On General Balance Laws with Boundary

Details On General Balance Laws with Boundary On General Balance Laws with Boundary

2008-10-29

arxiv.org/abs/0810.5246v1

Mathematics

Analysis of PDEs

36 pages, 3 figures

Scientific paper

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.

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