Homogenization of Elliptic Differential Equations in One-Dimensional Spaces

G. Grammel

Abstract and Applied Analysis, 2007, vol. 2007, 1-6

Abstract:

Linear elliptic differential equations with periodic coefficients in one-dimensional domains are considered. The approximation properties of the homogenized system are investigated. For H − 1 -data, it turns out that the order of approximation is strongly related to the decay of the Fourier coefficients of the L 2 -functions involved.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:098538

DOI: 10.1155/2007/98538

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