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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa, Italy (e-mail: alberti@dm.unipi.it) , , , , , , IT

    Giovanni Alberti

  2. UFR des Sciences et Techniques, Université de Toulon et du Var, BP 132, 83957 La Garde Cedex, France (e-mail: bouchitte@univ-tln.fr) , , , , , , FR

    Guy Bouchitté

  3. S.I.S.S.A., via Beirut 4, 34014 Trieste, Italy (e-mail: dalmaso@sissa.it) , , , , , , IT

    Gianni Dal Maso

Authors
  1. Giovanni Alberti
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  2. Guy Bouchitté
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  3. Gianni Dal Maso
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Received: 29 November 2001 / Published online: 29 April 2002

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Alberti, G., Bouchitté, G. & Dal Maso, G. The calibration method for the Mumford-Shah functional and free-discontinuity problems. Calc Var 16, 299–333 (2003). https://doi.org/10.1007/s005260100152

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  • DOI: https://doi.org/10.1007/s005260100152

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