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arXiv · 1904.03683

On the well-posedness of branched transportation

Maria Colombo·Antonio De Rosa·Andrea Marchese
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Abstract

We show in full generality the stability of optimal traffic paths in branched transport: namely we prove that any limit of optimal traffic paths is optimal as well. This solves an open problem in the field (cf. Open problem 1 in the book Optimal transportation networks, by Bernot, Caselles and Morel), which has been addressed up to now only under restrictive assumptions.

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Maria Colombo, Antonio De Rosa, Andrea Marchese. 2019-04-07. On the well-posedness of branched transportation. https://arxiv.org/abs/1904.03683

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