TY - GEN A1 - Lichtner, Mark A1 - Radziunas, Mindaugas T1 - Well Posedness and Smooth Dependence for a Semilinear Hyperbolic System with Nonsmooth Data N2 - We prove the existence, uniqueness, regularity and smooth dependence of the weak solution on the initial data for a certain class of semilinear first order dissipative hyperbolic systems with spacially discontinuous coefficients. Such kind of hyperbolic problems have succesfully been used to describe the dynamics of distributed feedback multisection semiconductor lasers in recent years. We show that in a suitable function space of continuous functions the weak solutions generate a smooth semiflow. Y1 - 2004 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/181 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-1819 ER -