Homogenization of some nonlinear problems in quasistratified media

Authors
Courilleau, P Fabre, S Mossing, J
Citation
P. Courilleau et al., Homogenization of some nonlinear problems in quasistratified media, CR AC S I, 328(5), 1999, pp. 401-406
Citations number
5
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
5
Year of publication
1999
Pages
401 - 406
Database
ISI
SICI code
0764-4442(199903)328:5<401:HOSNPI>2.0.ZU;2-2
Abstract
This Note deals with the homogenization of some nonlinear problems. The aim is to characterize the weak limit of solutions of a particular nonlinear t ype of equations such that - div(Q(epsilon) G(x, N-epsilon del u(epsilon))) = f(epsilon), where the matrices Q(epsilon) and (N-epsilon)(-1) have speci fic dependence on coordinates. Under suitable assumptions, we pi-eve that t he weak limit also satisfies an equation of such type. (C) Academie des Sci ences/Elsevier, Paris.