Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance

Autor: Yinfang Shen
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