research article
On the Well-Posedness of Branched Transportation
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. (c) 2020 Wiley Periodicals LLC
Type
research article
Web of Science ID
WOS:000537201300001
Author(s)
Date Issued
2021
Published in
Volume
74
Issue
4
Start page
833
End page
864
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
June 14, 2020
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