On the Eigenvalues of spectral gaps of elliptic PDEs on waveguides.

Aljawi, Salma and Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 2023. On the Eigenvalues of spectral gaps of elliptic PDEs on waveguides. Integral Equations and Operator Theory 95 (7) , pp. 1-40. 10.1007/s00020-023-02727-6

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Abstract

A method of calculating eigenvalues in the spectral gaps of self-adjoint elliptic partial differential equations on waveguides is presented. It is based on approximating the problem using domain truncation methods together with dissipative perturbation technique to the self-adjoint operator. The theoretical results essentially rely on the error estimate of Dirichlet-to-Neumann maps on the cross-section. The numerical examples show the efficiency of this approach.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer
ISSN:	0378-620X
Date of First Compliant Deposit:	5 April 2023
Date of Acceptance:	6 February 2023
Last Modified:	11 Nov 2024 14:15
URI:	https://orca.cardiff.ac.uk/id/eprint/158306

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