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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 846–849
DOI: https://doi.org/10.7868/S0044466915050154
(Mi zvmmf10208)
 

This article is cited in 2 scientific papers (total in 2 papers)

On spectral geometry for the one-speed particle transport operator

D. Suragan

Institute of Mathematics and Mathematical Modeling, ul. Pushkina 125, Almaty, 050010, Kazakhstan
Full-text PDF (163 kB) Citations (2)
References:
Abstract: It is proved that, among all domains of identical measure, the ball minimizes the first eigenvalue of the one-speed particle transport operator in a multidimensional Euclidean space.
Key words: spectral geometry, one-speed particle transport operator, eigenvalues.
Received: 12.04.2013
Revised: 12.11.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 844–847
DOI: https://doi.org/10.7868/S0044466915050154
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 82D75; Secondary 35F16, 35P15, 35R09
Language: Russian
Citation: D. Suragan, “On spectral geometry for the one-speed particle transport operator”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 846–849; Comput. Math. Math. Phys., 55:5 (2015), 844–847
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf10208
  • https://www.mathnet.ru/eng/zvmmf/v55/i5/p846
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:316
    Full-text PDF :79
    References:65
    First page:17
     
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