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A global method for deterministic and stochastic homogenisation in BV

Show simple item record Cagnetti, Filippo Dal Maso, Gianni Scardia, Lucia Zeppieri, Caterina Ida 2021-01-19T11:22:26Z 2021-01-19T11:22:26Z 2021-01-19
dc.description 52 pages en_US
dc.description.abstract In this paper we study the deterministic and stochastic homogenisation of free discontinuity functionals under linear growth and coercivity conditions. The main novelty of our deterministic result is that we work under very general assumptions on the integrands which, in particular, are not required to be periodic in the space variable. Combining this result with the pointwise Subadditive Ergodic Theorem by Akcoglu and Krengel, we prove a stochastic homogenisation result, in the case of stationary random integrands. In particular, we characterise the limit integrands in terms of asymptotic cell formulas, as in the classical case of periodic homogenisation. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;04/2021/MATE
dc.subject Free-discontinuity problems en_US
dc.subject Gamma-convergence, stochastic homogenisation en_US
dc.subject blow-up method en_US
dc.title A global method for deterministic and stochastic homogenisation in BV en_US
dc.type Preprint en_US
dc.contributor.area mathematics en_US

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