First-order expansions for eigenvalues and eigenfunctions in periodic homogenization

For a family of elliptic operators with periodically oscillating coefficients, $-{\rm div}(A(\cdot /\varepsilon )\nabla )$ with tiny ε > 0, we comprehensively study the first-order expansions of eigenvalues and eigenfunctions (eigenspaces) for both the Dirichlet and Neumann problems in bounded, s...

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Bibliographic Details

Published in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 150; no. 5; pp. 2189 - 2215
Main Author:	Zhuge, Jinping
Format:	Journal Article
Language:	English
Published:	Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.10.2020 Cambridge University Press
Subjects:	Boundary layers Dirichlet problem Domains Eigenvalues Eigenvectors Homogenization eigenfunctions Homogenization eigenvalues 35B27 boundary layers 35P20
ISSN:	0308-2105, 1473-7124
Online Access:	Get full text
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