Gluing semiclassical resolvent estimates via propagation of singularities.
Tags:
Graduate
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Postdoc
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Scientific
| Time: | 11:00AM - 12:00PM |
| Location: | MSRI, Baker Board Room |
| Speaker: | Kiril Datchev |
Abstract: We use semiclassical propagation of singularities to give a
general method for gluing together resolvent estimates. As an
application we prove estimates for the analytic continuation of the
resolvent of a Schroedinger operator for certain asymptotically
hyperbolic manifolds in the presence of trapping which is
sufficiently mild in one of several senses. As a corollary we obtain
local exponential decay for the wave propagator and local smoothing
for the Schroedinger propagator. This project is joint work with
Andras Vasy.
