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

Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 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:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Elsevier
ISSN:	0022-1236
Funders:	EPSRC
Last Modified:	24 Oct 2022 12:03
URI:	https://orca.cardiff.ac.uk/id/eprint/50312

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