Estimates of eigenvalues and eigenfunctions in periodic homogenization (Q363240)
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scientific article; zbMATH DE number 6203612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of eigenvalues and eigenfunctions in periodic homogenization |
scientific article; zbMATH DE number 6203612 |
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Estimates of eigenvalues and eigenfunctions in periodic homogenization (English)
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2 September 2013
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Summary: For a family of elliptic operators with rapidly oscillating periodic coefficients, we study the convergence rates for Dirichlet eigenvalues and bounds of the normal derivatives of Dirichlet eigenfunctions. The results rely on an \(O(\varepsilon)\) estimate in \(H^1\) for solutions with Dirichlet condition.
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Dirichlet eigenvalues
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Dirichlet eigenfunctions
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elliptic operators
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periodic homogenization
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