INITIAL-BOUNDARY VALUE PROBLEM FOR THE NONSTATIONARY RADIATIVE TRANSFER EQUATION WITH DIFFUSE REFLECTION AND REFRACTION CONDITIONS

摘要

We consider the initial-boundary value problem for the nonstationary radiative transfer equation in a system of semitransparent bodies with the conditions of diffuse reflection and refraction of radiation. We establish the unique solvability of the problem with boundary and initial data in the complete scale of Lebesgue spaces. We obtain estimates for solutions.