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Matematicheskie Trudy, 2010, Volume 13, Number 1, Pages 23–62 (Mi mt190)  
This article is cited in 3 scientific papers (total in 3 papers)

An integral representation and boundary behavior of functions defined in a domain with a peak

M. Yu. Vasil'chik, I. M. Pupyshev

Novosibirsk State Technical University, Novosibirsk, Russia
Full-text PDF (347 kB) Citations (3)
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Abstract: We establish an invertible characteristic of boundary behavior of functions in Sobolev spaces defined in a space domain with a vertex of a peak on the boundary.
Key words: Sobolev space, peak, boundary behavior of functions.
Received: 02.07.2009
English version:
Siberian Advances in Mathematics, 2011, Volume 21, Issue 2, Pages 130–159
DOI: https://doi.org/10.3103/S1055134411020039
Bibliographic databases:
Document Type: Article
UDC: 517.518.234
Language: Russian
Citation: M. Yu. Vasil'chik, I. M. Pupyshev, “An integral representation and boundary behavior of functions defined in a domain with a peak”, Mat. Tr., 13:1 (2010), 23–62; Siberian Adv. Math., 21:2 (2011), 130–159
Citation in format AMSBIB
\Bibitem{VasPup10}
\by M.~Yu.~Vasil'chik, I.~M.~Pupyshev
\paper An integral representation and boundary behavior of functions defined in a~domain with a~peak
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 1
\pages 23--62
\mathnet{http://mi.mathnet.ru/mt190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682767}
\transl
\jour Siberian Adv. Math.
\yr 2011
\vol 21
\issue 2
\pages 130--159
\crossref{https://doi.org/10.3103/S1055134411020039}
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    • 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
    		Математические труды Siberian Advances in Mathematics
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    References:72
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