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

Abstract 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.

• Publication year

  2013

• Venue

  Annales De L Institut Henri Poincare-analyse Non Lineaire

• Publication date

  2013-07-25

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1016/J.ANIHPC.2014.01.006arXiv 1307.6730
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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