Curvature and absorption
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–1, Tome 234 (1996), pp. 187-189
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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.