# Non-local approximation of free-discontinuity problems with linear growth

ESAIM: Control, Optimisation and Calculus of Variations (2007)

- Volume: 13, Issue: 1, page 135-162
- ISSN: 1292-8119

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topLussardi, Luca, and Vitali, Enrico. "Non-local approximation of free-discontinuity problems with linear growth." ESAIM: Control, Optimisation and Calculus of Variations 13.1 (2007): 135-162. <http://eudml.org/doc/249997>.

@article{Lussardi2007,

abstract = {
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.
},

author = {Lussardi, Luca, Vitali, Enrico},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Variational approximation; free discontinuities.; variational approximation; free discontinuities},

language = {eng},

month = {2},

number = {1},

pages = {135-162},

publisher = {EDP Sciences},

title = {Non-local approximation of free-discontinuity problems with linear growth},

url = {http://eudml.org/doc/249997},

volume = {13},

year = {2007},

}

TY - JOUR

AU - Lussardi, Luca

AU - Vitali, Enrico

TI - Non-local approximation of free-discontinuity problems with linear growth

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2007/2//

PB - EDP Sciences

VL - 13

IS - 1

SP - 135

EP - 162

AB -
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.

LA - eng

KW - Variational approximation; free discontinuities.; variational approximation; free discontinuities

UR - http://eudml.org/doc/249997

ER -

## References

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