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An extension theorem in SBV and an application to the homogenization of the Mumford–Shah functional in perforated domains

  • Published:2011-04 Issue:4 Volume:95 Page:349-381
  • ISSN:0021-7824
  • Container-title:Journal de Mathématiques Pures et Appliquées
  • language:en
  • Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Cagnetti F.,Scardia L.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference17 articles.

1. An extension theorem from connected sets, and homogenization in general periodic domains;Acerbi;Nonlinear Anal.,1992

2. Sobolev Spaces;Adams,2003

3. Functions of Bounded Variations and Free Discontinuity Problems;Ambrosio,2000

4. Homogenization of free discontinuity problems;Braides;Arch. Ration. Mech. Anal.,1996

5. Homogenization in open sets with holes;Cioranescu;J. Math. Anal. Appl.,1979

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2. Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains;Advances in Calculus of Variations;2023-08-31

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