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 Events
University of Toronto
Thu 4 Jan 2018, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBA
TBA
TBA
Thu 4 Jan 2018, 3:30pm-5:00pm

Abstract

 
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Kevin Luli
UC-Davies
Tue 9 Jan 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
Variational Problems on Arbitrary Sets
ESB 2012
Tue 9 Jan 2018, 3:30pm-4:30pm

Abstract

 : 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.
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