Volume 11, Number 1, January 2005
|Page(s)||57 - 71|
|Published online||15 December 2004|
An optimal matching problem
University of British Columbia, Vancouver BC,
V6T 1Z2 Canada. firstname.lastname@example.org
Given two measured spaces and , and a third space Z, given two functions u(x,z) and v(x,z), we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on u and v for which there is a unique solution.
Mathematics Subject Classification: 05C38 / 15A15 / 05A15 / 15A18
Key words: optimal transportation / measure-preserving maps.
© EDP Sciences, SMAI, 2005
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