Uniform Estimates in Homogenization: Compactness Methods and Applications

Prange, Christophe

Journées équations aux dérivées partielles, (2014), p. 1-25 / Harvested from Numdam

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Résumé

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.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/jedp.110

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     author = {Prange, Christophe},
     title = {Uniform Estimates in Homogenization: Compactness Methods and Applications},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2014},
     pages = {1-25},
     doi = {10.5802/jedp.110},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2014____A7_0}
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Prange, Christophe. Uniform Estimates in Homogenization: Compactness Methods and Applications. Journées équations aux dérivées partielles,  (2014), pp. 1-25. doi : 10.5802/jedp.110. http://gdmltest.u-ga.fr/item/JEDP_2014____A7_0/

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