Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix
Rémi Rhodes (2009)
Annales de l'I.H.P. Probabilités et statistiques
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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 [ (2009)] and improves this latter work by considering possibly...