%0 Journal Article %T Generalized solution of a mixed problem for linear hyperbolic system %A Lalla Saadia Chadli %A Said Melliani %A Aziz Moujahid %J Mathematics %D 2013 %I arXiv %X In the first part of this article, we will prove an existence-uniqueness result for generalized solutions of a mixed problem for linear hyperbolic system in the Colombeau algebra. In the second part, we apply this result to a wave propagation problem in a discontinuous environment. %U http://arxiv.org/abs/1305.2635v1