Almost global existence for some semilinear wave equations

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

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Analysis of PDEs, 35L70

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http://salesiana.dossiersoluciones.com/handle/123456789/61957

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108016
 http://arxiv.org/abs/math/0108016

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arXiv