Homogenization of second order equation with spatial dependent coefficient
Jiann-Sheng Jiang - Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan (email)
Abstract: We establish the homogenization of the boundary value problem of a second order differential equation. It generates nonlocal effect. The eigenfunction expansion and Fredholm integral equation are exploited to obtain a characterization of the kernel while in the space independent case the Young measure is applied to obtain the explicit formula of the kernel.
Keywords: Homogenization, weak limits, Young measure, Fredholm integral equation,
Received: March 2003; Revised: June 2004; Published: December 2004.
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