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math.AP2021
A global method for deterministic and stochastic homogenisation in
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under \emph{linear} growth and coercivity conditions. The main novelty of o…
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…