| Title | Characterization of the multiscale limit associated with bounded sequences in BV |
| Publication Type | Unpublished |
| Year of Publication | 2011 |
| Authors | Ferreira R, Fonseca I |
| Series Title | Preprint |
| Keywords | BV -valued measures, multiscale convergence, periodic homogenization |
| 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 the (n+1)-scale limit of sequences of distributional derivatives associated with bounded sequences in the space BV of functions of bounded variation. This characterization is useful in the study of the asymptotic behavior of periodically oscillating functionals with linear growth, defined in the space BV of functions of bounded variation and described by n ın Ν microscales, undertaken in [10]. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2011/7_11.pdf |
