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Graduate Seminar

Adrian Hagerty
Carnegie Mellon University
Title: A Relaxing Look at Radon Measures

Abstract: If we have a sequence of functions whose integrals are bounded, we can't necessarily find a weak limit in the space of functions. In general, limits may be Radon measures with support on singular sets. This raises a natural question: What is the "right choice" for an extension of an integral functional onto the space of Radon measures?

I will discuss what sort of continuity we can expect from integral functionals on measures and the relevant notions of area-strict convergence and recession functions. In particular this gives us a nice picture for integral relaxation in the space BV, the natural domain for considering energies which are linear in the gradient term.

Date: Tuesday, October 3, 2017
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Yangxi Ou
Note: Video on YouTube: