315 citations · 337 across the 12 of their papers we have counts for
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math.AP2001★ 3 cited
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…
math.AP2001★ 315 cited
A model for the quasi-static growth of brittle fractures: existence and approximation results
Gianni Dal Maso, Rodica Toader
We give a precise mathematical formulation of a variational model for the irreversible quasi-static evolution of brittle fractures proposed by G.A. Francfort and J.-J. Marigo, and…