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Links between Young measures associated to constrained sequences
Published online by Cambridge University Press: 15 August 2002
Abstract
We give necessary and sufficient conditions
which characterize the Young measures associated to
two oscillating sequences of functions, un on $\omega_1\times \omega_2$ and
vn on $\omega_2$
satisfying the constraint $v_n(y)=\frac{1}{|\omega_1|}
\int_{\omega_1} u_n (x, y) dx$
. Our study is motivated by
nonlinear effects induced by homogenization. Techniques based on
equimeasurability and rearrangements are employed.
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- Research Article
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- © EDP Sciences, SMAI, 2000
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