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Publication 10-CNA-18
Characterization of the Multiscale Limit Associated with Bounded Sequences in BV Rita Ferreira Irene Fonseca Abstract:The notion of two-scale convergence for sequences of
Radon measures with finite total variation is generalized to the case of
multiple periodic length scales of oscillations. The main result concerns the
characterization of -scale limit pairs of sequences
whenever
is a bounded sequence in
. This characterization is useful in the study of the
asymptotic behavior of periodically oscillating functionals with linear
growth, defined on the space of functions of bounded variation and
described by
microscales, undertaken in [10]. ([10] R. Ferreira, I. Fonseca, Reiterated Homogenization in via Multiscale Convergence, in preparation) Get the paper in its entirety as |