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

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

2004-09-20

arxiv.org/abs/math/0409363v1

Mathematics

Analysis of PDEs

65 pages

Scientific paper

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.

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