Article
| Title: | A note on connections between some concepts of convergence in homogenization theory (English) |
| Author: | Danielsson, Tatiana |
| Author: | Flodén, Liselott |
| Author: | Holmbom, Anders |
| Author: | Johnsen, Pernilla |
| Author: | Olsson Lindberg, Marianne |
| Author: | Persson, Jens |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 5 |
| Year: | 2026 |
| Pages: | 601-622 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | The notions of the classical two-scale convergence and periodic unfolding method, which both rely on an additional scale for the representation of periodic micro-oscillations, are in this paper traced back to the wider concept of general two-scale convergence. Moreover, a comparison is made between very weak two-scale convergence and periodic unfolding with respect to sequences bounded in Sobolev spaces, amplified by the scale of micro-oscillations. It turns out that, for amplified sequences, these approaches are not equivalent in an immediate sense. (English) |
| Keyword: | two-scale convergence |
| Keyword: | very weak two-scale convergence |
| Keyword: | periodic unfolding method |
| Keyword: | general two-scale convergence |
| Keyword: | homogenization theory |
| MSC: | 35B27 |
| DOI: | 10.21136/AM.2026.0121-26 |
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| Date available: | 2026-10-12T12:57:37Z |
| Last updated: | 2026-10-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153794 |
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