Stochastic homogenization of degenerate integral functionals with linear growth

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  • who: Matthias Ruf from the Section de Mathu00e9matiques, Ecole Polytechnique Fu00e9du00e9rale de Lausanne, Station, Lausanne, Switzerland have published the Article: Stochastic homogenization of degenerate integral functionals with linear growth, in the Journal: (JOURNAL)
  • what: Under minimal assumptions on the integrand and on the weight-functions the authors show that the sequence of functionals homogenizes to a non-degenerate deterministic functional defined on BV. Namely, in Remark 3.3 the authors show that in general the upper bound in_(1.13) implies the finite first moment condition | (u00b7, 0)| u2208 L 1 , while the bound from . . .

     

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