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Sbornik: Mathematics, 1999, Volume 190, Issue 10, Pages 1417–1448
DOI: https://doi.org/10.1070/sm1999v190n10ABEH000431
(Mi sm431)
 

This article is cited in 11 scientific papers (total in 11 papers)

Existence of boundary values for metaharmonic functions

V. P. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: Necessary and sufficient conditions for the existence of $L_2$-limits at the boundary of solutions of a metaharmonic equation in a half-space are established. In the case of Laplace's equation these criteria coincide with Riesz's theorem: a harmonic function has an $L_2$-limit at the boundary if and only if it is $L_2$-bounded.
Received: 17.03.1999
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 31B30, 35J30, 35J67
Language: English
Original paper language: Russian
Citation: V. P. Mikhailov, “Existence of boundary values for metaharmonic functions”, Sb. Math., 190:10 (1999), 1417–1448
Citation in format AMSBIB
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\by V.~P.~Mikhailov
\paper Existence of boundary values for metaharmonic functions
\jour Sb. Math.
\yr 1999
\vol 190
\issue 10
\pages 1417--1448
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\crossref{https://doi.org/10.1070/sm1999v190n10ABEH000431}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0033236629}
Linking options:
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  • https://doi.org/10.1070/sm1999v190n10ABEH000431
  • https://www.mathnet.ru/eng/sm/v190/i10/p17
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:407
    Russian version PDF:225
    English version PDF:15
    References:85
    First page:2
     
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