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Seminar

Gluing semiclassical resolvent estimates via propagation of singularities. December 07, 2010
Parent Program: --
Location: SLMath: Baker Board Room
Speaker(s) Kiril Datchev (Purdue University)
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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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