Homogenization of second order equation with spatial dependent coefficient

被引：0

作者：

Jiang, JS ^{[1
]}

Kuo, KH

Lin, CK

机构：

[1] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[2] Tung Fang Inst Technol, Dept Elect & Informat Engn, Kaohsiung 829, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 12卷 / 02期

关键词：

homogenization; weak limits; young measure; Fredholm integral equation; eignfunction expansion;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：303 / 313

页数：11

共 25 条

[1]

ALLAIRE G, 1999, LECT NOTE NEWTON I C

[2] HOMOGENIZATION OF 1ST ORDER HYPERBOLIC-EQUATIONS AND APPLICATION TO MISCIBLE FLOW IN POROUS-MEDIA [J].