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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) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1989
\vol 33
\issue 3
\pages 553--573
\mathnet{http://mi.mathnet.ru//eng/im1228}
\crossref{https://doi.org/10.1070/IM1989v033n03ABEH000856}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=984217}
\zmath{https://zbmath.org/?q=an:0682.35082}
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    • 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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