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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 377–387 (Mi smj2312)  
This article is cited in 23 scientific papers (total in 23 papers)

Solvability of the initial-boundary value problem for an integrodifferential equation

I. V. Prokhorov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Full-text PDF (305 kB) Citations (23)
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Abstract: Under study is the well-posedness of the Cauchy problem for the nonstationary radiation transfer equation with generalized matching conditions at the interface between the media. We prove the existence of a unique strongly continuous semigroup of resolvents, estimate its order of growth, and consider the question of stabilization of the nonstationary solution.
Keywords: nonstationary equation, generalized matching conditions, strongly continuous semigroup.
Received: 16.05.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 301–309
DOI: https://doi.org/10.1134/S0037446612020127
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: I. V. Prokhorov, “Solvability of the initial-boundary value problem for an integrodifferential equation”, Sibirsk. Mat. Zh., 53:2 (2012), 377–387; Siberian Math. J., 53:2 (2012), 301–309
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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