Decay estimates for variable coefficient wave equations in exterior domains

Abstract

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.

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

Cited by in corpus (1)

• The semilinear wave equation on asymptotically euclidean manifolds