Non-local approximation of free-discontinuity functionals with linear growth: the one-dimensional case |
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| Authors: | Luca Lussardi Enrico Vitali |
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| Affiliation: | (1) Dipartimento di Matematica “F. Casorati”, Via Ferrata 1, 27100 Pavia, Italy |
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| 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. |
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| Keywords: | Variational approximation Free discontinuities |
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