Boundary regularity of optimal transport paths

DOI10.1515/ACV.2010.024zbMath1216.49040arXiv0807.3723OpenAlexW1978501972MaRDI QIDQ2999540

Qinglan Xia

Publication date: 13 May 2011

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3723

zbMATH Keywords

optimal transportationboundary regularityrectifiable currentbranching networktransport path

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Variational problems in a geometric measure-theoretic setting (49Q20) Optimal stochastic control (93E20) Regularity of solutions in optimal control (49N60)

Related Items (9)

Ramified Optimal Transportation with Payoff on the Boundary ⋮ The geodesic problem in quasimetric spaces ⋮ On landscape functions associated with transport paths ⋮ Generic uniqueness of optimal transportation networks ⋮ Improved stability of optimal traffic paths ⋮ The formation of a tree leaf ⋮ A mass reducing flow for real-valued flat chains with applications to transport networks ⋮ Stability for the mailing problem ⋮ A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents

Cites Work

• The geodesic problem in quasimetric spaces
• Optimal transportation networks as flat chains
• Path functionals over Wasserstein spaces
• The geometry of optimal transportation
• Interior regularity of optimal transport paths
• Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs
• On the Transport Dimension of Measures
• The formation of a tree leaf
• OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS

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