This article is cited in 1 scientific paper (total in 1 paper)
The Cauchy problem for the radiatve transfer equation in an unbounded medium
I. V. Prokhorovab, A. A. Sushchenkoab
a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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.
radiative transfer equation, Cauchy problem, generalized matching conditions.
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MSC: Primary 35Q20; Secondary 35Q60
I. V. Prokhorov, A. A. Sushchenko, “The Cauchy problem for the radiatve transfer equation in an unbounded medium”, Dal'nevost. Mat. Zh., 18:1 (2018), 101–111
Citation in format AMSBIB
\by I.~V.~Prokhorov, A.~A.~Sushchenko
\paper The Cauchy problem for the radiatve transfer equation in an unbounded medium
\jour Dal'nevost. Mat. Zh.
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