A characterization for solutions of the Monge-Kantorovich mass transport problem

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作者
Abbas Moameni
机构
[1] Carleton University,School of Mathematics and Statistics
来源
Mathematische Annalen | 2016年 / 365卷
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摘要
A measure theoretical approach is presented to study the solutions of the Monge-Kantorovich optimal mass transport problems. This approach together with Kantorovich duality provide an effective tool to answer a long standing question about the support of optimal plans for the mass transport problem involving general cost functions. We also establish a criterion for the uniqueness.
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页码:1279 / 1304
页数:25
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