Abstract for the talk at 25.11.2014 (16:45 h)Oberseminar ANALYSIS - PROBABILITY
Daniel Faraco (Autonomous University of Madrid, Spain)
Carleson meets Calderón
I will present a surprising connection between the inverse problem which consists of determining a potential from the scattering amplitude at fixed energy and Carlesson problem of convergence to initial data of the time dependent non elliptic Schrödinger equation. As a byproduct we show that potential with half derivative square integrable can be recovered from the scattering amplitude and that the method fails below that regularity. This is a joint work with Kari Astala from Helsinki and Keith M Rogers from Madrid.