Calculus of Variations and Geometric Measure Theory
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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 on 28 Mar 2020

[BibTeX]

Submitted Paper

Inserted: 18 mar 2020
Last Updated: 28 mar 2020

Year: 2020

ArXiv: 2003.11793 PDF

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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