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

Jun Kitagawa

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arXiv · 1007.4526

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

Jun Kitagawa

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Abstract

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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Jun Kitagawa. 2010-07-26. A parabolic flow toward solutions of the optimal transportation problem on domains with boundary. https://arxiv.org/abs/1007.4526

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