%0 Journal Article %J Commun. Contemp. Math. 4 (2002) 297-326 %D 2002 %T Local calibrations for minimizers of the Mumford-Shah functional with a triple junction %A Maria Giovanna Mora %X We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on the boundary of U. The proof is obtained by using the calibration method. %B Commun. Contemp. Math. 4 (2002) 297-326 %I World Scientific %G en_US %U http://hdl.handle.net/1963/3050 %1 1283 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-09T14:49:33Z\\nNo. of bitstreams: 1\\n0105057v2.pdf: 321835 bytes, checksum: e085f082e744017d9dfa6a7372760af2 (MD5) %R 10.1142/S0219199702000646