arXiv:math/0611489 Abstract

arXiv:math/0611489 [math.AP]Abstract References Reviews Resources

Global existence of null-form wave equations in exterior domains

Published 2006-11-16Version 1

We provide a proof of global existence of solutions to quasilinear wave equations satisfying the null condition in certain exterior domains. In particular, our proof does not require estimation of the fundamental solution for the free wave equation. We instead rely upon a class of Keel-Smith-Sogge estimates for the perturbed wave equation. Using this, a notable simplification is made as compared to previous works concerning wave equations in exterior domains: one no longer needs to distinguish the scaling vector field from the other admissible vector fields.

Comments: 29 pages. To appear in Math. Z

Categories: math.AP

Subjects: 35L70

Keywords: null-form wave equations, exterior domains, global existence, quasilinear wave equations, free wave equation

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