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Izvestiya: Mathematics, 2012, Volume 76, Issue 2, Pages 365–374
DOI: https://doi.org/10.1070/IM2012v076n02ABEH002587 (Mi im5701) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains

O. A. Ochakovskaya

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (259 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2012v076n02ABEH002587
Abstract: We obtain a geometric description of the set of solutions of the Helmholtz equation on unbounded domains.
Keywords: Helmholtz equation, ball means, spherical means, eigenfunctions of the Laplace operator.
Received: 05.11.2010
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 35J05, 35B05, 43A90, 58C35
Language: English
Original paper language: Russian
Citation: O. A. Ochakovskaya, “Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains”, Izv. Math., 76:2 (2012), 365–374
Citation in format AMSBIB
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\yr 2012
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\pages 365--374
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  • https://doi.org/10.1070/IM2012v076n02ABEH002587
  • https://www.mathnet.ru/eng/im/v76/i2/p161
    • This publication is cited in the following 1 articles:
    1. N. Kuznetsov, “Mean Value Properties of Harmonic Functions and Related Topics (a Survey)”, J Math Sci, 242:2 (2019), 177  crossref
    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:502
    Russian version PDF:171
    English version PDF:23
    References:77
    First page:27
     
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