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Reflections on fractional Laplacians

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 14, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Rafe Mazzeo (Stanford University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
Abstract

I first discuss a new perspective on fractional Laplacians, leading to a sharp boundary regularity theory for this problem. This is a counterpoint to Grubb’s more analytic approach. Joint work with Gimperlein and Louca. I will then discuss the beginnings of a general theory being developed with Albin and Marzuola of Dirichlet-to-Neumann operators on domains with stratified boundary.

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