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Mathematics of the USSR-Sbornik, 1983, Volume 44, Issue 2, Pages 167–194
DOI: https://doi.org/10.1070/SM1983v044n02ABEH000959 (Mi sm2457) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube

V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
English version PDF (1476 kB) Citations (26)
References:
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DOI: https://doi.org/10.1070/SM1983v044n02ABEH000959
Abstract: Asymptotic expansions (as $\varepsilon\to0$) of solutions of the Dirichlet problem are obtained for a strongly elliptic equation of order $2m$ in a subdomain of $\mathbf R^n$ minus an $\varepsilon$-neighborhood of a smooth submanifold, without boundary, of positive codimension.
Bibliography: 18 titles.
Received: 16.06.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1981, Volume 116(158), Number 2(10), Pages 187–217
Bibliographic databases:
UDC: 517.96
MSC: 35J40, 35B40
Language: English
Original paper language: Russian
Citation: V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii, “Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube”, Mat. Sb. (N.S.), 116(158):2(10) (1981), 187–217; Math. USSR-Sb., 44:2 (1983), 167–194
Citation in format AMSBIB
\Bibitem{MazNazPla81}
\by V.~G.~Maz'ya, S.~A.~Nazarov, B.~A.~Plamenevskii
\paper Asymptotics of solutions of the Dirichlet problem in a~domain with a~truncated thin tube
\jour Mat. Sb. (N.S.)
\yr 1981
\vol 116(158)
\issue 2(10)
\pages 187--217
\mathnet{http://mi.mathnet.ru/sm2457}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=637860}
\zmath{https://zbmath.org/?q=an:0502.35017|0473.35019}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 2
\pages 167--194
\crossref{https://doi.org/10.1070/SM1983v044n02ABEH000959}
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  • https://doi.org/10.1070/SM1983v044n02ABEH000959
  • https://www.mathnet.ru/eng/sm/v158/i2/p187
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:554
    Russian version PDF:192
    English version PDF:16
    References:57
    First page:2
     
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