Optimal transport with convex obstacle
Cardaliaguet, Pierre; Jimenez, Chloé (2011), Optimal transport with convex obstacle, Journal of Mathematical Analysis and Applications, 381, 1, p. 43-63. http://dx.doi.org/10.1016/j.jmaa.2011.04.007
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Analysis and Applications
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Abstract (EN)We consider the Monge transportation problem when the cost is the squared geodesic distance around a convex obstacle. We show that there exists at least one—and in general infinitely many—optimal transport maps.
Subjects / KeywordsMonge transport problem; Dynamic formulation; Convex obstacle
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