arXiv:math/0409363 Abstract

arXiv:math/0409363 [math.AP]Abstract References Reviews Resources

Global existence of quasilinear, nonrelativistic wave equations satisfying the null condition

Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge

Published 2004-09-20Version 1

We prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles. This extends the result of our previous paper by allowing general higher order terms. In the currect setting, these terms are much more difficult to handle than for the free wave equation, and we do so using an analog of a pointwise estimate due to Kubota and Yokoyama.

Comments: 65 pages

Categories: math.AP

Subjects: 35L70, 42B99

Keywords: nonrelativistic wave equations satisfying, global existence, null condition, general higher order terms, quasilinear

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