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Russian Mathematical Surveys, 1970, Volume 25, Issue 4, Pages 21–50
DOI: https://doi.org/10.1070/RM1970v025n04ABEH001260 (Mi rm5376) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Degenerating elliptic differential and psevdo-differential operators

M. I. Vishik, V. V. Grushin
English version PDF (1485 kB) Citations (13)
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DOI: https://doi.org/10.1070/RM1970v025n04ABEH001260
Abstract: The present paper is a survey of some results concerning higher-order elliptic differential operators which degenerate on the boundary of a domain. The principal aspect in the study of such operators is that of investigating the corresponding ordinary equations with parameters which degenerate at a single point. The parametrix for such operators is a degenerating pseudo-differential operator. We investigate the properties of the kernels of these pseudo-differential operators.
Received: 03.03.1970
Russian version:
Uspekhi Matematicheskikh Nauk, 1970, Volume 25, Issue 4(154), Pages 29–56
Bibliographic databases:
Document Type: Article
UDC: 517.43
MSC: 35J70, 35S15, 35J40, 47B34
Language: English
Original paper language: Russian
Citation: M. I. Vishik, V. V. Grushin, “Degenerating elliptic differential and psevdo-differential operators”, Uspekhi Mat. Nauk, 25:4(154) (1970), 29–56; Russian Math. Surveys, 25:4 (1970), 21–50
Citation in format AMSBIB
\Bibitem{VisGru70}
\by M.~I.~Vishik, V.~V.~Grushin
\paper Degenerating elliptic differential and psevdo-differential operators
\jour Uspekhi Mat. Nauk
\yr 1970
\vol 25
\issue 4(154)
\pages 29--56
\mathnet{http://mi.mathnet.ru/rm5376}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=513039}
\zmath{https://zbmath.org/?q=an:0209.40901|0222.35024}
\transl
\jour Russian Math. Surveys
\yr 1970
\vol 25
\issue 4
\pages 21--50
\crossref{https://doi.org/10.1070/RM1970v025n04ABEH001260}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:587
    Russian version PDF:244
    English version PDF:28
    References:70
    First page:3
     
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