Homogenization of second order equation with spatial dependent coefficient

Pages: 303 - 313, Volume 12, Issue 2, February 2005

doi:10.3934/dcds.2005.12.303       Abstract        Full Text (168.9K)       Related Articles

Jiann-Sheng Jiang - Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan (email)
Kung-Hwang Kuo - Department of Mathematics, National Cheng Kung University, Tainan 701, Taiwan (email)
Chi-Kun Lin - 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, eigenfunction expansion.
Mathematics Subject Classification:  35B27, 35B35.

Received: March 2003;      Revised: June 2004;      Published: December 2004.