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On two-scale convergence and related sequential compactness topics
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2006 (English)In: Applications of Mathematics, ISSN 0862-7940, Vol. 51, no 3, 247-262 p.Article in journal (Refereed) Published
Abstract [en]

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(Ω) 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

Place, publisher, year, edition, pages
2006. Vol. 51, no 3, 247-262 p.
Keyword [en]
Two-scale convergence, Compensated compactness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3371DOI: 10.1007/s10492-006-0014-xScopus ID: 2-s2.0-84867957751Local ID: 3353OAI: oai:DiVA.org:miun-3371DiVA: diva2:28403
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2016-12-12Bibliographically approved

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CiteExportLink to record
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