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.

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