Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries

Resumo

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.