Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
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 Σ-convergence. A general deterministic homoge...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/102486 |
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| _version_ | 1832562954152706048 |
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| author | Dag Lukkassen Gabriel Nguetseng Hubert Nnang Peter Wall |
| author_facet | Dag Lukkassen Gabriel Nguetseng Hubert Nnang Peter Wall |
| author_sort | Dag Lukkassen |
| collection | DOAJ |
| description | 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 Σ-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. |
| format | Article |
| id | doaj-art-70d59b83a39c46edb0828f2ed3487004 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-70d59b83a39c46edb0828f2ed34870042025-02-03T01:21:18ZengWileyJournal of Function Spaces and Applications0972-68022009-01-017212115210.1155/2009/102486Reiterated homogenization of nonlinear monotone operators in a general deterministic settingDag Lukkassen0Gabriel Nguetseng1Hubert Nnang2Peter Wall3Narvik University College, P.O. Box 385, N-8505 Narvik, NorwayDepartment of Mathematics, University of Yaounde I, P.O. Box 812 Yaounde, CameroonUniversity of Yaounde I, Ecole Normale Supérieure, P.O. Box 47 Yaounde, CameroonDepartment pf Mathematics, Luleå Technological University, S-97187 Luleå, SwedenWe 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 Σ-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.http://dx.doi.org/10.1155/2009/102486 |
| spellingShingle | Dag Lukkassen Gabriel Nguetseng Hubert Nnang Peter Wall Reiterated homogenization of nonlinear monotone operators in a general deterministic setting Journal of Function Spaces and Applications |
| title | Reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| title_full | Reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| title_fullStr | Reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| title_full_unstemmed | Reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| title_short | Reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| title_sort | reiterated homogenization of nonlinear monotone operators in a general deterministic setting |
| url | http://dx.doi.org/10.1155/2009/102486 |
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