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/