| Issue |
ESAIM: COCV
Volume 19, Number 2, April-June 2013
|
|
|---|---|---|
| Page(s) | 486 - 515 | |
| DOI | https://doi.org/10.1051/cocv/2012018 | |
| Published online | 23 January 2013 | |
Γ-limits of convolution functionals
1
Dipartimento di Matematica e Fisica “N. Tartaglia”, Università
Cattolica del Sacro Cuore, via dei
Musei 41, 25121
Brescia,
Italy
l.lussardi@dmf.unicatt.it
2
Mathematisches Institut Abt. für Reine Mathematik, Albert-Ludwigs
Universität Freiburg, Eckerstrasse 1, 79104
Freiburg im Breisgau,
Germany
annibale.magni@math.uni-freiburg.de
Received:
24
December
2011
We compute the Γ-limit of a sequence of non-local integral functionals depending on a regularization of the gradient term by means of a convolution kernel. In particular, as Γ-limit, we obtain free discontinuity functionals with linear growth and with anisotropic surface energy density.
Mathematics Subject Classification: 49Q20 / 49J45 / 49M30
Key words: Free discontinuities / Γ-convergence / anisotropy
© EDP Sciences, SMAI, 2013
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