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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 9, Pages 1622–1627
DOI: https://doi.org/10.7868/S0044466916090167 (Mi zvmmf10454) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solvability of certain inverse problems for the nonstationary kinetic transport equation

N. P. Volkov

National Research Nuclear University “MEPhI”, Moscow, Russia
Full-text PDF (127 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466916090167
Abstract: Linear and nonlinear inverse problems for the nonstationary multispeed anisotropic kinetic transport equation are studied. Sufficient conditions for the existence and uniqueness of weak solutions to these problems in various function spaces are found. The proofs of the corresponding theorems imply that solutions of the inverse problems under study can be obtained by applying the method of successive approximations.
Key words: inverse problem, nonstationary multispeed anisotropic kinetic transport equation, existence and uniqueness theorem, weak solution, method of successive approximations.
Received: 09.11.2015
Revised: 12.01.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 9, Pages 1598–1603
DOI: https://doi.org/10.1134/S0965542516090153
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: N. P. Volkov, “Solvability of certain inverse problems for the nonstationary kinetic transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1622–1627; Comput. Math. Math. Phys., 56:9 (2016), 1598–1603
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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