Curvature and absorption

The problem of finding a distribution of the sources of particles (or radiation) in a bounded domain $D$ by the outputting flow through the boundary $\partial D$ is considered. It is assumed that the domain $D$ is filled with a medium whose absorption, scattering diagram, and Riemannian metric are known. Under certain assumptions on these characteristics of the medium, the uniqueness of a solution and its stability are proved.