Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

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We present recent developments concerning Lorentzian geometry in algebras of generalized functions. These have, in particular, raised a new interest in refined regularity theory for the wave equation on singular space-times.
5 pages, presented at the International Conference on Generalized Functions, GF07, September 2007, Bedlewo, Poland

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Analysis of PDEs, Mathematical Physics, 35L05; 58J45

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http://salesiana.dossiersoluciones.com/handle/123456789/142030

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1972
 http://arxiv.org/abs/0711.1972

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arXiv