BOUNDARY VALUE PROBLEM FOR THE RADIATIVE TRANSFER EQUATION WITH NON-LAMBERT DIFFUSE REFLECTION AND DIFFUSE REFRACTION CONDITIONS

摘要

We study the boundary value problem describing the stationary process of monochromatic radiative transfer in a system of semitransparent three-dimensional bodies Gj with the non-Lambert diffuse reflection and refraction conditions on boundaries of the bodies. We establish the unique solvability of the problem with data in the complete scale of Lebesgue spaces and prove estimates for the solutions.