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Regularity of boundary data in periodic homogenization of elliptic systems in layered media
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- Aleksanyan, Hayk, 1987- (author)
- KTH,Matematik (Avd.),The University of Edinburgh, UK
- KTH Matematik (Avd) (creator_code:org_t)
- 2016-12-21
- 2017
- English.
- In: Manuscripta mathematica. - : Springer-Verlag New York. - 0025-2611 .- 1432-1785. ; 154:1-2, s. 225-256
- Journal article (peer-reviewed)
Abstract
Subject headings
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- In this note we study periodic homogenization of Dirichlet problem for divergence type elliptic systems when both the coefficients and the boundary data are oscillating. One of the key difficulties here is the determination of the fixed boundary data corresponding to the limiting (homogenized) problem. This issue has been addressed in recent papers by Gérard-Varet and Masmoudi (Acta Math. 209:133–178, 2012), and by Prange (SIAM J. Math. Anal. 45(1):345–387, 2012), however, not much is known about the regularity of this fixed data. The main objective of this note is to initiate a study of this problem, and to prove several regularity results in this connection.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- periodic homogenization
- elliptic system
- boundary data
- regularity
- Mathematics
- Matematik
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- ref (subject category)
- art (subject category)
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