Speaker:
Katya Krupchyk
Institution:
University of Helsinki and UCLA
Time:
Thursday, November 21, 2013 - 2:00pm
Location:
RH 340P
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.