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dc.contributor.authorPettersson, Irina
dc.date.accessioned2018-03-08T08:36:01Z
dc.date.available2018-03-08T08:36:01Z
dc.date.issued2017
dc.description.abstractThe aim of this paper is to adapt the notion of two-scale convergence in Lp to the case of a measure converging to a singular one. We present a specific case when a thin cylinder with locally periodic rapidly oscillating boundary shrinks to a segment, and the corresponding measure charging the cylinder converges to a one-dimensional Lebegues measure of an interval. Themethod is then applied to the asymptotic analysis of linear elliptic operators with locally periodic coefficients andap-Laplacian stated inthincylinders withlocally periodic rapidly varying thickness.en_US
dc.descriptionOA Policy: <a href=http://dea.ele-math.com/open-access>http://dea.ele-math.com/open-access</a> Link to publishers version: <a href=http://doi.org/10.7153/dea-2017-09-28>http://doi.org/10.7153/dea-2017-09-28</a>en_US
dc.identifier.citationPettersson I. Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary. Differential Equations & Applications. 2017;9(3):393-412en_US
dc.identifier.cristinIDFRIDAID 1530720
dc.identifier.doi10.7153/dea-2017-09-28
dc.identifier.issn1847-120X
dc.identifier.urihttps://hdl.handle.net/10037/12277
dc.language.isoengen_US
dc.publisherEle-Mathen_US
dc.relation.journalDifferential Equations & Applications
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400en_US
dc.titleTwo-scale convergence in thin domains with locally periodic rapidly oscillating boundaryen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelno
dc.typePeer revieweden_US


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