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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 295–313 (Mi smj1296)  

This article is cited in 3 scientific papers (total in 3 papers)

A general Darboux-type boundary value problem in curvilinear domains with corners for a third-order equation with dominated lower-order terms

O. M. Dzhokhadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Full-text PDF (275 kB) Citations (3)
Abstract: We study solvability of the Darboux-type boundary value problem for a third-order linear partial differential equation with dominated lower-order terms. We indicate function spaces in which the problem is uniquely solvable and Hausdorff normally solvable. In the second case, the corresponding homogeneous problem is shown to have infinitely many linearly independent solutions.
Received: 20.11.2000
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 2, Pages 235–250
DOI: https://doi.org/10.1023/A:1014745121563
Bibliographic databases:
UDC: 517.956.32
Language: Russian
Citation: O. M. Dzhokhadze, “A general Darboux-type boundary value problem in curvilinear domains with corners for a third-order equation with dominated lower-order terms”, Sibirsk. Mat. Zh., 43:2 (2002), 295–313; Siberian Math. J., 43:2 (2002), 235–250
Citation in format AMSBIB
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\by O.~M.~Dzhokhadze
\paper A~general Darboux-type boundary value problem in curvilinear domains with corners for a~third-order equation with dominated lower-order terms
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 2
\pages 295--313
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1902825}
\zmath{https://zbmath.org/?q=an:1003.35004}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 2
\pages 235--250
\crossref{https://doi.org/10.1023/A:1014745121563}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175886400005}
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  • https://www.mathnet.ru/eng/smj/v43/i2/p295
  • This publication is cited in the following 3 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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