Geodesic
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. 
@article{ZNSL_1996_234_a13,
     author = {V. A. Sharafutdinov},
     title = {Curvature and absorption},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {187--189},
     publisher = {mathdoc},
     volume = {234},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_234_a13/}
}
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V. A. Sharafutdinov. Curvature and absorption. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–1, Tome 234 (1996), pp. 187-189. http://geodesic.mathdoc.fr/item/ZNSL_1996_234_a13/