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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 5, Pages 1125–1137 (Mi smj1026)  
This article is cited in 6 scientific papers (total in 6 papers)

Existence of the boundary value of a polyharmonic function

V. P. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (206 kB) Citations (6)
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Abstract: We establish a criterion for existence of an $L_2$-limit and a weak $L_2$-limit of a polyharmonic function on a regular analytic boundary of a bounded plane domain.
Keywords: polyharmonic equation, boundary value, compactness.
Received: 25.02.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 5, Pages 902–912
DOI: https://doi.org/10.1007/s11202-005-0087-x
Bibliographic databases:
Document Type: Article
UDC: 517.928
Language: Russian
Citation: V. P. Mikhailov, “Existence of the boundary value of a polyharmonic function”, Sibirsk. Mat. Zh., 46:5 (2005), 1125–1137; Siberian Math. J., 46:5 (2005), 902–912
Citation in format AMSBIB
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\by V.~P.~Mikhailov
\paper Existence of the boundary value of a~polyharmonic function
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\yr 2005
\vol 46
\issue 5
\pages 1125--1137
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2187467}
\zmath{https://zbmath.org/?q=an:1126.31001}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 5
\pages 902--912
\crossref{https://doi.org/10.1007/s11202-005-0087-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232564500012}
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  • https://www.mathnet.ru/eng/smj/v46/i5/p1125
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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