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Matematicheskie Zametki, 1968, Volume 3, Issue 3, Pages 247–252 (Mi mzm6675)  
This article is cited in 1 scientific paper (total in 1 paper)

Uniqueness theorem for harmonic functions

V. Raoab

a V. A. Steklov Mathematical Institute, USSR Academy of Sciences
b Tata Institute of Fundamental Research
Full-text PDF (336 kB) Citations (1)
Abstract: If the boundary values of a function, harmonic in a sphere, and its normal derivative decrease sufficiently fast to zero as a fixed point of the sphere is approached, then the corresponding function is identically zero. This note gives an unimprovable condition on the rate of decrease for which the stated uniqueness theorem holds.
Received: 22.01.1968
English version:
Mathematical Notes, 1968, Volume 3, Issue 3, Pages 159–162
DOI: https://doi.org/10.1007/BF01387326
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. Rao, “Uniqueness theorem for harmonic functions”, Mat. Zametki, 3:3 (1968), 247–252; Math. Notes, 3:3 (1968), 159–162
Citation in format AMSBIB
\Bibitem{Rao68}
\by V.~Rao
\paper Uniqueness theorem for harmonic functions
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 3
\pages 247--252
\mathnet{http://mi.mathnet.ru/mzm6675}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=227442}
\zmath{https://zbmath.org/?q=an:0165.44902|0164.41904}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 3
\pages 159--162
\crossref{https://doi.org/10.1007/BF01387326}
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  • https://www.mathnet.ru/eng/mzm/v3/i3/p247
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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