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Matematicheskie Zametki, 2005, Volume 77, Issue 5, Pages 665–682
DOI: https://doi.org/10.4213/mzm2525 (Mi mzm2525) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Generalized Solutions of Nonlocal Elliptic Problems

P. L. Gurevich

Moscow Aviation Institute
Full-text PDF (345 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm2525
Abstract: An elliptic equation of order $2m$ with general nonlocal boundary-value conditions, in a plane bounded domain $G$ with piecewise smooth boundary, is considered. Generalized solutions belonging to the Sobolev space $W_2^m(G)$ are studied. The Fredholm property of the unbounded operator (corresponding to the elliptic equation) acting on $L_2(G)$, and defined for functions from the space $W_2^m(G)$ that satisfy homogeneous nonlocal conditions, is established.
Received: 30.03.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 5, Pages 614–629
DOI: https://doi.org/10.1007/s11006-005-0063-6
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. L. Gurevich, “Generalized Solutions of Nonlocal Elliptic Problems”, Mat. Zametki, 77:5 (2005), 665–682; Math. Notes, 77:5 (2005), 614–629
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
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