Article contents
Non-local approximation of free-discontinuity problemswith linear growth
Published online by Cambridge University Press: 14 February 2007
Abstract
We approximate, in the sense ofΓ-convergence, free-discontinuity functionals with lineargrowth in the gradient by a sequence of non-local integralfunctionals depending on the average of the gradients on smallballs. The result extends to higher dimension what we already proved inthe one-dimensional case.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 1 , January 2007 , pp. 135 - 162
- Copyright
- © EDP Sciences, SMAI, 2007
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