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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 6, Pages 984–989
DOI: https://doi.org/10.1134/S0044466919060048 (Mi zvmmf10909) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Localization of eigenfunctions of the Laplace operator in a domain with a perforated barrier

A. L. Delitsynab

a Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051 Russia
b Main Scientific Research Test Center of Robotics, Ministry of Defense of the Russian Federation, Moscow, 119001 Russia
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DOI: https://doi.org/10.1134/S0044466919060048
Abstract: The localization of eigenfunctions of the Laplace operator in a domain divided by a perforated barrier is proven. The localization takes place with sufficiently small holes in the barrier. In this case, the measure of the barrier can be arbitrarily small.
Key words: localization of eigenfunctions, spectral problems, perforated barrier.
Funding agency Grant number
Russian Science Foundation 14-50-00150
This work was carried out at the Institute for Information Transmission Problems, Russian Academy of Sciences, and was supported by the Russian Science Foundation (project no. 14-50-00150).
Received: 30.11.2017
Revised: 12.01.2019
Accepted: 08.02.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 6, Pages 936–941
DOI: https://doi.org/10.1134/S0965542519060046
Bibliographic databases:
Document Type: Article
UDC: 517.956.227
Language: Russian
Citation: A. L. Delitsyn, “Localization of eigenfunctions of the Laplace operator in a domain with a perforated barrier”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 984–989; Comput. Math. Math. Phys., 59:6 (2019), 936–941
Citation in format AMSBIB
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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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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