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Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 3, Pages 27–39
DOI: https://doi.org/10.17377/PAM.2016.16.303 (Mi vngu408) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type

A. I. Kozhanovab, Yu. A. Koshelevac

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Sakhalin State University
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DOI: https://doi.org/10.17377/PAM.2016.16.303
Abstract: We study solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient that depends only on spatial variables. The particular feature of these problems consists in not previously encountered overdetermination conditions. The method of our study relies on reduction of the inverse problem to a new nonlocal boundary-value problem for ultraparabolic equations. The results on solvability of the problem are of interest in their own right.
Keywords: inverse problem, unknown external force, ultraparabolic equation, nonlocal problem, regular solution, existence, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582_а
Received: 15.07.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 230, Issue 1, Pages 67–78
DOI: https://doi.org/10.1007/s10958-018-3728-x
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, Yu. A. Kosheleva, “Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type”, Sib. J. Pure and Appl. Math., 16:3 (2016), 27–39; J. Math. Sci., 230:1 (2018), 67–78
Citation in format AMSBIB
\Bibitem{KozKos16}
\by A.~I.~Kozhanov, Yu.~A.~Kosheleva
\paper Linear inverse problems for ultraparabolic equations: the case of an unknown coefficient of space type
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 3
\pages 27--39
\mathnet{http://mi.mathnet.ru/vngu408}
\crossref{https://doi.org/10.17377/PAM.2016.16.303}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 1
\pages 67--78
\crossref{https://doi.org/10.1007/s10958-018-3728-x}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал чистой и прикладной математики
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