First-order expansion for the Dirichlet eigenvalues of an elliptic system with oscillating coefficients

DOI10.3233/ASY-121158zbMath1292.35187arXiv1111.2517OpenAlexW1869191354MaRDI QIDQ2852336

Christophe Prange

Publication date: 8 October 2013

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2517

zbMATH Keywords

asymptotic expansionhomogenizationDirichlet eigenvaluesboundary layerselliptic systemsoscillating coefficientslow frequency waves

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Asymptotic Expansion of the Spectrum for Periodic Schrödinger Operators ⋮ First-order expansions for eigenvalues and eigenfunctions in periodic homogenization

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