no. 12
Mathematical analysis/Partial differential equations
Multi-marginal Monge–Kantorovich transport problems: A characterization of solutions
[Problèmes de transport multi-marginal de Monge–Kantorovich : Une caractérisation des solutions]

Présenté par : the Editorial Board

Moameni, Abbas1
1 School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada
Comptes Rendus. Mathématique, Tome 352 (2014) no. 12, pp. 993-998.

Dans cet article, nous étudions le problème de transport optimal du point de vue de la théorie de la mesure, à l'aide de la dualité de Kantorovich. En particulier, nous étudions le support des plans optimaux où la fonction coût ne satisfait pas la condition de « twist » dans le problème à deux marginales, ainsi que dans le cas multi-marginales quand la condition « twist » est limitée à des sous-ensembles précis.

We shall present a measure theoretical approach that, together with the Kantorovich duality, provides an efficient tool to study the optimal transport problem. Specifically, we study the support of optimal plans where the cost function does not satisfy the classical twist condition in the two marginal problem as well as in the multi-marginal case when twistedness is limited to certain subsets.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.10.004
Moameni, Abbas 1

1 School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada 
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Moameni, Abbas. Multi-marginal Monge–Kantorovich transport problems: A characterization of solutions. Comptes Rendus. Mathématique, Tome 352 (2014) no. 12, pp. 993-998. doi : 10.1016/j.crma.2014.10.004. http://www.numdam.org/articles/10.1016/j.crma.2014.10.004/

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