%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