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arXiv · 1001.3434

Homogenization of maximal monotone vector fields via selfdual variational calculus

Nassif Ghoussoub·Abbas Moameni·Ramon Zarate Saiz
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Abstract

We use the theory of selfdual Lagrangians to give a variational approach to the homogenization of equations in divergence form, that are driven by a periodic family of maximal monotone vector fields. The approach has the advantage of using $Γ$-convergence methods for corresponding functionals just as in the classical case of convex potentials, as opposed to the graph convergence methods used in the absence of potentials. A new variational formulation for the homogenized equation is also given.

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Nassif Ghoussoub, Abbas Moameni, Ramon Zarate Saiz. 2010-01-20. Homogenization of maximal monotone vector fields via selfdual variational calculus. https://arxiv.org/abs/1001.3434

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