Multiscale homogenization of monotone operators

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September 2008, 22(3): 711-727. doi: 10.3934/dcds.2008.22.711

Multiscale homogenization of monotone operators

Dag Lukkassen ^1, , Annette Meidell ^2, and Peter Wall ^3,

1.	Narvik University College, and Norut Narvik, P.O.B. 385 N-8505 Narvik
2.	Narvik University College, P.O.B. 385 N-8505 Narvik
3.	Department of Mathematics, Luleå University, SE-97187 Luleå

Received May 2007 Revised January 2008 Published August 2008

Abstract
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In this paper we prove a generalization of the iterated homogenization theorem for monotone operators, proved by Lions et al. in [20] and [21]. Our results enable us to homogenize more realistic models of multiscale structures.

Keywords: iterated homogenization, G-convergence, monotone operators..

Mathematics Subject Classification: 35B27, 35J60, 73B2.

Citation: Dag Lukkassen, Annette Meidell, Peter Wall. Multiscale homogenization of monotone operators. Discrete & Continuous Dynamical Systems - A, 2008, 22 (3) : 711-727. doi: 10.3934/dcds.2008.22.711

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