Annals of Functional Analysis

Detection of scales of heterogeneity ‎and parabolic homogenization applying ‎very weak multiscale convergence

Liselott‎ Flodén, Anders Holmbom, ‎Marianne Olsson Lindberg, and Jens Persson

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Abstract

‎We apply a new version of multiscale convergence named very weak multiscale‎ ‎convergence to find possible frequencies of oscillation in an unknown‎ ‎coefficient of a partial differential equation from its solution‎. ‎We also‎ ‎use this notion to study homogenization of a certain linear parabolic‎ ‎problem with multiple spatial and temporal scales‎.

Article information

Source
Ann. Funct. Anal., Volume 2, Number 1 (2011), 84-99.

Dates
First available in Project Euclid: 12 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1399900264

Digital Object Identifier
doi:10.15352/afa/1399900264

Mathematical Reviews number (MathSciNet)
MR2811209

Zentralblatt MATH identifier
1232.35016

Subjects
Primary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50]
Secondary: 35K10‎ ‎46B50

Keywords
Homogenization‎ parabolic‎ two-scale convergence ‎multiscale‎ ‎convergence very weak multiscale convergence

Citation

Flodén, Liselott‎; Holmbom, Anders; Olsson Lindberg, ‎Marianne; Persson, Jens. Detection of scales of heterogeneity ‎and parabolic homogenization applying ‎very weak multiscale convergence. Ann. Funct. Anal. 2 (2011), no. 1, 84--99. doi:10.15352/afa/1399900264. https://projecteuclid.org/euclid.afa/1399900264


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