TY - JOUR
T1 - NON LOCAL APPROXIMATION OF FREE DISCONTINUITY PROBLEMS WITH LINEAR GROWTH
AU - Lussardi, Luca
AU - Vitali, Enrico
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
KW - free discontinuity problems
KW - free discontinuity problems
UR - http://hdl.handle.net/10807/1973
U2 - 10.1051/cocv:2007008
DO - 10.1051/cocv:2007008
M3 - Article
SN - 1292-8119
VL - 13
SP - 135
EP - 162
JO - ESAIM - Control, Optimisation and Calculus of Variations
JF - ESAIM - Control, Optimisation and Calculus of Variations
ER -