We approximate, in the sense of Gamma-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.
Lussardi, L., Vitali, E., Non local approximation of free discontinuity functionals with linear growth: the one-dimensional case, <<ANNALI DI MATEMATICA PURA ED APPLICATA>>, 2007; 186 (4): 722-744. [doi:10.1007/s10231-006-0028-8] [http://hdl.handle.net/10807/1975]
Non local approximation of free discontinuity functionals with linear growth: the one-dimensional case
Lussardi, Luca;
2007
Abstract
We approximate, in the sense of Gamma-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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