SIAM Journal on Mathematical Analysis


SIAM J. Math. Anal., 44(3), 2053–2098. (46 pages)

Reiterated Homogenization in $BV$ via Multiscale Convergence

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Article Data

History

Submitted: 1 March 2011
Accepted: 19 December 2011
Published online: 19 June 2012

AMS Subject Headings

49J45, 35B27, 26A45

Publication Data

ISSN (print): 0036-1410
ISSN (online): 1095-7154
Publisher: Society for Industrial and Applied Mathematics
CODEN: sjmaah
Rita Ferreira and Irene Fonseca
https://doi.org/10.1137/110826205

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.

© 2012, Society for Industrial and Applied Mathematics
Permalink: https://doi.org/10.1137/110826205

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