https://sites.google.com/view/jesserailo/main?authuser=0
Thu, May 25, 2023, 9:00-10:00 am PDT via Zoom
Title: Unique continuation of the fractional Laplacians, Radon transforms and nonlocal inverse problems.
Abstract: We discuss recent results on the unique continuation of the fractional Laplacians and the related Caffarelli-Silvestre extension problem. We explain some of the implications to the analysis of Radon transforms with region-of-interest (ROI) type partial data and its further generalizations, studied recently by many different authors. We also present recent applications to inverse problems of the unique continuation of the fractional Laplacians for L^p functions. This talk will survey some of the advances related to the above mentioned topics.