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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 3, Pages 553–573
DOI: https://doi.org/10.1070/IM1989v033n03ABEH000856 (Mi im1228) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exact asymptotics of the spectrum of a boundary value problem, and periodic billiards

Yu. G. Safarov
English version PDF (1242 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1989v033n03ABEH000856
Abstract: A two-term asymptotic formula for the distribution function of the eigenvalues of an elliptic boundary value problem is derived. In contrast to previous work, it is not assumed that the set of points from which the periodic billiard trajectories emanate has measure zero.
Bibliography: 21 titles.
Received: 15.01.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 6, Pages 1230–1251
Bibliographic databases:
UDC: 517.956.227
MSC: 58G25
Language: English
Original paper language: Russian
Citation: Yu. G. Safarov, “Exact asymptotics of the spectrum of a boundary value problem, and periodic billiards”, Izv. Akad. Nauk SSSR Ser. Mat., 52:6 (1988), 1230–1251; Math. USSR-Izv., 33:3 (1989), 553–573
Citation in format AMSBIB
\Bibitem{Saf88}
\by Yu.~G.~Safarov
\paper Exact asymptotics of the spectrum of a~boundary value problem, and periodic billiards
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 6
\pages 1230--1251
\mathnet{http://mi.mathnet.ru/im1228}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984217}
\zmath{https://zbmath.org/?q=an:0682.35082}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 553--573
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000856}
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  • https://www.mathnet.ru/eng/im/v52/i6/p1230
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:274
    Russian version PDF:100
    English version PDF:7
    References:38
    First page:1
     
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