Soluciones de entropía para una clase no lineal de sistemas parabólicos que involucran conjuntos de datos medibles en espacios de Orlicz no reflexivos

This paper deals with an existence result of entropy solutions for a nonlinear parabolic systems of the form ∂ui/∂t - div (a(x, t, ui, ∇ui) + Φi(x, t, ui)) = fi(x, u1, u2) - div(Fi) in QTui = 0  on Γui(t = 0) = ui,0  in Ω, where the lower order term Φ satisfies a growth condition prescribed by the Nfunction M defining the framework spaces (see section 2.1) and the right hand side is a measure datum. The main term which contains the space derivatives and a non-coercive lower order term are considered in divergence form satisfying only the original Orlicz growths. We don’t assume any restriction neither on M nor on its complementary M. Therefor, we work in a nonreflexive Orlicz spaces.