Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew

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Burq, Nicolas ; Guillarmou, Colin ; Hassell, Andrew
58jxx, 35q41; mathematics - analysis of pdes; Keywords: hyperbolic trapped set; Schrödinger equation; Strichartz estimates
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
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