Analysis/PDE Seminar - Katya Krupchyk, University of Helsinki (visiting UCLA) Resolvent estimates for elliptic operators

Event Date: 

Friday, November 8, 2013 - 3:00pm to 4:00pm

Event Location: 

  • 4607B South Hall

Abstract: We establish uniform $L^p$ estimates for resolvents of elliptic self-adjoint differential operators on compact manifolds without boundary. We also show that the spectral regions in our resolvent estimates are optimal in general. Applications to spectral theory of periodic Schr"odinger operators and to inverse boundary problems will be given. This is joint work with Gunther Uhlmann.