Spectral analysis in a thin domain with periodically oscillating characteristics

DOI10.1051/cocv/2011100zbMath1248.35135OpenAlexW2136987019MaRDI QIDQ2911442

Rita Ferreira, M. Luísa Mascarenhas, Andrey L. Piatnitski

Publication date: 31 August 2012

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/221940

zbMATH Keywords

dimension reductionasymptotic expansionsspectral analysisperiodic homogenization\(\Gamma \)-convergence

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational methods for eigenvalues of operators (49R05)

Related Items (1)

Norm resolvent approximation of thin homogeneous tubes by heterogeneous ones

Cites Work

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• Homogenization of elliptic eigenvalue problems. I
• Waves in a thin and periodically oscillating medium
• Bloch wave homogenization and spectral asymptotic analysis
• Homogenization of elliptic eigenvalue problems. II
• Homogenization of eigenvalue problems in perforated domains
• Degeneration of effective diffusion in the presence of periodic potential
• Elliptic Partial Differential Equations of Second Order
• Analyse asymptotique spectrale d’un problème de diffusion neutronique
• Effective Diffusion for a Parabolic Operator with Periodic Potential
• On the curvature and torsion effects in one dimensional waveguides
• Regular degeneration and boundary layer for linear differential equations with small parameter

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