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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 8, Pages 1291–1301
DOI: https://doi.org/10.7868/S0044466913080036 (Mi zvmmf9901) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation

V. A. Beloshapko, V. F. Butuzov

M. V. Lomonosov Moscow State University, Faculty of Physics
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DOI: https://doi.org/10.7868/S0044466913080036
Abstract: The solution of a singularly perturbed elliptic boundary value problem is constructed, and an asymptotic expansion of the boundary-layer solution in the case of a double root of the degenerate equation is justified. The multiplicity of the root leads to a qualitative change in the asymptotic representation of the solution as compared with the case of a simple root.
Key words: singularly perturbed elliptic equations, boundary layer asymptotics, double root of a degenerate equation.
Received: 20.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 8, Pages 1117–1127
DOI: https://doi.org/10.1134/S0965542513080034
Bibliographic databases:
Document Type: Article
UDC: 519.632.34
Language: Russian
Citation: V. A. Beloshapko, V. F. Butuzov, “A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1291–1301; Comput. Math. Math. Phys., 53:8 (2013), 1117–1127
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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