On Global existence for nonlinear wave equations outside of convex obstacles

Details On Global existence for nonlinear wave equations outside of convex obstacles On Global existence for nonlinear wave equations outside of convex obstacles

1999-12-26

arxiv.org/abs/math/9912201v1

Mathematics

Analysis of PDEs

To appear in American Journal of Mathematics

Scientific paper

We prove global existence for semilinear hyperbolic equations that satisfy
the null condition of Christodoulou and Klainerman in the exterior of convex
domains. We use a combination of the conformal method of Christodoulou and the
direct method of Klainerman.

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