Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries
We consider the boundary value problem for the radiative transfer equation with mirror reflection and refraction conditions subject to the Fresnel laws in a system of bodies with piecewise smooth boundaries. In the case of data in the complete scale of Lebesgue spaces, we establish the existence and uniqueness of a solution. We obtain estimates for the solution and study the conjugate problem.