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- W766364643 abstract "We study the Kantorovich-Rubinstein transhipment problem when the difference between the source and the target is not anymore a balanced measure but belongs to a suitable subspace X() of first order distribution. A particular subclass X ♯() of such distributions will be considered which includes the infinite sums of dipoles P k (�pk − �nk) studied in (28, 29). In spite of this weakened regularity, it is shown that an optimal transport density still exists among nonnegative finite measures. Some geometric properties of the Banach spaces X() and X ♯ () can be then deduced." @default.
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- W766364643 date "2010-01-01" @default.
- W766364643 modified "2023-10-16" @default.
- W766364643 title "The Monge-Kantorovich problem for distributions and applications" @default.
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