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Mathematics of the USSR-Sbornik, 1976, Volume 29, Issue 2, Pages 193–216
DOI: https://doi.org/10.1070/SM1976v029n02ABEH003663 (Mi sm2872) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Local solvability of pseudodifferential operators with characteristics of second multiplicity

P. R. Popivanov
English version PDF (1507 kB) Citations (10)
References:
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DOI: https://doi.org/10.1070/SM1976v029n02ABEH003663
Abstract: A study is made of the local properties of operators whose leading symbol admits a representation in the form of a sum (difference) of squares of operators of principal type. The coefficients are infinitely smooth and are not necessarily of power growth. Necessary and sufficient conditions are formulated in the invariant language of null bicharacteristics and of the subprincipal symbol. Definitive results are obtained for some special classes of equations. The work extends results obtained earlier by the author for operators whose leading symbol is the square of an operator of principal type.
Bibliography: 27 titles.
Received: 10.02.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1976, Volume 100(142), Number 2(6), Pages 217–241
Bibliographic databases:
UDC: 517.43
MSC: 35S05, 47G05
Language: English
Original paper language: Russian
Citation: P. R. Popivanov, “Local solvability of pseudodifferential operators with characteristics of second multiplicity”, Mat. Sb. (N.S.), 100(142):2(6) (1976), 217–241; Math. USSR-Sb., 29:2 (1976), 193–216
Citation in format AMSBIB
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\by P.~R.~Popivanov
\paper Local solvability of pseudodifferential operators with characteristics of second multiplicity
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 100(142)
\issue 2(6)
\pages 217--241
\mathnet{http://mi.mathnet.ru/sm2872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=499859}
\zmath{https://zbmath.org/?q=an:0331.35055}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 29
\issue 2
\pages 193--216
\crossref{https://doi.org/10.1070/SM1976v029n02ABEH003663}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EZ91500006}
Linking options:
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  • https://doi.org/10.1070/SM1976v029n02ABEH003663
  • https://www.mathnet.ru/eng/sm/v142/i2/p217
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:250
    Russian version PDF:73
    English version PDF:5
    References:47
     
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