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Non-local approximation of free-discontinuity functionals with linear growth: the one-dimensional case
- Source :
- Annali di Matematica Pura ed Applicata. 186:721-744
- Publication Year :
- 2007
- Publisher :
- Springer Science and Business Media LLC, 2007.
-
Abstract
- We approximate, in the sense of Γ-convergence, one-dimensional free- discontinuity functionals with linear growth in the gradient by means of a sequence of non-local integral functionals depending on the averages of the gradient on small intervals.
Details
- ISSN :
- 16181891 and 03733114
- Volume :
- 186
- Database :
- OpenAIRE
- Journal :
- Annali di Matematica Pura ed Applicata
- Accession number :
- edsair.doi.dedup.....1449776ef7ddd42b1aa9148df3f8c826
- Full Text :
- https://doi.org/10.1007/s10231-006-0028-8