Strichartz estimates without loss outside two strictly convex obstacles

David Lafontaine

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Strichartz estimates without loss outside two strictly convex obstacles

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arxiv 1709.03836 v1 pith:IWNCOHAI submitted 2017-09-12 math.AP

David Lafontaine This is my paper · ORCID

classification math.AP

keywords lossconvexestimatesobstaclesoutsidestrichartzstrictlywithout

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We prove global Strichartz estimates without loss outside two strictly convex obstacles, combining arguments from M.Ikawa (1982,1988) with more recent ones inspired by N.Burq, C.Guillarmou, and A. Hassell (2010) and O. Ivanovici (2010). This is to be contrasted with the loss in the smoothing estimate for the Schr\"odinger equation with Dirichlet boundary conditions in the presence of a trapped geodesic.

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