Abstract and Applied Analysis 
Volume 2007 (2007), Article ID 98538, 6 pages
doi:10.1155/2007/98538
Research Article

Homogenization of Elliptic Differential Equations in One-Dimensional Spaces

G. Grammel

 Centre for Mathematics, Technical University of Munich, 3 Boltzmann Street, Garching 85747, Germany
Received 16 August 2006; Revised 7 December 2006; Accepted 14 December 2006

Recommended by Vesa Mustonen

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 L2-functions involved.