TY - JOUR T1 - Stable regular critical points of the Mumford-Shah functional are local minimizers JF - Annales de l'Institut Henri Poincare (C) Non Linear Analysis Y1 - 2015 A1 - Marco Bonacini A1 - Massimiliano Morini KW - Mumford-Shah functional AB -

In this paper it is shown that any regular critical point of the Mumford–Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the $L^1$
-topology. A global minimality result in small tubular neighborhoods of the discontinuity set is also established.

PB - SISSA VL - 32 UR - https://www.sciencedirect.com/science/article/pii/S0294144914000171 IS - 3 U1 - 6992 U2 - Mathematics U4 - 1 U5 - MAT/05 ANALISI MATEMATICA ER -