Event
Ryan Gibara (University of Cincinnati)
Friday, May 24, 2024 11:00to12:00
Burnside Hall
1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: Sobolev spaces and Dirichlet problems on metric measure spaces
Abstract: In this talk, we will discuss one of the many generalisations of Sobolev functions to the setting of a metric measure space with no a priori smooth structure, the so-called Newton-Sobolev functions. In the setting of a doubling metric measure space supporting a Poincar茅 inequality, one is then able to study boundary-value problems via a variational characterization. In this talk, we will discuss progress being made on solving the Dirichlet problem in unbounded domains with boundary data in the Besov space. This is based on work with Luca Capogna, Riikka Korte, and Nageswari Shanmugalingam.
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Meeting ID: 831 8045 3914
Passcode: 719821
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