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arxiv: 1307.6730 · v1 · pith:UCT6TM3Fnew · submitted 2013-07-25 · 🧮 math.AP

Stable regular critical points of the Mumford-Shah functional are local minimizers

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keywords criticalfunctionallocalmumford-shahregularclosecompetitorsdefinite
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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.

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