Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density (Q548734)
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scientific article; zbMATH DE number 5915277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density |
scientific article; zbMATH DE number 5915277 |
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Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density (English)
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30 June 2011
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The authors study the asymptotic behavior of the spectrum of the Dirichlet problem for a formally selfadjoint elliptic system of differential equations with with rapidly oscillating coefficients and changing sign density. The problem possesses positive and negative infinitely large sequences of eigenvalues. Their asymptotic structure essentially depends on the mean value of density.
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homogenization
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Dirichlet problem
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PDE with rapidly oscillating coefficients
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