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Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics

Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew


In [Do], Doi proved that the Lt2Hx1/2 local smoothing effect for Schrödinger equations on a Riemannian manifold does not hold if the geodesic flow has one trapped trajectory. We show in contrast that Strichartz estimates and L1 → L∞ dispersive estima

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Geometric and Functional Analysis
DOI: 10.1007/s00039-010-0076-5


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