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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 2, Pages 431–443
DOI: https://doi.org/10.1070/SM1991v070n02ABEH001260 (Mi sm1205) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of the spectrum of compact pseudodifferential operators in unbounded domains

A. S. Andreev

Popov Higher Naval Academy of Radio Electronics
English version PDF (598 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1991v070n02ABEH001260
Abstract: We study the spectrum of compact selfadjoint pseudodifferential operators with matrix symbol in unbounded sets in Euclidean space. Two-sided bounds for the spectrum are obtained by the variational method. Additional regularity assumptions on the symbol lead to a formula for the spectral asymptotics with a remainder term estimate.
Received: 08.06.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 7, Pages 995–1006
Bibliographic databases:
UDC: 515.1
MSC: 35S05, 47G05, 35P20
Language: English
Original paper language: Russian
Citation: A. S. Andreev, “Estimates of the spectrum of compact pseudodifferential operators in unbounded domains”, Mat. Sb., 181:7 (1990), 995–1006; Math. USSR-Sb., 70:2 (1991), 431–443
Citation in format AMSBIB
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\by A.~S.~Andreev
\paper Estimates of the spectrum of compact pseudodifferential operators in unbounded domains
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\yr 1990
\vol 181
\issue 7
\pages 995--1006
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 2
\pages 431--443
\crossref{https://doi.org/10.1070/SM1991v070n02ABEH001260}
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  • https://doi.org/10.1070/SM1991v070n02ABEH001260
  • https://www.mathnet.ru/eng/sm/v181/i7/p995
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:209
    Russian version PDF:78
    English version PDF:4
    References:58
    First page:1
     
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