| Issue |
ESAIM: COCV
Volume 13, Number 1, January-March 2007
|
|
|---|---|---|
| Page(s) | 135 - 162 | |
| DOI | https://doi.org/10.1051/cocv:2007008 | |
| Published online | 14 February 2007 | |
Non-local approximation of free-discontinuity problems with linear growth
Dipartimento di Matematica “F. Casorati”
Via Ferrata 1, 27100, Pavia, Italy;
luca.lussardi@unipv.it
Received:
7
July
2005
Revised:
22
November
2005
We approximate, in the sense of Γ-convergence, free-discontinuity functionals with linear growth in the gradient by a sequence of non-local integral functionals depending on the average of the gradients on small balls. The result extends to higher dimension what we already proved in the one-dimensional case.
Mathematics Subject Classification: 49Q20 / 49J45 / 49M30
Key words: Variational approximation / free discontinuities.
© EDP Sciences, SMAI, 2007
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