Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics

Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew

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Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics

Date

2010

Authors

Burq, Nicolas

Guillarmou, Colin

Hassell, Andrew

Publisher

Birkhauser Verlag

Abstract

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