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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 3, Pages 407–418
DOI: https://doi.org/10.4213/tmf337 (Mi tmf337) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic Series for the Spectrum of the Schrödinger Operator for Layers Coupled Through Small Windows

I. Yu. Popov

St. Petersburg State University of Information Technologies, Mechanics and Optics
Full-text PDF (253 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf337
Abstract: The asymptotic series for eigenvalues and bands for the Laplacian of the Dirichlet problem for three-dimensional layers coupled through small windows is constructed. We use the method of matching the asymptotic expansions of the solutions of boundary-value problems.
Received: 30.03.2000
Revised: 19.12.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 3, Pages 791–800
DOI: https://doi.org/10.1023/A:1015975423500
Bibliographic databases:
Language: Russian
Citation: I. Yu. Popov, “Asymptotic Series for the Spectrum of the Schrödinger Operator for Layers Coupled Through Small Windows”, TMF, 131:3 (2002), 407–418; Theoret. and Math. Phys., 131:3 (2002), 791–800
Citation in format AMSBIB
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\pages 791--800
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  • https://www.mathnet.ru/eng/tmf/v131/i3/p407
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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