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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 2, Pages 363–396
DOI: https://doi.org/10.1070/SM1995v081n02ABEH003543 (Mi sm888) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems

B. Yu. Sternin, V. E. Shatalov

M. V. Lomonosov Moscow State University
English version PDF (1455 kB) Citations (20) Russian version article
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DOI: https://doi.org/10.1070/SM1995v081n02ABEH003543
Abstract: Finiteness theorems (the Fredholm property) are proved in this paper for a certain class of elliptic problems. The operators corresponding to these problems are obtained as the elements of an extension of the set of pseudodifferential operators via a special class of (nonlocal) operators.
Received: 22.04.1993
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J40, 58G20, 35S15; Secondary 47G30, 47A60, 58G15
Language: English
Original paper language: Russian
Citation: B. Yu. Sternin, V. E. Shatalov, “Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 363–396
Citation in format AMSBIB
\Bibitem{SteSha94}
\by B.~Yu.~Sternin, V.~E.~Shatalov
\paper Transfer of an extension of the~algebra of pseudodifferential operators, and some nonlocal elliptic problems
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 2
\pages 363--396
\mathnet{http://mi.mathnet.ru//eng/sm888}
\crossref{https://doi.org/10.1070/SM1995v081n02ABEH003543}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268800}
\zmath{https://zbmath.org/?q=an:0840.35132}
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  • https://www.mathnet.ru/eng/sm/v185/i3/p117
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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