In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.
@article{urn:eudml:doc:44397,
title = {Dirichlet problem for a nonlinear conservation law.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {13},
year = {2000},
pages = {231-250},
zbl = {0979.35099},
mrnumber = {MR1794912},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44397}
}
Vallet, Guy. Dirichlet problem for a nonlinear conservation law.. Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000) pp. 231-250. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44397/