Classical global solutions for compressible radiative flow in a slab under semi-reflexive boundary conditions

Classical global solutions are established for a model of compressible radiative flow in a slab under semi-reflexive boundary conditions using energy-entropy estimates and a homotopic version of the Leray-Schauder fixed point Theorem together with classical Friedman-Schauder estimates for linear second order parabolic equations in boundary Hölder spaces.