Wednesday, October 1, 2014 - 12:30pm to 1:30pm
Cockins Hall 240
Title: Movement by "Integral Mean Curvature" and the Associated Free Boundary Problem
Speaker: Luis Caffarelli, University of Texas at Austin
Abstract: Non local phase transition problems were discussed, for instance, by Chen and Fife, where they propose that the evolution of the interphase is dictated by a global interaction between the two phases. We will describe the corresponding movement by non local mean curvature, and the properties of the solution to a problem where Dirichlet energy and non local minimal surfaces interact.