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Mathematics of the USSR-Izvestiya, 1985, Volume 24, Issue 1, Pages 49–71
DOI: https://doi.org/10.1070/IM1985v024n01ABEH001211 (Mi im1418) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multidimensional spectral asymptotics for elliptic operators in a bounded domain

S. M. Kozlov
English version PDF (1014 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1985v024n01ABEH001211
Abstract: In this paper the author obtains high-frequency asymptotics of the trace of the product of a pair of spectral projections of elliptic operators in a bounded domain and of a number of similar expressions. Applications are given to the asymptotics' of the joint spectrum of a pair of commuting operators, to reducibility, and to quasiclassical asymptotics of the spectrum of an elliptic operator.
Bibliography: 11 titles.
Received: 15.09.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 1, Pages 53–76
Bibliographic databases:
UDC: 517.946
MSC: Primary 35P20; Secondary 35J40
Language: English
Original paper language: Russian
Citation: S. M. Kozlov, “Multidimensional spectral asymptotics for elliptic operators in a bounded domain”, Izv. Akad. Nauk SSSR Ser. Mat., 48:1 (1984), 53–76; Math. USSR-Izv., 24:1 (1985), 49–71
Citation in format AMSBIB
\Bibitem{Koz84}
\by S.~M.~Kozlov
\paper Multidimensional spectral asymptotics for elliptic operators in a~bounded domain
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 1
\pages 53--76
\mathnet{http://mi.mathnet.ru/im1418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=733358}
\zmath{https://zbmath.org/?q=an:0571.35082}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 1
\pages 49--71
\crossref{https://doi.org/10.1070/IM1985v024n01ABEH001211}
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  • https://doi.org/10.1070/IM1985v024n01ABEH001211
  • https://www.mathnet.ru/eng/im/v48/i1/p53
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:333
    Russian version PDF:82
    English version PDF:14
    References:69
    First page:1
     
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