|
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}
Linking options:
http://mi.mathnet.ru/eng/jsfu258 http://mi.mathnet.ru/eng/jsfu/v5/i3/p326
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
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
-
A. Sh. Lyubanova, “On some boundary value problems for systems of pseudoparabolic equations”, Siberian Math. J., 56:4 (2015), 662–677
|
Number of views: |
This page: | 289 | Full text: | 72 | References: | 26 |
|