Uniform regularity estimates in homogenization theory of elliptic system with lower order terms (Q252939)

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scientific article; zbMATH DE number 6549780
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Uniform regularity estimates in homogenization theory of elliptic system with lower order terms
scientific article; zbMATH DE number 6549780

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    Uniform regularity estimates in homogenization theory of elliptic system with lower order terms (English)
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    4 March 2016
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    The focus of the paper lies on obtaining uniform regularity estimates for linear elliptic systems with oscillating lower order terms. The author extends previous results by \textit{M. Avellaneda} and \textit{F.-H. Lin} [Commun. Pure Appl. Math. 40, No. 6, 803--847 (1987; Zbl 0632.35018); Appl. Math. Optim. 15, 93--107 (1987; Zbl 0644.35034); Commun. Pure Appl. Math. 42, No. 2, 139--172 (1989; Zbl 0645.35019)]. It is worth pointing out that corrector estimates are also pointed out in the \(W^{1,p}(\Omega)\) setting.
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    corrector estimates
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    oscillating lower order terms
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