Special Session 52: Harmonic Analysis and Partial Differential Equations

On the Radon-Carleman Problem in Irregular Domains

Irina Mitrea
Temple University
USA
Co-Author(s):    
Abstract:
The talk focuses on recent advances in the Radon-Carleman Problem in irregular domains. Specifically we compute and/or estimate the essential norm and/or Fredholm radius of singular integral operators of double layer type, associated with second order elliptic PDE, on function spaces naturally intervening in the formulation of boundary value problems for said PDE. This program is carried out in a very general geometric setting and is based on joint work with Dorina Mitrea and Marius Mitrea, Baylor University.