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math.AP2005
Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
Gianni Dal Maso, Adriana Garroni
In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local min…
math.AP2001
The calibration method for the Mumford-Shah functional and free-discontinuity problems
Giovanni Alberti, Guy Bouchitte', Gianni Dal Maso
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 te…