Joint BCAM-UPV/EHU Analysis and PDE seminar: Unique continuation for the fractional discrete Laplacian

LOCATION: BCAM Seminar Room and Online

Abstract
We present several qualitative and quantitative unique continuation properties for the fractional discrete Laplacian. Unlike the fractional continuous Laplacian, which enjoys striking rigidity properties in the form of global unique continuation, we will show that these properties fail to hold in general for the fractional discrete Laplacian.

We also discuss quantitative versions of unique continuation which illustrate how the properties in the continuous setting are recovered up to exponentially small (in terms of the lattice size) correction factors. Such quantitative versions will allow us to deduce stability properties for a linear inverse problem involving the fractional discrete Laplacian.

Joint work with Aingeru Fernández-Bertolin 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