FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 5, PAGES 11-19

On localization of the spectrum of non-self-adjoint differential operators

N. F. Valeev

Abstract

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In this paper, we consider the problem on the localization of the spectrum of non-self-adjoint differential operators on unbounded domains with power coefficients. For finding the location of spectrum points in the complex plane, we use isospectral deformations of differential operators and the properties of families of closed operators analytic in the Kato sense.

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Last modified: February 21, 2007