2008/10/29 by Rinaldo M. Colombo, Colombo, Rinaldo M., Graziano Guerra +1
Mathematics · #35L50 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L50 #msc:35L65
paper · pdf · doi:10.48550/arxiv.0810.5246
36 pages, 3 figures
arxiv created 2008/10/29 · arxiv updated 2009/12/01
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.