Two-scale convergence with respect to measures and homogenization of monotone operators
In 1989 Nguetseng introduced two-scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two-scale convergence with respect to measures. We make an exposition of the basic facts of this theory and develope it...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2005/217152 |
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| _version_ | 1850216630491021312 |
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| author | Dag Lukkassen Peter Wall |
| author_facet | Dag Lukkassen Peter Wall |
| author_sort | Dag Lukkassen |
| collection | DOAJ |
| description | In 1989 Nguetseng introduced two-scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two-scale convergence with respect to measures. We make an exposition of the basic facts of this theory and develope it in various ways. In particular, we consider both variable Lp spaces and variable Sobolev spaces. Moreover, we apply the results to a homogenization problem connected to a class of monotone operators. |
| format | Article |
| id | doaj-art-366f0a8ee14b4255bd5f2b15ebe95d35 |
| institution | OA Journals |
| issn | 0972-6802 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-366f0a8ee14b4255bd5f2b15ebe95d352025-08-20T02:08:15ZengWileyJournal of Function Spaces and Applications0972-68022005-01-013212516110.1155/2005/217152Two-scale convergence with respect to measures and homogenization of monotone operatorsDag Lukkassen0Peter Wall1Narvik University College, N-8505 Narvik, NorwayDepartment of Mathematics, Luleå University of Technology, S-971 87 Luleå, SwedenIn 1989 Nguetseng introduced two-scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two-scale convergence with respect to measures. We make an exposition of the basic facts of this theory and develope it in various ways. In particular, we consider both variable Lp spaces and variable Sobolev spaces. Moreover, we apply the results to a homogenization problem connected to a class of monotone operators.http://dx.doi.org/10.1155/2005/217152 |
| spellingShingle | Dag Lukkassen Peter Wall Two-scale convergence with respect to measures and homogenization of monotone operators Journal of Function Spaces and Applications |
| title | Two-scale convergence with respect to measures and homogenization of monotone operators |
| title_full | Two-scale convergence with respect to measures and homogenization of monotone operators |
| title_fullStr | Two-scale convergence with respect to measures and homogenization of monotone operators |
| title_full_unstemmed | Two-scale convergence with respect to measures and homogenization of monotone operators |
| title_short | Two-scale convergence with respect to measures and homogenization of monotone operators |
| title_sort | two scale convergence with respect to measures and homogenization of monotone operators |
| url | http://dx.doi.org/10.1155/2005/217152 |
| work_keys_str_mv | AT daglukkassen twoscaleconvergencewithrespecttomeasuresandhomogenizationofmonotoneoperators AT peterwall twoscaleconvergencewithrespecttomeasuresandhomogenizationofmonotoneoperators |