On Young Measures Controlling Discontinuous Functions
Journal of convex analysis, Tome 13 (2006) no. 1, pp. 177-192
Voir la notice de l'article provenant de la source Heldermann Verlag
We obtain a version of Young's Theorem, where Young-like measures can control discontinuous functions. It determines the weak limit of $\{ f(u^{\nu})\}$ where $f$ is a (possibly) discontinuous scalar function, while $\{u^{\nu}\}$ is a sequence of measurable functions which satisfies tightness condition.
Classification :
49J10, 49J45
Mots-clés : Young measures, weak convergence, discontinuous functions
Mots-clés : Young measures, weak convergence, discontinuous functions
@article{JCA_2006_13_1_JCA_2006_13_1_a11,
author = {A. Kalamajska},
title = {On {Young} {Measures} {Controlling} {Discontinuous} {Functions}},
journal = {Journal of convex analysis},
pages = {177--192},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a11/}
}
A. Kalamajska. On Young Measures Controlling Discontinuous Functions. Journal of convex analysis, Tome 13 (2006) no. 1, pp. 177-192. http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a11/