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Dal'nevostochnyi Matematicheskii Zhurnal, 2018, Volume 18, Number 1, Pages 101–111 (Mi dvmg371)  
This article is cited in 8 scientific papers (total in 8 papers)

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
Full-text PDF (263 kB) Citations (8)
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Abstract: 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.
Key words: radiative transfer equation, Cauchy problem, generalized matching conditions.
Funding agency Grant number
ПФИ ДВО РАН “Дальний Восток” 18-5-050
Russian Foundation for Basic Research 18-31-00050
Received: 16.03.2018
Document Type: Article
UDC: 517.958
MSC: Primary 35Q20; Secondary 35Q60
Language: Russian
Citation: 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
\Bibitem{ProSus18}
\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.
\yr 2018
\vol 18
\issue 1
\pages 101--111
\mathnet{http://mi.mathnet.ru/dvmg371}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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