Event

K. Luli , UCSD

Friday, October 26, 2018 14:00to15:00
Burnside Hall Room 1120, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Variational Problems on Arbitrary SetsĀ 

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 >= 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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