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Dal'nevostochnyi Matematicheskii Zhurnal, 2019, Volume 19, Number 1, Pages 96–107 (Mi dvmg400)  
This article is cited in 1 scientific paper (total in 1 paper)

Unique solvability of boundary value problem for a polychromatic radiation transfer equation

I. P. Yarovenkoab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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Abstract: The paper deals with a boundary value problem for a radiation transfer equation. It's assumed that Compton scattering is predominant effect in media. The boundary value problem is reduced to an integral equation of Volterra type. The result of the work is the theorem provides existence and uniqueness of solution for the boundary value problem of the radiative transfer equation.
Key words: radiation transfer theory, Compton scattering.
Received: 02.11.2018
Document Type: Article
UDC: 517.958
MSC: Primary 35Q60; Secondary 35R30
Language: Russian
Citation: I. P. Yarovenko, “Unique solvability of boundary value problem for a polychromatic radiation transfer equation”, Dal'nevost. Mat. Zh., 19:1 (2019), 96–107
Citation in format AMSBIB
\Bibitem{Yar19}
\by I.~P.~Yarovenko
\paper Unique solvability of boundary value problem for a polychromatic radiation transfer equation
\jour Dal'nevost. Mat. Zh.
\yr 2019
\vol 19
\issue 1
\pages 96--107
\mathnet{http://mi.mathnet.ru/dvmg400}
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  • https://www.mathnet.ru/eng/dvmg/v19/i1/p96
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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