This article is cited 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.

UDC: 517.918

Received: 10.06.2011

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