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arXiv:1007.4526 [math.AP]AbstractReferencesReviewsResources

A parabolic flow toward solutions of the optimal transportation problem on domains with boundary

Jun Kitagawa

Published 2010-07-26, updated 2010-12-14Version 3

We consider a parabolic version of the mass transport problem, and show that it converges to a solution of the original mass transport problem under suitable conditions on the cost function, and initial and target domains.

Comments: 32 pages, minor typos fixed, "strictly c-convex" changed to "locally, uniformly c-convex." To appear in J. Reine Angew. Math
Categories: math.AP
Subjects: 35K61, 35K96
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