On Global existence for nonlinear wave equations outside of convex obstacles

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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.
To appear in American Journal of Mathematics

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Analysis of PDEs, Classical Analysis and ODEs, 35L70; 42B99

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http://salesiana.dossiersoluciones.com/handle/123456789/79669

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912201
 http://arxiv.org/abs/math/9912201

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arXiv