The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization (Q2817571)
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scientific article; zbMATH DE number 6621333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization |
scientific article; zbMATH DE number 6621333 |
Statements
The Neumann problem for elliptic equations with multiscale coefficients: operator estimates for homogenization (English)
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1 September 2016
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multiscale homogenization
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Steklov smoothing
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corrector estimates
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The author uses operator estimates to obtain corrector estimates (à la \textit{M. Sh. Birman} and \textit{T. A. Suslina} [St. Petersbg. Math. J. 15, No. 5, 639--714 (2004; Zbl 1072.47042); translation from Algebra Anal. 15, No. 5, 1--108 (2003)] ) for the homogenization of a Neumann problem with a coefficient etailing weak separated oscillations (i.e., having the structure \(a(x/\varepsilon,x/\varepsilon^2)\)). The analysis is done in a fixed, non-perforrated domain.
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