Geodesic
The Cauchy problem for the radiatve transfer equation in an unbounded medium
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 101-111

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The correctness of the Cauchy problem of the integro-differential radiation transfer equation in a system of two unbounded subdomains, separated by a reflecting and refracting surface, is investigated. The existence of a unique strongly continuous semigroup of resolving operators of the Cauchy problem is proved. Conditions on the order of growth of the semigroup are obtained. 
@article{DVMG_2018_18_1_a12,
     author = {I. V. Prokhorov and A. A. Sushchenko},
     title = {The {Cauchy} problem for the radiatve transfer  equation  in an unbounded medium},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {101--111},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a12/}
}
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I. V. Prokhorov; A. A. Sushchenko. The Cauchy problem for the radiatve transfer  equation  in an unbounded medium. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 101-111. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a12/