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Reiterated homogenization of monotone operators
Collège de France.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2000 (English)In: Comptes rendus de l'Académie des sciences. Série 1, Mathématique, ISSN 0764-4442, E-ISSN 1778-3577, Vol. 330, no 8, 675-680 p.Article in journal (Refereed) Published
Abstract [en]

In this Note we study reiterated homogenization of nonlinear equations of the form −div(a(x/,x/2,Du))=f, where a is periodic in the first two arguments and monotone in the third. We state that u converges weakly in W1,p(Ω) (and even in some multiscale sense), as →0, to the solution u0 of a limit problem. Moreover, we give an explicit expression for the limit problem.

Place, publisher, year, edition, pages
2000. Vol. 330, no 8, 675-680 p.
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URN: urn:nbn:se:ltu:diva-7693DOI: 10.1016/S0764-4442(00)00242-1Local ID: 619f8590-5f48-11db-8cbe-000ea68e967bOAI: diva2:980583
Validerad; 2000; 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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