Taiwanese Journal of Mathematics

TWO-SCALE HOMOGENIZATION AND MEMORY EFFECTS OF A FIRST ORDER DIFFERENTIAL EQUATION

Jiann-Sheng Jiang

Full-text: Open access

Abstract

We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of a first order linear differential equation. We show that it generates memory effects and the memory kernel is described by a Volterra integral equation. The explicit form of the memory kernel is given in terms of a Radon measure.

Article information

Source
Taiwanese J. Math., Volume 10, Number 4 (2006), 963-976.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500403887

Digital Object Identifier
doi:10.11650/twjm/1500403887

Mathematical Reviews number (MathSciNet)
MR2229635

Zentralblatt MATH identifier
1141.35326

Subjects
Primary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] 35B35: Stability

Keywords
homogenization two-scale convergence weak limits Volterra integral equation Radon measure

Citation

Jiang, Jiann-Sheng. TWO-SCALE HOMOGENIZATION AND MEMORY EFFECTS OF A FIRST ORDER DIFFERENTIAL EQUATION. Taiwanese J. Math. 10 (2006), no. 4, 963--976. doi:10.11650/twjm/1500403887. https://projecteuclid.org/euclid.twjm/1500403887


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References

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