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J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 4, Pages 487–499 (Mi jsfu147)  

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

An identification problem of source function for one semievolutionary system

Yuri Ya. Belov

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: An identification problem of source function for the semievolutionary system of two partial differential equations, one of which is parabolic, and the second – elliptic are investigated. The Cauchy problem and the first boundary-value problem are considered. Initial problems are approximated by problems in which the elliptic equation is replaced with the parabolic equation containing the small parameter $\varepsilon>0$ at a derivative with respect to time.

Keywords: partial differential equations, boundary-value problems, approximation, small parameter, convergence.

Full text: PDF file (193 kB)
References: PDF file   HTML file
UDC: 517.9
Received: 18.06.2010
Received in revised form: 25.07.2010
Accepted: 10.08.2010

Citation: Yuri Ya. Belov, “An identification problem of source function for one semievolutionary system”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 487–499

Citation in format AMSBIB
\Bibitem{Bel10}
\by Yuri~Ya.~Belov
\paper An identification problem of source function for one semievolutionary system
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 4
\pages 487--499
\mathnet{http://mi.mathnet.ru/jsfu147}


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    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:
    1. Yurii Ya. Belov, “O zadache identifikatsii funktsii istochnika v sisteme uravnenii sostavnogo tipa”, Zhurn. SFU. Ser. Matem. i fiz., 4:4 (2011), 445–457  mathnet
    2. Belov Yu.Y., Kopylova V.G., “On Some Identification Problem for Source Function to One Semievolutionary System”, J. Inverse Ill-Posed Probl., 20:5-6 (2012), 723–743  crossref  mathscinet  zmath  isi  elib  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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