Multiscale homogenization of monotone operators

Dag Lukkassen; Annette Meidell; Peter Wall

doi:10.3934/dcds.2008.22.711

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2008, Volume 22, Issue 3: 711-727. Doi: 10.3934/dcds.2008.22.711

This issue Previous Article Convergence to self-similar solutions for a semilinear parabolic equation Next Article A continuous Bowen-Mane type phenomenon

Multiscale homogenization of monotone operators

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: April 30, 2007

Revised: December 31, 2007

Published: August 2008

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Abstract

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.

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

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