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Mathematics of the USSR-Sbornik, 1987, Volume 57, Issue 1, Pages 293–316
DOI: https://doi.org/10.1070/SM1987v057n01ABEH003070 (Mi sm1821) 		 
This article is cited in 36 scientific papers (total in 36 papers)

Elliptic problems with nonlocal conditions near the boundary

A. L. Skubachevskii
English version PDF (1203 kB) Citations (36) Russian version article
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DOI: https://doi.org/10.1070/SM1987v057n01ABEH003070
Abstract: An elliptic equation of order $2m$ with nonlocal conditions near the boundary is considered. The presence of nonlocal terms in the boundary conditions leads to the appearance of singularities in the solution. The Noether property is proved for this problem in weighted spaces and asymptotics of the solutions are obtained. These results are applied to the study of the solvability and smoothness of solutions of elliptic differential-difference equations.
Bibliography: 22 titles.
Received: 26.12.1984
Bibliographic databases:
UDC: 517.95
MSC: Primary 35J40; Secondary 35B40
Language: English
Original paper language: Russian
Citation: A. L. Skubachevskii, “Elliptic problems with nonlocal conditions near the boundary”, Math. USSR-Sb., 57:1 (1987), 293–316
Citation in format AMSBIB
\Bibitem{Sku86}
\by A.~L.~Skubachevskii
\paper Elliptic problems with nonlocal conditions near the boundary
\jour Math. USSR-Sb.
\yr 1987
\vol 57
\issue 1
\pages 293--316
\mathnet{http://mi.mathnet.ru//eng/sm1821}
\crossref{https://doi.org/10.1070/SM1987v057n01ABEH003070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=832122}
\zmath{https://zbmath.org/?q=an:0615.35028}
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:645
    Russian version PDF:233
    English version PDF:27
    References:75
    First page:2
     
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