Calculus of Variations and Geometric Measure Theory

M. Colombo - A. De Rosa - A. Marchese - P. Pegon - A. Prouff

Stability of optimal traffic plans in the irrigation problem

created by derosa on 18 Mar 2020
modified by pegon on 09 Apr 2024

[BibTeX]

Published Paper

Inserted: 18 mar 2020
Last Updated: 9 apr 2024

Journal: Discrete and Continuous Dynamical Systems
Volume: 2
Number: 4
Pages: 1647-1667
Year: 2022
Doi: 10.3934/dcds.2021167

ArXiv: 2003.11793 PDF
Links: HAL repository

Abstract:

We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in (Comm. Pure Appl. Math, 2019).


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