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J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 3, Pages 326–336 (Mi jsfu258)  

This article is cited in 2 scientific papers (total in 2 papers)

On the approximation of a parabolic inverse problem by pseudoparabolic one

Anna Sh. Lyubanova

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The properties of the solution to the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation are studied. It is proved that the inverse problem for the pseudoparabolic equation approximates the appropriate inverse problem for the parabolic equation of filtration. The existence and uniqueness of the solution to the parabolic inverse problem is established.

Keywords: filtration, inverse problems for PDE, pseudoparabolic equation, parabolic equation, existence and uniqueness theorems.

Full text: PDF file (184 kB)
References: PDF file   HTML file
UDC: 517.9
Received: 29.10.2011
Received in revised form: 23.12.2011
Accepted: 10.02.2012
Language:

Citation: Anna Sh. Lyubanova, “On the approximation of a parabolic inverse problem by pseudoparabolic one”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 326–336

Citation in format AMSBIB
\Bibitem{Lyu12}
\by Anna~Sh.~Lyubanova
\paper On the approximation of a~parabolic inverse problem by pseudoparabolic one
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 3
\pages 326--336
\mathnet{http://mi.mathnet.ru/jsfu258}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. Sh. Lyubanova, “Identification of a coefficient in the leading term of a pseudoparabolic equation of filtration”, Siberian Math. J., 54:6 (2013), 1046–1058  mathnet  crossref  mathscinet  isi
    2. A. Sh. Lyubanova, “On some boundary value problems for systems of pseudoparabolic equations”, Siberian Math. J., 56:4 (2015), 662–677  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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