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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 2, Pages 341–347
DOI: https://doi.org/10.1070/IM1967v001n02ABEH000561 (Mi im2543) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On uniqueness theorems for harmonic functions in a cylinder

V. P. Gromov
English version PDF (266 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1967v001n02ABEH000561
Abstract: Harmonic functions $U(r,\varphi,x)$ in an infinite cylinder $Q$ are considered herein. Conditions are given under which it follows that $U(r,\varphi,x)\equiv0$ from the boundedness of the normal derivative of the function $U(r,\varphi,x)$ on parallel sections of the cylinder $Q$.
Received: 16.05.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 2, Pages 355–360
Bibliographic databases:
UDC: 517.5
MSC: 31C05, 30D20, 35A05, 33C10, 40A05
Language: English
Original paper language: Russian
Citation: V. P. Gromov, “On uniqueness theorems for harmonic functions in a cylinder”, Izv. Akad. Nauk SSSR Ser. Mat., 31:2 (1967), 355–360; Math. USSR-Izv., 1:2 (1967), 341–347
Citation in format AMSBIB
\Bibitem{Gro67}
\by V.~P.~Gromov
\paper On uniqueness theorems for harmonic functions in a cylinder
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 2
\pages 355--360
\mathnet{http://mi.mathnet.ru/im2543}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=217314}
\zmath{https://zbmath.org/?q=an:0146.35101|0162.16503}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 2
\pages 341--347
\crossref{https://doi.org/10.1070/IM1967v001n02ABEH000561}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:81
    English version PDF:11
    References:39
    First page:1
     
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