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Spectral boundary homogenization in domains with oscillating boundaries - MaRDI portal

Spectral boundary homogenization in domains with oscillating boundaries (Q602883)

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scientific article; zbMATH DE number 5810868
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Spectral boundary homogenization in domains with oscillating boundaries
scientific article; zbMATH DE number 5810868

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    Spectral boundary homogenization in domains with oscillating boundaries (English)
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    5 November 2010
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    The aim of this paper is to deal with the asymptotic behavior of solutions to a spectral problem for the Laplace equation posed in a domain (with mixed Dirichlet-Neumann boundary conditions) with rapidly oscillating boundary. Both cases of simple and multiple eigenvalues (of the limit problem) are rigorously studied and then verified by means of asymptotics.
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    homogenization
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    spectral theory
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    oscillating boundaries
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    mixed Dirichlet-Neumann boundary conditions
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