On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides-Reference-Cited by-同舟云学术

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On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides

Published:2023-02-28 Issue:1 Volume:95 Page:
ISSN:0378-620X
Container-title:Integral Equations and Operator Theory
language:en
Short-container-title:Integr. Equ. Oper. Theory

Author:

Aljawi Salma,Marletta Marco

Funder

Saudi Arabia Cultural Bureau in London

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00020-023-02727-6.pdf

Reference42 articles.

1. Kuchment, P.: The Mathematics of Photonic Crystals. Mathematical Modeling in Optical Science, pp. 207–272. SIAM, Philadelphia (2001)

2. Solymar, L., Shamonina, E.: Waves in Metamaterials. Oxford University Press, Oxford (2009)

3. Rappaz, J.: Spectral pollution of a noncompact operator. Comput. Phys. Comm. 24(3–4), 323–327 (1981)

4. Zimmermann, S., Mertins, U.: Variational bounds to eigenvalues of self-adjoint eigenvalue problems with arbitrary spectrum. Zeitschrift für Analysis und ihre Anwendungen 14(2), 327–345 (1995)

5. Davies, E.B.: Spectral enclosures and complex resonances for general self-adjoint operators. LMS J. Comput. Math. 1, 42–74 (1998)

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1. Spectral properties of a class of operator functions with applications to the Moore-Gibson-Thompson equation with memory;Journal of Mathematical Analysis and Applications;2024-04

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