Strichartz estimates without loss outside two strictly convex obstacles

David Lafontaine

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arXiv · 1709.03836

Strichartz estimates without loss outside two strictly convex obstacles

David Lafontaine

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Abstract

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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David Lafontaine. 2017-09-12. Strichartz estimates without loss outside two strictly convex obstacles. https://arxiv.org/abs/1709.03836

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