Local Smoothing for Scattering Manifolds with Hyperbolic Trapped Sets

We prove a resolvent estimate for the Laplace-Beltrami operator on a scattering manifold with a hyperbolic trapped set, and as a corollary deduce local smoothing. We use a result of Nonnenmacher-Zworski to provide an estimate near the trapped region, a result of Burq and Cardoso-Vodev to provide an...

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Vydané v:	Communications in mathematical physics Ročník 286; číslo 3; s. 837 - 850
Hlavný autor:	Datchev, Kiril
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.03.2009 Springer
Predmet:	Classical and Quantum Gravitation Complex Systems Exact sciences and technology Mathematical analysis Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Operator theory Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Relativity Theory Sciences and techniques of general use Several complex variables and analytic spaces Theoretical Pseudodifferential Operator Principal Symbol Manifold Local Smoothing Resolvent Estimate Laplace operator Mathematical manifolds Smoothing methods Resolvent Smoothing Mathematical physics
ISSN:	0010-3616, 1432-0916
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