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 we already proved in the one-dimensional case.
Lussardi, L., Vitali, E., NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH, <<ESAIM. COCV>>, 2007; 13 (1): 135-162. [doi:10.1051/cocv:2007008] [http://hdl.handle.net/10807/1973]
Autori: | ||
Titolo: | NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1051/cocv:2007008 | |
Data di pubblicazione: | 2007 | |
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 we already proved in the one-dimensional case. | |
Lingua: | Inglese | |
Rivista: | ||
Citazione: | Lussardi, L., Vitali, E., NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH, <<ESAIM. COCV>>, 2007; 13 (1): 135-162. [doi:10.1051/cocv:2007008] [http://hdl.handle.net/10807/1973] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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