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Contemporary Mathematics. Fundamental Directions, 2006, Volume 15, Pages 76–111 (Mi cmfd41)  
This article is cited in 30 scientific papers (total in 30 papers)

Spectral Stability of Nonnegative Self-Adjoint Operators

V. I. Burenkova, P. D. Lambertib, M. Lanza de Cristoforisb

a Cardiff University
b University of Padua
Full-text PDF (397 kB) Citations (30)
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Abstract: The survey is devoted to spectral stability problems for uniformly elliptic differential operators under the variation of the domain and to the accompanying estimates for the difference of the eigenvalues. Two approaches to the problem are discussed in detail. In the first one it is assumed that the domain is transformed by means of a transformation of a certain class and spectral stability with respect to this transformation is investigated. The second approach is based on the notion of a transition operator and allows direct comparison of the eigenvalues on domains which are close in that or other sense.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 4, Pages 1417–1452
DOI: https://doi.org/10.1007/s10958-008-0074-4
Bibliographic databases:
UDC: 517.55+517.95
Language: Russian
Citation: V. I. Burenkov, P. D. Lamberti, M. Lanza de Cristoforis, “Spectral Stability of Nonnegative Self-Adjoint Operators”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, CMFD, 15, PFUR, M., 2006, 76–111; Journal of Mathematical Sciences, 149:4 (2008), 1417–1452
Citation in format AMSBIB
\Bibitem{BurLamLan06}
\by V.~I.~Burenkov, P.~D.~Lamberti, M.~Lanza de Cristoforis
\paper Spectral Stability of Nonnegative Self-Adjoint Operators
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~1
\serial CMFD
\yr 2006
\vol 15
\pages 76--111
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd41}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336430}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 4
\pages 1417--1452
\crossref{https://doi.org/10.1007/s10958-008-0074-4}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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