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February  2005, 12(2): 303-313. doi: 10.3934/dcds.2005.12.303

Homogenization of second order equation with spatial dependent coefficient

Jiann-Sheng Jiang 1, , Kung-Hwang Kuo 1, and  Chi-Kun Lin 1,

1. 

Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan, Taiwan

Received  March 2003 Revised  June 2004 Published  December 2004

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: Fredholm integral equation, eigenfunction expansion., Young measure, weak limits, Homogenization.
Mathematics Subject Classification: 35B27, 35B3.
Citation: Jiann-Sheng Jiang, Kung-Hwang Kuo, Chi-Kun Lin. Homogenization of second order equation with spatial dependent coefficient. Discrete & Continuous Dynamical Systems, 2005, 12 (2) : 303-313. doi: 10.3934/dcds.2005.12.303
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