Joint BCAM-UPV/EHU Analysis and PDE seminar: The Calderón problem for nonlocal operators

Abstract

The classical Calderón problem is the inverse problem which the electrical impedance tomography is based on. Its fractional counterpart can be studied by exploiting Runge approximation results for the fractional Laplacian, which are based on unique continuation or antilocal properties. In this talk we will consider other nonlocal operators which see conical domains and are generators of stable processes. We will see the implications of directional antilocality for the approximation theorems and for the associated Calderón problem and we will discuss the new phenomena which arise.

This is a joint work with Giovanni Covi and Angkana Róland.

Link to the session: 
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09

More info at https://sites.google.com/view/apdebilbao/home