Using a calibration method we prove that, if is a closed regular hypersurface and if the function is discontinuous along and regular outside, then the function which solves
@article{ASNSP_2002_5_1_3_603_0, author = {Morini, Massimiliano}, title = {Global calibrations for the non-homogeneous {Mumford-Shah} functional}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {603--648}, publisher = {Scuola normale superiore}, volume = {Ser. 5, 1}, number = {3}, year = {2002}, mrnumber = {1990674}, zbl = {1170.49308}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2002_5_1_3_603_0/} }
TY - JOUR AU - Morini, Massimiliano TI - Global calibrations for the non-homogeneous Mumford-Shah functional JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2002 SP - 603 EP - 648 VL - 1 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2002_5_1_3_603_0/ LA - en ID - ASNSP_2002_5_1_3_603_0 ER -
%0 Journal Article %A Morini, Massimiliano %T Global calibrations for the non-homogeneous Mumford-Shah functional %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2002 %P 603-648 %V 1 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_2002_5_1_3_603_0/ %G en %F ASNSP_2002_5_1_3_603_0
Morini, Massimiliano. Global calibrations for the non-homogeneous Mumford-Shah functional. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 1 (2002) no. 3, pp. 603-648. http://www.numdam.org/item/ASNSP_2002_5_1_3_603_0/
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