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Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds III: Global-in-time Strichartz estimates without loss

Chen, Xi


In the present paper, we investigate global-in-time Strichartz estimates without loss on non-trapping asymptotically hyperbolic manifolds. Due to the hyperbolic nature of such manifolds, the set of admissible pairs for Strichartz estimates is much larger than usual. These results generalize the works on hyperbolic space due to Anker–Pierfelice and Ionescu–Staffilani. However, our approach is to employ the spectral measure estimates, obtained in the author's joint work with Hassell, to establish...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Annales de l'Institut Henri Poincare (C) Non Linear Analysis
DOI: 10.1016/j.anihpc.2017.08.003
Access Rights: Open Access


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