Almost global existence for some semilinear wave equations

Details Almost global existence for some semilinear wave equations Almost global existence for some semilinear wave equations

2001-08-02

arxiv.org/abs/math/0108016v1

Mathematics

Analysis of PDEs

To appear in Journal d'Analyse. A paper on the quasilinear case will follow

Scientific paper

We prove almost global existence for semilinear wave equations outside of
nontrapping obstacles. We use the vector field method, but only use the
generators of translations and Euclidean rotations. Our method exploits 1/r
decay of wave equations, as opposed to the much harder to prove 1/t decay.

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