Asymptotics for the spectrum of a Floquet-parametric family of homogenization problems associated with a Dirichlet waveguide
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Publication:6601890
DOI10.1007/978-3-031-07171-3_7zbMATH Open1547.35194MaRDI QIDQ6601890
Rafael Orive-Illera, Sergey A. Nazarov, M.-E. Pérez-Martínez, D. Gómez
Publication date: 11 September 2024
General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
- Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients
- Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations
- On the Polarization Matrix for a Perforated Strip
- Spectral gaps for the Dirichlet‐Laplacian in a 3‐D waveguide periodically perturbed by a family of concentrated masses
- Regular degeneration and boundary layer for linear differential equations with small parameter
- Floquet theory for partial differential equations
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