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Homogenization of parabolic equations: an alternative approach and some corrector type results.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.ORCID iD: 0000-0001-6742-5781
Responsible organisation
1997 (English)In: Applications of Mathematics, ISSN 0862-7940, Vol. 42, no 5, 321-343 p.Article in journal (Refereed) Published
Abstract [en]

We extend and complete some quite recent results by Nguetseng and Allaire concerning two-scale convergence. In particular, a compactness result for a certain class of parameterdependent functions is proved and applied to perform an alternative homogenization procedure for linear parabolic equations with coefficients oscillating in both their space and time variables. For different speeds of oscillation in the time variable, this results in three cases. Further, we prove some corrector-type results and benefit from some interpolation properties of Sobolev spaces to identify regularity assumptions strong enough for suck results to hold.

Place, publisher, year, edition, pages
1997. Vol. 42, no 5, 321-343 p.
Keyword [en]
Two-scale convergence, homogenization, parabolic equations, correctors
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-1085Local ID: 1260OAI: oai:DiVA.org:miun-1085DiVA: diva2:26117
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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