Decay estimates for variable coefficient wave equations in exterior domains

Mathematics – Analysis of PDEs

Scientific paper

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15 pages. In the new version, some typos are fixed and a minor correction was made to the proof of Lemma 12

Scientific paper

In this article we consider variable coefficient, time dependent wave
equations in exterior domains. We prove localized energy estimates if the
domain is star-shaped and global in time Strichartz estimates if the domain is
strictly convex.

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