Burq, NicolasGuillarmou, ColinHassell, Andrew2015-12-101016-443Xhttp://hdl.handle.net/1885/53047In [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 estimaKeywords: hyperbolic trapped set; Schrödinger equation; Strichartz estimates201010.1007/s00039-010-0076-52016-02-24