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$%G. Vallet, Dirichlet problem for a nonlinear conservation law, Rev. Mat. Complut. 13 (2000), no. 1, 231–250.%$

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.

1991 Mathematics Subject Classification: 35L60, 35L64, 35A05.