| Title:
|
On two-scale convergence and related sequential compactness topics (English) |
| Author:
|
Holmbom, Anders |
| Author:
|
Silfver, Jeanette |
| Author:
|
Svanstedt, Nils |
| Author:
|
Wellander, Niklas |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
247-262 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some classes of sequences of bounded functions in $L^{2}(\Omega )$ involving no periodicity assumptions. Further, the relation to the classical notion of compensated compactness and the recent concepts of two-scale compensated compactness and unfolding is discussed and a defect measure for two-scale convergence is introduced. (English) |
| Keyword:
|
two-scale convergence |
| Keyword:
|
compensated compactness |
| Keyword:
|
two-scale transform |
| Keyword:
|
unfolding |
| MSC:
|
40A30 |
| MSC:
|
74Q05 |
| idZBL:
|
Zbl 1164.40304 |
| idMR:
|
MR2228665 |
| DOI:
|
10.1007/s10492-006-0014-x |
| . |
| Date available:
|
2009-09-22T18:25:51Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134639 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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