Multiscale homogenization of monotone operators

Pages: 711 - 727, Volume 22, Issue 3, November 2008

doi:10.3934/dcds.2008.22.711       Abstract        Full Text (302.4K)       Related Articles

Dag Lukkassen - Narvik University College, and Norut Narvik, P.O.B. 385 N-8505 Narvik, Norway (email)
Annette Meidell - Narvik University College, P.O.B. 385 N-8505 Narvik, Norway (email)
Peter Wall - Department of Mathematics, Luleå University, SE-97187 Luleå, Sweden (email)

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.

Keywords:  G-convergence, iterated homogenization, monotone operators.
Mathematics Subject Classification:  35B27, 35J60, 73B27.

Received: May 2007;      Revised: January 2008;      Published: August 2008.