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arXiv · 1211.1211

Strichartz estimates on exterior polygonal domains

Dean Baskin·Jeremy L. Marzuola·Jared Wunsch
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Abstract

Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal obstacles with arbitrary boundary conditions and global-in-time Strichartz estimates without a loss exterior to a large class of polygonal obstacles with Dirichlet boundary conditions. In addition, we prove a global-in-time local smoothing estimate in exterior wedge domains with Dirichlet boundary conditions and discuss some nonlinear applications.

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Dean Baskin, Jeremy L. Marzuola, Jared Wunsch. 2013-04-19. Strichartz estimates on exterior polygonal domains. https://arxiv.org/abs/1211.1211

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