Geodesic
Non-local approximation of free-discontinuity problems with linear growth
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 1, pp. 135-162

Voir la notice de l'article provenant de la source Numdam

We approximate, in the sense of Γ-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.

DOI : 10.1051/cocv:2007008
Classification : 49Q20, 49J45, 49M30
Keywords: variational approximation, free discontinuities 
@article{COCV_2007__13_1_135_0,
     author = {Lussardi, Luca and Vitali, Enrico},
     title = {Non-local approximation of free-discontinuity problems with linear growth},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {135--162},
     publisher = {EDP-Sciences},
     volume = {13},
     number = {1},
     year = {2007},
     doi = {10.1051/cocv:2007008},
     mrnumber = {2282106},
     zbl = {1136.49029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007008/}
}
TY  - JOUR
AU  - Lussardi, Luca
AU  - Vitali, Enrico
TI  - Non-local approximation of free-discontinuity problems with linear growth
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2007
SP  - 135
EP  - 162
VL  - 13
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007008/
DO  - 10.1051/cocv:2007008
LA  - en
ID  - COCV_2007__13_1_135_0
ER  - 
%0 Journal Article
%A Lussardi, Luca
%A Vitali, Enrico
%T Non-local approximation of free-discontinuity problems with linear growth
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2007
%P 135-162
%V 13
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007008/
%R 10.1051/cocv:2007008
%G en
%F COCV_2007__13_1_135_0
Lussardi, Luca; Vitali, Enrico. Non-local approximation of free-discontinuity problems with linear growth. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 1, pp. 135-162. doi: 10.1051/cocv:2007008

Cité par Sources :