Geodesic
Boundary problem for radiation transfer through plane layer
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 13-23

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A special statement of the problem of radiation transfer through plane layer, called boundary problem, is considered. It was proposed first by Ambartsumian. An operatormatrix made up of the layer reflection and transmittance operators is introduced. A “layer addition” theorem is proved. Application examples are considered.
Keywords: radiactive transfer, invariance principle, plane layer, reflection and transmission operators, semigroup of operators. 
@article{VNGU_2013_13_1_a1,
     author = {V. S. Antyufeev},
     title = {Boundary problem for radiation transfer through plane layer},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {13--23},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a1/}
}
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V. S. Antyufeev. Boundary problem for radiation transfer through plane layer. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 13-23. http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a1/