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

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Abstract.

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.

Received: 29 November 2001 / Published online: 29 April 2002