Homogenization of maximal monotone vector fields via selfdual variational calculus

Details Homogenization of maximal monotone vector fields via selfdual variational calculus Homogenization of maximal monotone vector fields via selfdual variational calculus

2010-01-20

arxiv.org/abs/1001.3434v1

Mathematics

Analysis of PDEs

30 pages. Updated versions - if any - can be downloaded at http://www.birs.ca/~nassif/

Scientific paper

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 $\Gamma$-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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