Reflections on fractional Laplacians
Location: MSRI: Simons Auditorium
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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