Global-in-time Strichartz estimates on non-trapping asymptotically conic manifolds

Abstract

We prove global-in-time Strichartz estimates without loss of derivatives for the solution of the Schroedinger equation on a class of non-trapping asymptotically conic manifolds. We obtain estimates for the full set of admissible indices, including the endpoint, in both the homogeneous and inhomogeneous cases. This result improves on the results in earlier papers of Hassell-Tao-Wunsch and Mizutani which were local in time.

40 pages, 2 figures. We have added some additional explanation concerning results used from earlier papers, particularly those related to the Legendre structure of the spectral measure