# Homogenization of forward-backward parabolic equations

created on 16 Jul 2003
modified by amar on 04 Mar 2005

[BibTeX]

Published Paper

Inserted: 16 jul 2003
Last Updated: 4 mar 2005

Journal: Asymptotic Analysis
Volume: 42
Number: 1,2
Pages: 123-132
Year: 2005

Abstract:

We study the homogenization of the equation $$R(\epsilon{-1}x){\partial u{\epsilon} \over\partial t}-\Delta u{\epsilon} = f\ ,$$ where $R$ is a periodic function which may vanish or change sign, with appropriate initialfinal conditions. The main tool is a compactness result for sequences of functions which have bounded norms in the spaces associated to the problems.