Periodic homogenization for convex functionals using Mosco convergence - Archive ouverte HAL
Article Dans Une Revue Ricerche di matematica Année : 2008

Periodic homogenization for convex functionals using Mosco convergence

Résumé

We study the relationship between the Mosco convergence of a sequence of convex proper lower semicontinuous functionals, defined on a reflexive Banach space, and the convergence of their subdifferentiels as maximal monotone graphs. We then apply these results together with the unfolding method (see \cite{CioranescuDamlamianGriso2002}) to study the homogenization of equations of the form $-\textrm{ div }d_\varepsilon=f $, with $(\nabla u_\varepsilon(x),d_\varepsilon(x)) \in \partial \varphi_\varepsilon(x)$ where $\varphi_\varepsilon (x,.)$ is a Carathéodory convex function with suitable growth and coercivity conditions.
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Dates et versions

hal-00267473 , version 1 (27-03-2008)

Identifiants

  • HAL Id : hal-00267473 , version 1

Citer

Alain Damlamian, Nicolas Meunier, Jean van Schaftingen. Periodic homogenization for convex functionals using Mosco convergence. Ricerche di matematica, 2008, 57 (2), pp.209-249. ⟨hal-00267473⟩
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