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Links between Young measures associated to constrained sequences

Published online by Cambridge University Press:  15 August 2002

Anca-Maria Toader
Anca-Maria Toader*
Affiliation:
Faculdade de Ciências, CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal; amtan@lmc.fc.ul.pt.
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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.

Keywords

Young measuresrearrangementsdoubly stochastic operators.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 5 , 2000 , pp. 579 - 590
Copyright
© EDP Sciences, SMAI, 2000

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