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Mathematics of the USSR-Sbornik, 1981, Volume 38, Issue 2, Pages 217–230
DOI: https://doi.org/10.1070/SM1981v038n02ABEH001324 (Mi sm2444) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On lacunae for some classes of equations with singularities

I. A. Kipriyanov, L. A. Ivanov
English version PDF (725 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1981v038n02ABEH001324
Abstract: The Cauchy problem is considered for equations which decompose into Euler–Poisson–Darboux factors. A representation of the solution of this problem is obtained in terms of spherical means of the initial function. This makes it possible both to establish precise conditions for classical solvability and to investigate the question of the presence of lacunae. We note that a special feature of this class of problems is the appearance of lacunae in even-dimensional space and the appreciable effect of the parameter in the Bessel operator on the smoothness of the initial data and the order of the lacunae obtained.
Bibliography: 11 titles.
Received: 04.04.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 110(152), Number 2(10), Pages 235–250
Bibliographic databases:
UDC: 517.9
MSC: Primary 35Q05; Secondary 35L30
Language: English
Original paper language: Russian
Citation: I. A. Kipriyanov, L. A. Ivanov, “On lacunae for some classes of equations with singularities”, Mat. Sb. (N.S.), 110(152):2(10) (1979), 235–250; Math. USSR-Sb., 38:2 (1981), 217–230
Citation in format AMSBIB
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\by I.~A.~Kipriyanov, L.~A.~Ivanov
\paper On lacunae for some classes of equations with singularities
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 110(152)
\issue 2(10)
\pages 235--250
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=552113}
\zmath{https://zbmath.org/?q=an:0451.35013|0419.35014}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 38
\issue 2
\pages 217--230
\crossref{https://doi.org/10.1070/SM1981v038n02ABEH001324}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LG68600004}
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  • https://doi.org/10.1070/SM1981v038n02ABEH001324
  • https://www.mathnet.ru/eng/sm/v152/i2/p235
    • This publication is cited in the following 6 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:295
    Russian version PDF:113
    English version PDF:14
    References:40
     
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