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Carleson meets Calderón

  • Daniel Faraco (Autonomous University of Madrid, Spain)
A3 01 (Sophus-Lie room)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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