Homogenization by blow-up

Authors: Braides, Andrea1; Maslennikov, Mikhail2; Sigalotti, Laura2

Source: Applicable Analysis, Volume 87, Number 12, December 2008 , pp. 1341-1356(16)

Publisher: Taylor and Francis Ltd

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Abstract:

In this article we highlight how the Fonseca and Muller blow-up technique is particularly well suited for homogenization problems. As examples we give a simple proof of the non-linear homogenization theorem for integral functionals and we prove a homogenization theorem for sets of finite perimeter.

Keywords: Γ-convergence; homogenization; blow-up

Document Type: Research article

DOI: 10.1080/00036810802555458

Affiliations: 1: Dipartimento di Matematica, Universita di Roma 'Tor Vergata', Roma, Italy 2: Dipartimento di Matematica, Universita di Roma 'La Sapienza', Roma, Italy

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