This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims to give a macroscopic approximation that takes into account the microscopic heterogeneities. This paper follows [Probab. Theory Related Fields (2009)] and improves this latter work by considering possibly degenerate diffusion matrices.
Publié le : 2009-11-15
Classification:
homogenization,
random medium,
degenerate diffusion,
locally stationary environment,
60F17
@article{1257529888,
author = {Rhodes, R\'emi},
title = {Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {45},
number = {1},
year = {2009},
pages = { 981-1001},
language = {en},
url = {http://dml.mathdoc.fr/item/1257529888}
}
Rhodes, Rémi. Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix. Ann. Inst. H. Poincaré Probab. Statist., Tome 45 (2009) no. 1, pp. 981-1001. http://gdmltest.u-ga.fr/item/1257529888/