Links between Young measures associated to constrained sequences
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 5, page 579-590
- ISSN: 1292-8119
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topToader, Anca-Maria. "Links between Young measures associated to constrained sequences." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 579-590. <http://eudml.org/doc/197379>.
@article{Toader2010,
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.
},
author = {Toader, Anca-Maria},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Young measures; rearrangements; doubly stochastic operators.; homogenization},
language = {eng},
month = {3},
pages = {579-590},
publisher = {EDP Sciences},
title = {Links between Young measures associated to constrained sequences},
url = {http://eudml.org/doc/197379},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Toader, Anca-Maria
TI - Links between Young measures associated to constrained sequences
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 579
EP - 590
AB -
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.
LA - eng
KW - Young measures; rearrangements; doubly stochastic operators.; homogenization
UR - http://eudml.org/doc/197379
ER -
References
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