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Title: On some iterated means arising in homogenization theory (English)
Author: Lukkassen, Dag
Author: Peetre, Jaak
Author: Persson, Lars-Erik
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 49
Issue: 4
Year: 2004
Pages: 343-356
Summary lang: English
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Category: math
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Summary: We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory. (English)
Keyword: iterations
Keyword: means
Keyword: homogenization theory
MSC: 26A18
MSC: 26D99
MSC: 26E60
MSC: 35M20
idZBL: Zbl 1099.26002
idMR: MR2076489
DOI: 10.1007/s10492-004-6403-0
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Date available: 2009-09-22T18:18:29Z
Last updated: 2020-07-02
Stable URL: http://hdl.handle.net/10338.dmlcz/134572
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Reference: [13] J.-L.  Lions, D.  Lukkassen, L.-E.  Persson, and P.  Wall: Reiterated homogenization of nonlinear monotone operators.Chinese Ann. Math. Ser.  B 22 (2001), 1–12. MR 1823125, 10.1142/S0252959901000024
Reference: [14] D.  Lukkassen: Formulæ and bounds connected to homogenization and optimal design of partial differential operators and integral functionals.PhD thesis (ISBN: 82-90487-87-8), University of Tromsø, 1996.
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