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, 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: |
05 Dec 2022 14:32 |
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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