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Reiterated homogenization of nonlinear monotone operators
Coolège de France.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2001 (English)In: Chinese Annals of Mathematics. Series B, ISSN 0252-9599, E-ISSN 1860-6261, Vol. 22B, no 1, 1-12 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, the authors study reiterated homogenization of nonlinear equations of the form -div(a(x, x/ε, x/ε2,Duε)) = f, where a is periodic in the first two arguments and monotone in the third. It is proved that uε converges weakly in W1,p(Ω) (and even in some multiscale sense), as ε → 0 to the solution u0 of a limit problem. Moreover, an explicit expression for the limit problem is given. The main results were also stated in [15]. This article presents the complete proofs of these results

Place, publisher, year, edition, pages
2001. Vol. 22B, no 1, 1-12 p.
Research subject
URN: urn:nbn:se:ltu:diva-13881Local ID: d30da950-5f4d-11db-8cbe-000ea68e967bOAI: diva2:986834
Validerad; 2001; 20061019 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Lukkassen, DagPersson, Lars-ErikWall, Peter
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