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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 4, Pages 695–707
DOI: https://doi.org/10.1070/IM1968v002n04ABEH000656 (Mi im2488) 		 
This article is cited in 16 scientific papers (total in 16 papers)

An energy inequality and the overdeterminacy property of a system of eigenfunctions

V. I. Plotnikov
English version PDF (447 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM1968v002n04ABEH000656
Abstract: In this article we prove an energy inequality for the third boundary value problem (the parabolic case) and certain completeness and closure properties of the system of eigenfunctions.
Received: 19.09.1967
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 4, Pages 743–755
Bibliographic databases:
UDC: 517.9
MSC: 35K85, 35Nxx, 35K20, 35P10, 35K50
Language: English
Original paper language: Russian
Citation: V. I. Plotnikov, “An energy inequality and the overdeterminacy property of a system of eigenfunctions”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968), 743–755; Math. USSR-Izv., 2:4 (1968), 695–707
Citation in format AMSBIB
\Bibitem{Plo68}
\by V.~I.~Plotnikov
\paper An energy inequality and the overdeterminacy property of a system of eigenfunctions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 4
\pages 743--755
\mathnet{http://mi.mathnet.ru/im2488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=241824}
\zmath{https://zbmath.org/?q=an:0162.42002|0183.10901}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 4
\pages 695--707
\crossref{https://doi.org/10.1070/IM1968v002n04ABEH000656}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:681
    Russian version PDF:321
    English version PDF:16
    References:66
    First page:1
     
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