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

Marletta, Marco; 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. Elsevier 10.1016/j.jfa.2013.02.008

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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:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Marletta, Marco and Tretter, Christiane

Subjects:

500 Science > 510 Mathematics

ISSN:

0022-1236

Publisher:

Elsevier

Language:

English

Submitter:

Mario Amrein

Date Deposited:

20 Aug 2014 13:59

Last Modified:

07 Oct 2015 10:25

Publisher DOI:

10.1016/j.jfa.2013.02.008

Uncontrolled Keywords:

Basis, Pencil, Flow, Stability

BORIS DOI:

10.7892/boris.47947

URI:

https://boris.unibe.ch/id/eprint/47947

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