Reiterated homogenization in BV via multiscale convergence

Rita Ferreira, Irene Fonseca

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish (US)
Pages (from-to)2053-2098
Number of pages46
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2012
Externally publishedYes


  • 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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