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Matematicheskie Zametki, 2002, Volume 72, Issue 2, Pages 178–197
DOI: https://doi.org/10.4213/mzm413 (Mi mzm413) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of Nonlocal Elliptic Problems in Dihedral Angles

P. L. Gurevich

Moscow Aviation Institute
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DOI: https://doi.org/10.4213/mzm413
Abstract: In this paper, we consider nonlocal elliptic problems in dihedral and plane angles. Such problems arise in the study of nonlocal problems in bounded domains for the case in which the support of nonlocal terms intersects the boundary. We study the Fredholm and unique solvability of this problem in the corresponding weighted spaces. Results are obtained by means of a priori estimates of the solutions and of Green's formula for nonlocal elliptic problems.
Received: 12.11.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 2, Pages 158–176
DOI: https://doi.org/10.1023/A:1019889609907
Bibliographic databases:
UDC: 517.956.22
Language: Russian
Citation: P. L. Gurevich, “Solvability of Nonlocal Elliptic Problems in Dihedral Angles”, Mat. Zametki, 72:2 (2002), 178–197; Math. Notes, 72:2 (2002), 158–176
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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