Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance
Autor: | Yinfang Shen |
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Rok vydání: | 2011 |
Předmět: | |
Zdroj: | Journal of Mathematics Research. 3 |
ISSN: | 1916-9809 1916-9795 |
DOI: | 10.5539/jmr.v3n4p3 |
Popis: | We achieve that the optimal solutions according to Kantorovich-Rubinstein-Wasserstein Lp-distance (p > 2) (abbreviation: KRW Lp-distance) in a bounded region of Euclidean plane satisfy a partial differential equation. We can also obtain the similar results about Monge-Kantorovich problem with more general convex cost functions. |
Databáze: | OpenAIRE |
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