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Reiterated homogeni...
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
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- Lukkassen, Dag (author)
- Narvik University College, P.O. Box 385, N-8505 Narvik, Norway;Norut Narvik, P.O. Box 250, N-8504 Narvik, Norway
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- Nguetseng, Gabriel (author)
- Department of Mathematics, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon
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- Nnang, Hubert (author)
- University of Yaounde I, Ecole Normale Supérieure, P.O. Box 47 Yaounde, Cameroon
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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Narvik University College, PO. Box 385, N-8505 Narvik, Norway;Norut Narvik, P.O. Box 250, N-8504 Narvik, Norway Department of Mathematics, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon (creator_code:org_t)
- Hindawi Limited, 2009
- 2009
- English.
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In: Journal of Function Spaces and Applications. - : Hindawi Limited. - 0972-6802 .- 1758-4965. ; 7:2, s. 121-152
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Abstract
Subject headings
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- We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated ∑-convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- homogenization structures
- Reiterated homogenization
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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