Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide
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Publication:6073285
DOI10.1002/mana.202100589zbMath1525.35018arXiv2302.11912MaRDI QIDQ6073285
M.-E. Pérez-Martínez, Sergueï A. Nazarov, Delfina Gómez, Rafael Orive-Illera
Publication date: 17 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.11912
homogenizationspectral gapswaveguideperforated mediaNeumann-Laplace operatorspectral perturbationsdouble periodicityband-gap structure
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
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- Gap opening and split band edges in waveguides coupled by a periodic system of small windows
- Opening of a gap in the continuous spectrum of a periodically perturbed waveguide
- Bloch wave homogenization and spectral asymptotic analysis
- Elliptic problems in domains with piecewise smooth boundaries
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
- The asymptotic analysis of gaps in the spectrum of a waveguide perturbed with a periodic family of small voids
- Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients
- Effective Helmholtz problem in a domain with a Neumann sieve perforation
- Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations
- On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
- A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide
- Ondes élastiques dans une bande périodique
- On the Polarization Matrix for a Perforated Strip
- Regular degeneration and boundary layer for linear differential equations with small parameter
- Spectral gaps in a double-periodic perforated Neumann waveguide
- Floquet theory for partial differential equations