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Izvestiya: Mathematics, 2001, Volume 65, Issue 6, Pages 1073–1083
DOI: https://doi.org/10.1070/IM2001v065n06ABEH000363 (Mi im363) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Legendre operator function

A. V. Glushak

Voronezh State Technical University
English version PDF (155 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/IM2001v065n06ABEH000363
Abstract: We study the properties of the resolving operator of the Cauchy problem for an abstract Legendre equation with an unbounded linear operator $A$. We establish a relationship between this resolving operator and that of the Cauchy problem for an abstract Euler–Poisson–Darboux equation and prove the coincidence of the sets of operators $A$ for which the Cauchy problems for the Legendre and Euler–Poisson–Darboux equations are uniformly well posed.
Received: 20.03.1998
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 6, Pages 3–14
DOI: https://doi.org/10.4213/im363
Bibliographic databases:
MSC: 34G10, 35Q05, 35K99, 35L15, 43A90, 47D06, 53B21, 53C65
Language: English
Original paper language: Russian
Citation: A. V. Glushak, “The Legendre operator function”, Izv. RAN. Ser. Mat., 65:6 (2001), 3–14; Izv. Math., 65:6 (2001), 1073–1083
Citation in format AMSBIB
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\by A.~V.~Glushak
\paper The Legendre operator function
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 6
\pages 3--14
\mathnet{http://mi.mathnet.ru/im363}
\crossref{https://doi.org/10.4213/im363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1892902}
\zmath{https://zbmath.org/?q=an:1047.34066}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 6
\pages 1073--1083
\crossref{https://doi.org/10.1070/IM2001v065n06ABEH000363}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746682554}
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  • https://doi.org/10.1070/IM2001v065n06ABEH000363
  • https://www.mathnet.ru/eng/im/v65/i6/p3
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:648
    Russian version PDF:368
    English version PDF:50
    References:85
    First page:2
     
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