Special Session 52: Harmonic Analysis and Partial Differential Equations

Integral Operators and Boundary Value Problems for Weakly Elliptic Systems

Marius Mitrea
Baylor University
USA
Co-Author(s):    
Abstract:
I will report on progress in the direction of understanding when a boundary value problem for a weakly elliptic system is well posed, or at least Fredholm solvable, on a variety of function spaces, and in rather general geometric settings. At the center of this discussion is the notion of distinguished coefficient tensor, which has a decisive influence on the Fredholmness and invertibility properties of the boundary layer potential operators associated with the given system.