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Publication 14-CNA-004
A Note on Two Scale Compactness for $p=1$ Laura Bufford Irene Fonseca Abstract: In this paper the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire is extended to the case of bounded sequences in $L^1(\Omega)$, where $\Omega$ is any open subset of $ \mathbb{R}^N$. Three diff erent approaches will be considered: an adaptation of the method used in $L^p(\Omega)$ with $p > 1$, a measure-theoretic argument, and the periodic unfolding technique. Keywords: two-scale convergence, periodic integrals. Get the paper in its entirety as |
