Asymptotics for the Spectrum of a Floquet-Parametric Family of Homogenization Problems Associated with a Dirichlet Waveguide-Reference-Cited by-同舟云学术

Asymptotics for the Spectrum of a Floquet-Parametric Family of Homogenization Problems Associated with a Dirichlet Waveguide

Published:2022 Issue: Volume: Page:95-111
ISSN:
Container-title:Integral Methods in Science and Engineering
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Author:

Gómez D.,A. Nazarov S.,Orive-Illera R.,Pérez-Martínez M. -E.

Publisher

Springer International Publishing

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-07171-3_7

Reference20 articles.

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2. Bakharev, F.L., Pérez, E.: Spectral gaps for the Dirichlet-Laplacian in a 3-D waveguide periodically perturbed by a family of concentrated masses. Math. Nachr. 291(4), 556–575 (2018)

3. Birman, M.Sh., Solomjak, M.Z.: Spectral Theory of Selfadjoint Operators in Hilbert Spaces. [Translated from the 1980 Russian original by S. Khrushchëv and V. Peller], Mathematics and its Applications (Soviet Series). D. Reidel Publishing, Dordrecht (1987)

4. Conca, C., Planchard, J., Vanninathan, M.: Fluids and Periodic Structures. RAM: Research in Applied Mathematics, vol. 38. Wiley, Chichester; Masson, Paris (1995)

5. Gelfand, I.M.: Expansion in characteristic functions of an equation with periodic coefficients (Russian). Doklady Akad. Nauk SSSR 73, 1117–1120 (1950)

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2. Asymptotics for the Spectrum of a Floquet-Parametric Family of Homogenization Problems Associated with a Dirichlet Waveguide;Integral Methods in Science and Engineering;2022