PDE Seminar: Kevin Luli

  • Date: 01/09/2018
  • Time: 15:30
Kevin Luli, UC-Davies

University of British Columbia


Variational Problems on Arbitrary Sets


Let E be an arbitrary subset of R^n. Given real valued functions f defined on E and g defined on R^n, the classical obstacle problem asks for a minimizer of the Dirichlet energy subject to the following two constraints: (1) F = f on E and (2) F lies above g on R^n. In this talk, we will discuss how to use extension theory to construct (almost) solutions directly. We will also explain several recent results that will help lay the foundation for building a complete theory revolving around the belief that any variational problems that can be solved using PDE theory can also be dealt with using extension theory

Other Information: 

ESB 2012
Tue 9 Jan 2018, 3:30pm-4:30pm