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Stability of optimal traffic plans in the irrigation problem

2020/03/26 by Colombo, Maria, de Rosa, Antonio, Marchese, Andrea +2
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2003.11793

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 [CDM19a].

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