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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 areastrict 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: https://youtu.be/OWfwgxyQSR4 