Geodesic
Alternative approaches to the two-scale convergence
Applications of Mathematics, Tome 49 (2004) no. 2, pp. 97-110.

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Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definition by Nguetseng and Allaire two alternative definitions are introduced and compared. They enable us to weaken requirements on the admissibility of test functions $\psi (x,y)$. Properties and examples are added.
DOI : 10.1023/B:APOM.0000027218.04167.9b
Classification : 35B27, 74Q05, 76M50
Keywords: two-scale convergence; weak convergence; homogenization 
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Nechvátal, Luděk. Alternative approaches to the two-scale convergence. Applications of Mathematics, Tome 49 (2004) no. 2, pp. 97-110. doi : 10.1023/B:APOM.0000027218.04167.9b. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000027218.04167.9b/

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