The Department of Mathematical Sciences presents
a colloquium by
Professor Changyou
Wang
Thursday,
November 1, 2007
Room 801 Old Chemistry
Bldg
4 – 5 pm
Asymptotics of infinity harmonic functions near
isolated singularity
Abstract
In this talk, I first review some
basic facts and properties
of infinity harmonic functions (i.e. the limit
of p-harmonic
functions as p tends to infinity), which was first introduced by
Aronsson
and later studied by Jensen, Evans, Crandall, and
many others. It also has connection to image recovery,
random game
theory.
Then I will describe a recent work on
the asymptotic
behavior
of infinity harmonic function near a
non-removable
singularity, namely, it is asymptotically
a
cone:
u(x)=u(x_0)+c|x-x_0|+o(|x-x_0|)
Refreshments will be served at 3:30
pm
in the Faculty and Graduate Student Lounge
Room 840 of the