Optimal Couplings of Kantorovich-Rubinstein-Wasserstein Lp-distance
- Yinfang Shen
Abstract
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.
- Full Text:
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- DOI:10.5539/jmr.v3n4p3
This work is licensed under a Creative Commons Attribution 4.0 License.
- ISSN(Print): 1916-9795
- ISSN(Online): 1916-9809
- Started: 2009
- Frequency: bimonthly
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