Open AccessUniform Estimates in Homogenization: Compactness Methods and Applications
Author(s) -
Christophe Prange
Publication year - 2014
Publication title -
journées équations aux dérivées partielles
Language(s) - English
Resource type - Journals
eISSN - 2118-9366
pISSN - 0752-0360
DOI - 10.5802/jedp.110
Subject(s) - homogenization (climate) , pointwise , compact space , mathematics , mathematical analysis , biodiversity , ecology , biology
The purpose of this note is to explain how to use compactness to get uniform estimates in the homogenization of elliptic systems with or without oscillating boundary. Along with new results in this direction, we highlight some important applications to pointwise estimates of Green and Poisson kernels, to the homogenization of boundary layer systems and to the boundary control of composite materials.
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