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Mathematics of the USSR-Sbornik, 1975, Volume 26, Issue 4, Pages 458–470
DOI: https://doi.org/10.1070/SM1975v026n04ABEH002491 (Mi sm3805) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On local solvability of equations of quasi-principal type

N. A. Shananin
English version PDF (739 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1975v026n04ABEH002491
Abstract: The question of local solvability for a certain class of partial differential equations is considered. For this class a local parametrix is constructed , the points of singularity of the corresponding kernel of the integral operator are indicated, and the boundedness of the operator realizing the parametrix is demonstrated. Local solvability is then established on the basis of these results.
Bibliography: 12 titles.
Received: 24.06.1974
Bibliographic databases:
UDC: 517.43
MSC: Primary 35A05; Secondary 35D05, 47F05, 47G05
Language: English
Original paper language: Russian
Citation: N. A. Shananin, “On local solvability of equations of quasi-principal type”, Math. USSR-Sb., 26:4 (1975), 458–470
Citation in format AMSBIB
\Bibitem{Sha75}
\by N.~A.~Shananin
\paper On local solvability of equations of quasi-principal type
\jour Math. USSR-Sb.
\yr 1975
\vol 26
\issue 4
\pages 458--470
\mathnet{http://mi.mathnet.ru//eng/sm3805}
\crossref{https://doi.org/10.1070/SM1975v026n04ABEH002491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=473446}
\zmath{https://zbmath.org/?q=an:0314.35019}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:241
    Russian version PDF:70
    English version PDF:27
    References:48
     
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