On General Balance Laws with Boundary

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This paper is devoted to general balance laws (with a possibly non local source term) with a non-characteristic boundary. Basic well posedness results are obtained, trying to provide sharp estimates. In particular, bounds tend to blow up as the boundary tends to be characteristic. New uniqueness results for the solutions to conservation and/or balance laws with boundary are also provided.
36 pages, 3 figures

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Analysis of PDEs, 35L50; 35L65

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http://salesiana.dossiersoluciones.com/handle/123456789/172689

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.5246
 http://arxiv.org/abs/0810.5246

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arXiv