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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 40, Issue 3, Pages 529–563
DOI: https://doi.org/10.1070/IM1993v040n03ABEH002176 (Mi im939) 		 
This article is cited in 16 scientific papers (total in 16 papers)

A function theorety method in elliptic problems in the plane. II. The piecewise smooth case

A. P. Soldatov

Scientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Centre of the Russian Academy of Sciences
English version PDF (1944 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM1993v040n03ABEH002176
Abstract: A general boundary value problem, encompassing from a unified viewpoint a broad circle of local and nonlocal boundary value problems, is studied for elliptic systems with real, constant (and only leading) matrix coefficients. A method is given for the equivalent reduction of this problem to a system of boundary equations. The considerations are carried out in domains with piecewise smooth boundaries and in weighted spaces. A Noetherian criterion and an index formula for this problem are established, and the asymptotics of its solution in a neighborhood of corner points is described.
Received: 25.04.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 3, Pages 566–604
Bibliographic databases:
UDC: 517.9
MSC: Primary 35J30; Secondary 30E25, 35B40
Language: English
Original paper language: Russian
Citation: A. P. Soldatov, “A function theorety method in elliptic problems in the plane. II. The piecewise smooth case”, Izv. RAN. Ser. Mat., 56:3 (1992), 566–604; Russian Acad. Sci. Izv. Math., 40:3 (1993), 529–563
Citation in format AMSBIB
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\by A.~P.~Soldatov
\paper A function theorety method in elliptic problems in the plane. II.~The piecewise smooth case
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 3
\pages 529--563
\crossref{https://doi.org/10.1070/IM1993v040n03ABEH002176}
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  • https://www.mathnet.ru/eng/im/v56/i3/p566
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    This publication is cited in the following 16 articles:
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:570
    Russian version PDF:201
    English version PDF:21
    References:75
    First page:4
     
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