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Showing 2004 · math.APShow all
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math.AP2004
On a notion of unilateral slope for the Mumford-Shah functional
Gianni Dal Maso, Rodica Toader
In this paper we introduce a notion of unilateral slope for the Mumford-Shah functional, and provide an explicit formula in the case of smooth cracks. We show that the slope is not…
math.AP2004★ 7 cited
Quasi-static evolution in brittle fracture: the case of bounded solutions
Gianni Dal Maso, Gilles A. Francfort, Rodica Toader
The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex…