Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Sbornik, 1976, Volume 28, Issue 4, Pages 459–480
DOI: https://doi.org/10.1070/SM1976v028n04ABEH001663 (Mi sm2770) 		 
This article is cited in 61 scientific papers (total in 63 papers)

A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. 1. The two-dimensional case

A. M. Il'in
English version PDF (1557 kB) Citations (63)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1976v028n04ABEH001663
Abstract: An elliptic equation is considered in a domain $D_\varepsilon$ that is obtained from a two-dimensional domain $D$ by removing a neighborhood of a segment. It is assumed that this neighborhood contracts to the segment as $\varepsilon\to0$. An asymptotic expansion of the solution of the first boundary value problem in $D_\varepsilon$ is constructed and justified.
Bibliography: 5 titles.
Received: 02.09.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 99(141), Number 4, Pages 514–537
Bibliographic databases:
UDC: 517.946
MSC: 35J25, 35B40
Language: English
Original paper language: Russian
Citation: A. M. Il'in, “A boundary value problem for the elliptic equation of second order in a domain with a narrow slit. 1. The two-dimensional case”, Mat. Sb. (N.S.), 99(141):4 (1976), 514–537; Math. USSR-Sb., 28:4 (1976), 459–480
Citation in format AMSBIB
\Bibitem{Ili76}
\by A.~M.~Il'in
\paper A~boundary value problem for the elliptic equation of second order in a~domain with a~narrow slit. 1.~The two-dimensional case
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 99(141)
\issue 4
\pages 514--537
\mathnet{http://mi.mathnet.ru/sm2770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407439}
\zmath{https://zbmath.org/?q=an:0333.35033}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 28
\issue 4
\pages 459--480
\crossref{https://doi.org/10.1070/SM1976v028n04ABEH001663}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EQ33200002}
Linking options:
  • https://www.mathnet.ru/eng/sm2770
  • https://doi.org/10.1070/SM1976v028n04ABEH001663
  • https://www.mathnet.ru/eng/sm/v141/i4/p514
    Cycle of papers
    This publication is cited in the following 63 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:612
    Russian version PDF:266
    English version PDF:5
    References:60
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024