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Izvestiya: Mathematics, 2003, Volume 67, Issue 6, Pages 1243–1266
DOI: https://doi.org/10.1070/IM2003v067n06ABEH000463 (Mi im463) 		 
This article is cited in 30 scientific papers (total in 30 papers)

On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces

I. V. Prokhorov
English version PDF (229 kB) Citations (30)
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DOI: https://doi.org/10.1070/IM2003v067n06ABEH000463
Abstract: This paper deals with a boundary-value problem for the stationary integro-differential equation of radiation transport (transfer) in a many-component medium on whose interfaces conjugation conditions are given by Fresnel's formulae. We prove that this problem is soluble under certain assumptions, typical in radiation transport theory, and obtain estimates for the solution.
Received: 13.03.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 6, Pages 169–192
DOI: https://doi.org/10.4213/im463
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 45K05, 85A25
Language: English
Original paper language: Russian
Citation: I. V. Prokhorov, “On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces”, Izv. RAN. Ser. Mat., 67:6 (2003), 169–192; Izv. Math., 67:6 (2003), 1243–1266
Citation in format AMSBIB
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\paper On the solubility of the boundary-value problem of radiation transport theory with generalized conjugation conditions on the interfaces
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\issue 6
\pages 169--192
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\transl
\jour Izv. Math.
\yr 2003
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  • https://doi.org/10.1070/IM2003v067n06ABEH000463
  • https://www.mathnet.ru/eng/im/v67/i6/p169
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:1019
    Russian version PDF:249
    English version PDF:21
    References:95
    First page:1
     
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