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Reiterated homogeneization of monotone parabolic problems
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
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.ORCID iD: 0000-0003-2942-6841
Responsible organisation
2007 (English)In: Annali dell'Universita di Ferrara, ISSN 0430-3202, Vol. 53, no 2, 217-232 p.Article in journal (Refereed) Published
Abstract [en]

Reiterated homogenization is studied for divergence structure parabolic problems of the form ∂uε ∂t − div a x ε , x ε2 , t, Duε = f . It is shown that under standard assumptions on the function a (y1, y2, t, ξ) the sequence {uε} of solutions converges weakly in L p(0, T ;W1,p 0 (Ω)) to the solution u of the homogenized problem ∂u ∂t − div (b (t, Du)) = f

Place, publisher, year, edition, pages
2007. Vol. 53, no 2, 217-232 p.
Keyword [en]
G-convergence, reiterated homogenization, parabolic equations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3767DOI: 10.1007/s11565-007-0014-0Local ID: 4060OAI: oai:DiVA.org:miun-3767DiVA: diva2:28799
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2016-12-12Bibliographically approved

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Flodén, LiselottHolmbom, AndersOlsson, Marianne
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