On the  Well‐Posedness  of Branched Transportation | Zendy

Colombo Maria | Zendy; De Rosa Antonio | Zendy; Marchese Andrea | Zendy

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On the Well‐Posedness of Branched Transportation

Author(s) -

Colombo Maria,

De Rosa Antonio,

Marchese Andrea

Publication year - 2021

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.21919

Subject(s) - generality , limit (mathematics) , stability (learning theory) , mathematics , mathematical optimization , computer science , mathematical analysis , psychotherapist , psychology , machine learning

We show in full generality the stability of optimal transport paths in branched transport: namely, we prove that any limit of optimal transport 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. © 2020 Wiley Periodicals LLC

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