Inserted: 13 jun 2001
Last Updated: 6 mar 2007
Journal: Calc. Var. Partial Differential Equations
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. The preprint version (calibrMS-extended.ps) contains some examples and remarks which were not included in the published version (file calibrMS.ps).
Keywords: free discontinuity problems, special functions of bounded variation, Gradient Flow, Mumford-Shah functional, calibrations, necessary condition for minimality, minimal partitions