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• W2910669037 abstract "We consider the spectrum of a second-order elliptic operator in divergence form with periodic coefficients, which is known to be completely described by Bloch eigenvalues. We show that under small perturbations of the coefficients, a multiple Bloch eigenvalue can be made simple. The Bloch wave method of homogenization relies on the regularity of spectral edge. The spectral tools that we develop, allow us to obtain simplicity of an internal spectral edge through perturbation of the coefficients. As a consequence, we are able to establish Bloch wave homogenization at an internal edge in the presence of multiplicity by employing the perturbed Bloch eigenvalues. We show that all the crossing Bloch modes contribute to the homogenization at the internal edge and that higher and lower modes do not contribute to the homogenization process." @default.
• W2910669037 created "2019-01-25" @default.
• W2910669037 creator A5002372138 @default.
• W2910669037 creator A5086861084 @default.
• W2910669037 date "2018-07-02" @default.
• W2910669037 modified "2023-09-26" @default.
• W2910669037 title "Generic Simplicity of Spectral Edges and Applications to Homogenization." @default.
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• W2910669037 hasPublicationYear "2018" @default.
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