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

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.

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UDC: 517.9
Accepted: 10.02.2012
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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
2. A. Sh. Lyubanova, “On some boundary value problems for systems of pseudoparabolic equations”, Siberian Math. J., 56:4 (2015), 662–677
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