We approximate, in the sense of Gamma-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 already proved in the one-dimensional case.

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

VITALI, ENRICO;LUSSARDI, LUCA
2007-01-01

Abstract

We approximate, in the sense of Gamma-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 already proved in the one-dimensional case.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/132782
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