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- W3105742610 abstract "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 estimate near infinity, and the microlocal calculus on scattering manifolds to combine the two." @default.
- W3105742610 created "2020-11-23" @default.
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- W3105742610 date "2008-11-19" @default.
- W3105742610 modified "2023-09-26" @default.
- W3105742610 title "Local Smoothing for Scattering Manifolds with Hyperbolic Trapped Sets" @default.
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- W3105742610 doi "https://doi.org/10.1007/s00220-008-0684-1" @default.
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