Differential and Integral Equations

Homogenization of imperfect transmission problems: the case of weakly converging data

Luisa Faella, Sara Monsurrò, and Carmen Perugia

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Abstract

The aim of this paper is to describe the asymptotic behavior, as $\varepsilon\to 0$, of an elliptic problem with rapidly oscillating coefficients in an $\varepsilon$-periodic two component composite with an interfacial contact resistance on the interface, in the case of weakly converging data.

Article information

Source
Differential Integral Equations, Volume 31, Number 7/8 (2018), 595-620.

Dates
First available in Project Euclid: 11 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.die/1526004032

Mathematical Reviews number (MathSciNet)
MR3801826

Zentralblatt MATH identifier
06890406

Subjects
Primary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] 35J25: Boundary value problems for second-order elliptic equations 82B24: Interface problems; diffusion-limited aggregation

Citation

Faella, Luisa; Monsurrò, Sara; Perugia, Carmen. Homogenization of imperfect transmission problems: the case of weakly converging data. Differential Integral Equations 31 (2018), no. 7/8, 595--620. https://projecteuclid.org/euclid.die/1526004032


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