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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 3, Pages 26–54 (Mi ufa101)  

This article is cited in 4 scientific papers (total in 4 papers)

Spectral asymptotics of nonselfadjoint degenerate elliptic operators with singular matrix coefficients on an interval

M. G. Gadoev

Mirnyi Polytechnic Institute (branch of the NEFU), Mirnyi, Russia
Full-text PDF (536 kB) Citations (4)
References:
Abstract: Some spectral asymptotic properties of the nonselfadjoint operator $A$ associated with a noncoercive bilinear form in the space $\mathcal H^l=L_2(0,1)^l$ are investigated in the article.
Such problems as summability of the Fourier series of elements $f\in\mathcal H^l$ with respect to the system of root vector-functions of the operator $A$ by the Abel method with brackets, estimate for the resolvent of the operator $A$ are considered.
Keywords: elliptic differential operators, resolvent of operator, summability by the Abel method with brackets, system of root vector-functions.
Received: 10.06.2011
Bibliographic databases:
Document Type: Article
UDC: 517.918
Language: Russian
Citation: M. G. Gadoev, “Spectral asymptotics of nonselfadjoint degenerate elliptic operators with singular matrix coefficients on an interval”, Ufa Math. J., 3:3 (2011)
Citation in format AMSBIB
\Bibitem{Gad11}
\by M.~G.~Gadoev
\paper Spectral asymptotics of nonselfadjoint degenerate elliptic operators with singular matrix coefficients on an interval
\jour Ufa Math. J.
\yr 2011
\vol 3
\issue 3
\mathnet{http://mi.mathnet.ru//eng/ufa101}
\zmath{https://zbmath.org/?q=an:1249.47030}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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