On General Balance Laws with Boundary
Analysis of PDEs
2008-10-30 v1
Abstract
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.
Cite
@article{arxiv.0810.5246,
title = {On General Balance Laws with Boundary},
author = {Rinaldo M. Colombo and Graziano Guerra},
journal= {arXiv preprint arXiv:0810.5246},
year = {2008}
}
Comments
36 pages, 3 figures