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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 406–413 (Mi smj1298)  
This article is cited in 22 scientific papers (total in 22 papers)

On determination of two time-dependent coefficients in a parabolic equation

N. I. Ivanchov, N. V. Pabyrivska

Ivan Franko National University of L'viv
Full-text PDF (167 kB) Citations (22)
Abstract: We consider the inverse problem for a one-dimensional parabolic equation with unknown time-depending coefficients of the derivatives with respect to the space variable. We establish a condition for existence of a solution on some time interval whose length depends on the initial data of the problem. Uniqueness of a solution holds on the whole time interval.
Received: 11.04.2000
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 2, Pages 323–329
DOI: https://doi.org/10.1023/A:1014749222472
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: N. I. Ivanchov, N. V. Pabyrivska, “On determination of two time-dependent coefficients in a parabolic equation”, Sibirsk. Mat. Zh., 43:2 (2002), 406–413; Siberian Math. J., 43:2 (2002), 323–329
Citation in format AMSBIB
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\by N.~I.~Ivanchov, N.~V.~Pabyrivska
\paper On determination of two time-dependent coefficients in a~parabolic equation
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 2
\pages 406--413
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1902827}
\zmath{https://zbmath.org/?q=an:1007.35099}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 2
\pages 323--329
\crossref{https://doi.org/10.1023/A:1014749222472}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175886400007}
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  • https://www.mathnet.ru/eng/smj/v43/i2/p406
    • This publication is cited in the following 22 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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