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. New uniqueness results for the solutions to conservation and/or balance laws with boundary are also provided.
Colombo, R., Guerra, G. (2010). On general balance laws with boundary. JOURNAL OF DIFFERENTIAL EQUATIONS, 248(5), 1017-1043 [10.1016/j.jde.2009.12.002].
On general balance laws with boundary
GUERRA, GRAZIANO
2010
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. New uniqueness results for the solutions to conservation and/or balance laws with boundary are also provided.
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