02147nas a2200157 4500008004100000245008700041210006900128260001000197300001200207490000700219520161800226653002801844100002001872700002501892856007201917 2015 en d00aStable regular critical points of the Mumford-Shah functional are local minimizers0 aStable regular critical points of the MumfordShah functional are bSISSA a533-5700 v323 a

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.

10aMumford-Shah functional1 aBonacini, Marco1 aMorini, Massimiliano uhttps://www.sciencedirect.com/science/article/pii/S029414491400017100408nas a2200109 4500008004100000245009600041210006900137260001000206653002800216100001800244856003600262 2001 en d00aNumerical Methods for Free-Discontinuity Problems Based on Approximations by Γ-Convergence0 aNumerical Methods for FreeDiscontinuity Problems Based on Approx bSISSA10aMumford-Shah functional1 aNegri, Matteo uhttp://hdl.handle.net/1963/5399