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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 3, Pages 26–54
(Mi ufa101)
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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
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
Citation:
M. G. Gadoev, “Spectral asymptotics of nonselfadjoint degenerate elliptic operators with singular matrix coefficients on an interval”, Ufa Math. J., 3:3 (2011)
Linking options:
https://www.mathnet.ru/eng/ufa101 https://www.mathnet.ru/eng/ufa/v3/i3/p26
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