Eigenvalues and Best Sobolev Constants of Moving Domains

Title:  Eigenvalues and Best Sobolev Constants of Moving Domains

Speaker:  Jesse Ratzkin (Cape Town & UCC)

Date:  Tuesday, 2nd February 2016

Time:  4.15pm

Location:  UCD, Ag 1.01

Abstract:

Let D be a bounded domain in Euclidean space, and suppose its boundary moves outward. It follows from definitions that the fundamental frequency of D is a nonincreasing function of time. I will present some estimates of this rate of decrease, and characterize the case of equality.  This is joint work with Tom Carroll of the University of Cork and Moustapha Fall of AIMS Senegal.

 

Series: Analysis