This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional.
Accepté le :
DOI : 10.1051/cocv/2017010
Mots clés : Calculus of variations, local minimality, mumford-Shah functional, free discontinuity problems, second variation
@article{COCV_2018__24_1_401_0,
author = {Cristoferi, Riccardo},
title = {A second order local minimality criterion for the triple junction singularity of the {Mumford-Shah} functional},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {401--435},
publisher = {EDP-Sciences},
volume = {24},
number = {1},
year = {2018},
doi = {10.1051/cocv/2017010},
mrnumber = {3843190},
zbl = {1401.49019},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2017010/}
}
TY - JOUR AU - Cristoferi, Riccardo TI - A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2018 SP - 401 EP - 435 VL - 24 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2017010/ DO - 10.1051/cocv/2017010 LA - en ID - COCV_2018__24_1_401_0 ER -
%0 Journal Article %A Cristoferi, Riccardo %T A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional %J ESAIM: Control, Optimisation and Calculus of Variations %D 2018 %P 401-435 %V 24 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2017010/ %R 10.1051/cocv/2017010 %G en %F COCV_2018__24_1_401_0
Cristoferi, Riccardo. A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 401-435. doi : 10.1051/cocv/2017010. http://www.numdam.org/articles/10.1051/cocv/2017010/
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