award is given annually for outstanding lifetime scientific achievement. In the words of the Committee,  "through a research career spanning more than 45 years, Professor Ball has made groundbreaking and highly significant contributions to the mathematical theory of elasticity, the calculus of variations, and the mathematical analysis of infinite-dimensional dynamical systems."

Subscribe to