Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics

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 Show more