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2005 ON THE HOMOGENIZATION OF SECOND ORDER DIFFERENTIAL EQUATIONS
Jiann-Sheng Jiang, Kung-Hwang Kuo, Chi-Kun Lin
Taiwanese J. Math. 9(2): 215-236 (2005). DOI: 10.11650/twjm/1500407797

Abstract

We discuss the homogenization process of second order differential equations involving highly oscillating coefficients in the time and space variables. It generate memory or nonlocal effect. For initial value problems, the memory kernels are described by Volterra integral equations; and for boundary value problems, they are characterized by Fredholm integral equations. When the equation is translation (in time or in space) invariant, the memory or nonlocal kernel can be represented explicitly in terms of the Young's measure.

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Jiann-Sheng Jiang. Kung-Hwang Kuo. Chi-Kun Lin. "ON THE HOMOGENIZATION OF SECOND ORDER DIFFERENTIAL EQUATIONS." Taiwanese J. Math. 9 (2) 215 - 236, 2005. https://doi.org/10.11650/twjm/1500407797

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1077.35020
MathSciNet: MR2142574
Digital Object Identifier: 10.11650/twjm/1500407797

Subjects:
Primary: 35B27 , 35B35

Keywords: dunford-Taylor integral , eigenfunction expansion , Green's function , Homogenization‎ , kinetic formulation , Volterra and Fredholm integral equations , weak limit , Young's measure

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 2 • 2005
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