Reiterated homogenization of linear elliptic Neuman eigenvalue problems in multiscale
perforated domains is considered beyond the periodic setting. The classical periodicity
hypothesis on the coefficients of the operator is here substituted on each microscale by
an abstract hypothesis covering a large set of concrete behaviors such as the periodicity,
the almost periodicity, the weakly almost periodicity and many more besides. Furthermore,
the usual double periodicity is generalized by considering a type of structure where the
perforations on each scale follow not only the periodic distribution but also more
complicated but realistic ones. Our main tool is Nguetseng's Sigma convergence.
Publié le : 2011-01-15
Classification:
Reiterated homogenization,
ergodic algebra,
algebra with mean value,
eigenvalue problem,
multiscale perforation,
35B40,
45C05,
46J10
@article{1293054275,
author = {Douanla, Hermann and Svanstedt, Nils},
title = {Reiterated Homogenization of Linear Eigenvalue Problems in
Multiscale Perforated Domains Beyond the Periodic Setting},
journal = {Commun. Math. Anal.},
volume = {11},
number = {1},
year = {2011},
pages = { 61-93},
language = {en},
url = {http://dml.mathdoc.fr/item/1293054275}
}
Douanla, Hermann; Svanstedt, Nils. Reiterated Homogenization of Linear Eigenvalue Problems in
Multiscale Perforated Domains Beyond the Periodic Setting. Commun. Math. Anal., Tome 11 (2011) no. 1, pp. 61-93. http://gdmltest.u-ga.fr/item/1293054275/