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Publication 11-CNA-006

Reiterated Homogenization in BV via Multiscale Convergence

Rita Ferreira
I.C.T.I. - Carnegie Mellon | Portugal, F.C.T./C.M.A. da U.N.L.
Quinta da Torre
2829.516 Caparica, Portugal
rferreir@andrew.cmu.edu, ragf@fct.unl.pt

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

 

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 [30]. In the case of one microscale Amar's result [3] is recovered under more general conditions; for two or more microscales new results are obtained.

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