# 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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