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Zbl 1156.35314
Lukkassen, Dag; Meidell, Annette; Wall, Peter
Multiscale homogenization of monotone operators. (English)
[J] Discrete Contin. Dyn. Syst. 22, No. 3, 711-727 (2008). ISSN 1078-0947; ISSN 1553-5231/e

Summary: We prove a generalization of the iterated homogenization theorem for monotone operators, proved by {\it J.-L.Lions, D. Lukkassen, L.-E. Persson} and {\it P. Wall} [C. R. Acad. Sci., Paris, Sér. I, Math. 330, No.~8, 675--680 (2000; Zbl 0953.35041); Chin. Ann. Math., Ser. B 22, No.~1, 1--12 (2001; Zbl 0979.35047)]. Our results enable us to homogenize more realistic models of multiscale structures.

MSC 2000:: *35B27 Homogenization, etc.
35J60 Nonlinear elliptic equations
74Q15 Effective constitutive equations
47H05 Monotone operators (with respect to duality)

Keywords: G-convergence; iterated homogenization

Citations: Zbl 0953.35041; Zbl 0979.35047

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