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Mathematics of the USSR-Sbornik, 1991, Volume 69, Issue 2, Pages 307–340
DOI: https://doi.org/10.1070/SM1991v069n02ABEH001937 (Mi sm1168) 		 
This article is cited in 37 scientific papers (total in 37 papers)

The two terms asymptotics of the solutions of spectral problems with singular perturbations

S. A. Nazarov

Leningrad State University
English version PDF (1813 kB) Citations (37)
References:
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DOI: https://doi.org/10.1070/SM1991v069n02ABEH001937
Abstract: Two groups of singularly perturbed boundary value problems for eigenvalues are considered. The first group contains the following types of perturbations: a small parameter in front of the leading derivatives in the equation or in the boundary condition, a domain with rapidly oscillating boundary, or a thin domain. Problems with perturbations of the data on a set with small diameter $\varepsilon$ constitute the second group.
Received: 26.01.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 3, Pages 291–320
Bibliographic databases:
UDC: 517.95
MSC: 35B25, 35P15
Language: English
Original paper language: Russian
Citation: S. A. Nazarov, “The two terms asymptotics of the solutions of spectral problems with singular perturbations”, Mat. Sb., 181:3 (1990), 291–320; Math. USSR-Sb., 69:2 (1991), 307–340
Citation in format AMSBIB
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\by S.~A.~Nazarov
\paper The two terms asymptotics of the solutions of spectral problems with singular perturbations
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\yr 1990
\vol 181
\issue 3
\pages 291--320
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 2
\pages 307--340
\crossref{https://doi.org/10.1070/SM1991v069n02ABEH001937}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GB41500001}
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  • https://www.mathnet.ru/eng/sm/v181/i3/p291
    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:823
    Russian version PDF:186
    English version PDF:10
    References:68
    First page:3
     
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