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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 5, Pages 935–966
DOI: https://doi.org/10.1070/IM1967v001n05ABEH000594 (Mi im2572) 		 
This article is cited in 42 scientific papers (total in 42 papers)

Isolation of singularities of the Green's function

Yu. P. Krasovskii
English version PDF (1298 kB) Citations (42)
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DOI: https://doi.org/10.1070/IM1967v001n05ABEH000594
Abstract: A method is given for constructing the Green's function for general boundary-value problems for elliptic equations. Pointwise estimates are proved for the Green's function in a closed region. A representation of an arbitrary solution of the boundary-value problem is derived, which permits the explicit construction of the irregular part of the solution if the latter contains singularities.
Received: 05.03.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 5, Pages 977–1010
Bibliographic databases:
UDC: 517.9
MSC: 35A20, 35J25
Language: English
Original paper language: Russian
Citation: Yu. P. Krasovskii, “Isolation of singularities of the Green's function”, Izv. Akad. Nauk SSSR Ser. Mat., 31:5 (1967), 977–1010; Math. USSR-Izv., 1:5 (1967), 935–966
Citation in format AMSBIB
\Bibitem{Kra67}
\by Yu.~P.~Krasovskii
\paper Isolation of singularities of the Green's function
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 5
\pages 977--1010
\mathnet{http://mi.mathnet.ru/im2572}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=223740}
\zmath{https://zbmath.org/?q=an:0153.42701|0174.15703}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 5
\pages 935--966
\crossref{https://doi.org/10.1070/IM1967v001n05ABEH000594}
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    • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:248
    English version PDF:17
    References:61
    First page:1
     
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