Homogenization of second order equation with spatial dependent coefficient

Jiann Sheng Jiang; Kung Hwang Kuo; Chi Kun Lin

doi:10.3934/dcds.2005.12.303

Homogenization of second order equation with spatial dependent coefficient

Jiann Sheng Jiang^*
, Kung Hwang Kuo
, Chi Kun Lin

^*Corresponding author for this work

National Cheng Kung University
Tung Fang Design University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	303-313
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems
Volume	12
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2005.12.303
Publication status	Published - Feb 2005
Externally published	Yes

Keywords

Eigenfunction expansion
Fredholm integral equation
Homogenization
Weak limits
Young measure

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10.3934/dcds.2005.12.303

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title = "Homogenization of second order equation with spatial dependent coefficient",

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 = "Eigenfunction expansion, Fredholm integral equation, Homogenization, Weak limits, Young measure",

author = "Jiang, \{Jiann Sheng\} and Kuo, \{Kung Hwang\} and Lin, \{Chi Kun\}",

year = "2005",

month = feb,

doi = "10.3934/dcds.2005.12.303",

language = "English",

volume = "12",

pages = "303--313",

journal = "Discrete and Continuous Dynamical Systems",

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T1 - Homogenization of second order equation with spatial dependent coefficient

AU - Jiang, Jiann Sheng

AU - Kuo, Kung Hwang

AU - Lin, Chi Kun

PY - 2005/2

Y1 - 2005/2

N2 - 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.

AB - 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.

KW - Eigenfunction expansion

KW - Fredholm integral equation

KW - Homogenization

KW - Weak limits

KW - Young measure

UR - https://www.scopus.com/pages/publications/15744404710

U2 - 10.3934/dcds.2005.12.303

DO - 10.3934/dcds.2005.12.303

M3 - Article

AN - SCOPUS:15744404710

SN - 1078-0947

VL - 12

SP - 303

EP - 313

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 2

ER -

Homogenization of second order equation with spatial dependent coefficient

Abstract

Keywords

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