Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions

We consider a boundary value problem for the radiation transfer equation with reflection and refraction conditions describing a stationary process of the radiation transfer in multilayered semitransparent for radiation medium, consisting of m parallel vertical layers. We establish the existence and uniqueness of a solution for the problem with data from the spaces of L-p type, 1 <= p <= infinity. We also obtain a priori estimates for the solution.