Geodesic
On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces
Izvestiya. Mathematics , Tome 67 (2003) no. 6, pp. 1243-1266

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This paper deals with a boundary-value problem for the stationary integro-differential equation of radiation transport (transfer) in a many-component medium on whose interfaces conjugation conditions are given by Fresnel's formulae. We prove that this problem is soluble under certain assumptions, typical in radiation transport theory, and obtain estimates for the solution. 
@article{IM2_2003_67_6_a5,
     author = {I. V. Prokhorov},
     title = {On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces},
     journal = {Izvestiya. Mathematics },
     pages = {1243--1266},
     publisher = {mathdoc},
     volume = {67},
     number = {6},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_6_a5/}
}
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I. V. Prokhorov. On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces. Izvestiya. Mathematics , Tome 67 (2003) no. 6, pp. 1243-1266. http://geodesic.mathdoc.fr/item/IM2_2003_67_6_a5/