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Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow

Marletta, Marco and Tretter, Christiane 2013. Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow. Journal of Functional Analysis 264 (9) , pp. 2136-2176. 10.1016/j.jfa.2013.02.008

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Abstract

We obtain eigenvalue enclosures and basisness results for eigen- and associated functions of a non-self-adjoint unbounded linear operator pencil A−λBA−λB in which BB is uniformly positive and the essential spectrum of the pencil is empty. Both Riesz basisness and Bari basisness results are obtained. The results are applied to a system of singular differential equations arising in the study of Hagen–Poiseuille flow with non-axisymmetric disturbances.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Elsevier
ISSN: 0022-1236
Funders: EPSRC
Last Modified: 14 Jan 2019 02:52
URI: http://orca-mwe.cf.ac.uk/id/eprint/50312

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