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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 347–353
DOI: https://doi.org/10.4213/tmf706 (Mi tmf706) 		 
This article is cited in 22 scientific papers (total in 22 papers)

On the spectrum of the Laplacian with frequently alternating boundary conditions

D. I. Borisova, R. R. Gadyl'shinb

a Bashkir State Pedagogical University
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (173 kB) Citations (22)
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DOI: https://doi.org/10.4213/tmf706
Abstract: We consider a boundary problem for the Laplacian in a two-dimensional domain with frequently alternating boundary conditions. The leading terms of the asymptotic expansions of the eigenvalues and the corresponding eigenfunctions are constructed under the assumption that the limiting case is the mixed boundary problem.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 272–277
DOI: https://doi.org/10.1007/BF02557321
Bibliographic databases:
Language: Russian
Citation: D. I. Borisov, R. R. Gadyl'shin, “On the spectrum of the Laplacian with frequently alternating boundary conditions”, TMF, 118:3 (1999), 347–353; Theoret. and Math. Phys., 118:3 (1999), 272–277
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v118/i3/p347
    • This publication is cited in the following 22 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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    Abstract page:776
    Full-text PDF :277
    References:109
    First page:2
     
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