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Seminar

Gluing semiclassical resolvent estimates via propagation of singularities. December 07, 2010
Location: MSRI: Baker Board Room
Speaker(s) Kiril Datchev
Description 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.

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