Reiterated homogenization in BV via multiscale convergence

Rita Ferreira; Irene Fonseca

doi:10.1137/110826205

Reiterated homogenization in BV via multiscale convergence

Rita Ferreira, Irene Fonseca

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

4 Scopus citations

Abstract

Multiple-scale homogenization problems are treated in the space BV of functions of bounded variation, using the notion of multiple-scale convergence developed in [R. Ferreira and I. Fonseca, J. Convex Anal., to appear]. In the case of one microscale, Amar's result [Asymptot. Anal., 16 (1998), pp. 65-84] is recovered under more general conditions; for two or more microscales, new results are obtained.

Original language	English (US)
Pages (from-to)	2053-2098
Number of pages	46
Journal	SIAM Journal on Mathematical Analysis
Volume	44
Issue number	3
DOIs	https://doi.org/10.1137/110826205
State	Published - 2012
Externally published	Yes

Keywords

BV-valued measures
Linear growth
Multiscale convergence
Periodic homogenization
Space BV of functions of bounded variation
Γ-convergence

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/110826205

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abstract = "Multiple-scale homogenization problems are treated in the space BV of functions of bounded variation, using the notion of multiple-scale convergence developed in [R. Ferreira and I. Fonseca, J. Convex Anal., to appear]. In the case of one microscale, Amar's result [Asymptot. Anal., 16 (1998), pp. 65-84] is recovered under more general conditions; for two or more microscales, new results are obtained.",

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AB - Multiple-scale homogenization problems are treated in the space BV of functions of bounded variation, using the notion of multiple-scale convergence developed in [R. Ferreira and I. Fonseca, J. Convex Anal., to appear]. In the case of one microscale, Amar's result [Asymptot. Anal., 16 (1998), pp. 65-84] is recovered under more general conditions; for two or more microscales, new results are obtained.

KW - BV-valued measures

KW - Linear growth

KW - Multiscale convergence

KW - Periodic homogenization

KW - Space BV of functions of bounded variation

KW - Γ-convergence

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Reiterated homogenization in BV via multiscale convergence

Abstract

Keywords

ASJC Scopus subject areas

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