Burenkov, Victor and Feleqi, Ermal 2013. Extension of the notion of a gap to differential operators defined on different open sets. Mathematische Nachrichten 286 (5-6) , pp. 518-535. 10.1002/mana.201100073 |
Abstract
In this paper the notion of a gap between two linear operators is extended to the case of linear differential operators defined on different open sets. Estimates of the gap between second order uniformly elliptic partial differential operators subject to homogeneous Dirichlet boundary conditions defined on different open sets Ω1 and Ω2 are obtained in terms of the geometrical characteristics of vicinity of Ω1 and Ω2. These estimates can be used for obtaining spectral stability estimates for the eigenvalues and eigenfunctions of the aforementioned operators.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Uncontrolled Keywords: | Gap between linear operators; elliptic operators; |
Publisher: | Wiley |
ISSN: | 0025-584X |
Date of Acceptance: | 17 September 2011 |
Last Modified: | 23 Jul 2020 02:07 |
URI: | http://orca.cf.ac.uk/id/eprint/84895 |
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