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

13 Apr 2015  ·  Hassell Andrew, Zhang Junyong ·

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. read more

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Analysis of PDEs