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math.AP2017
Stochastic Homogenisation of Free-Discontinuity Problems
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence o…
math.AP2017
Optimal regularity and structure of the free boundary for minimizers in cohesive zone models
Luis Caffarelli, Filippo Cagnetti, Alessio Figalli
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the bou…
math.AP2017
-Convergence of Free-discontinuity Problems
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
We study the -convergence of sequences of free-discontinuity functionals depending on vector-valued functions which can be discontinuous across hypersurfaces whose shape and…