Homogenization of second order equation with spatial dependent coefficient
Jiann-Sheng Jiang, Kung-Hwang Kuo, Chi-Kun Lin · Discrete and Continuous Dynamical Systems · 2005
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.