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The calibration method for the Mumford-Shah functional and free-discontinuity problems

Giovanni Alberti·Guy Bouchitte'·Gianni Dal Maso
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Abstract

In this paper we present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results.

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Giovanni Alberti, Guy Bouchitte', Gianni Dal Maso. 2001-05-02. The calibration method for the Mumford-Shah functional and free-discontinuity problems. https://arxiv.org/abs/math/0105013

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