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

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

2010-07-26

arxiv.org/abs/1007.4526v3

Mathematics

Analysis of PDEs

32 pages, minor typos fixed, "strictly c-convex" changed to "locally, uniformly c-convex." To appear in J. Reine Angew. Math

Scientific paper

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.

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