Kantorovich potentials and continuity of total cost for relativistic cost functions

DOI10.1016/j.matpur.2017.09.005zbMath1381.49048OpenAlexW2767743789MaRDI QIDQ1689515

Marjolaine Puel, Aldo Pratelli, Jérôme Bertrand

Publication date: 12 January 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11568/928825

zbMATH Keywords

optimal transportationrelativistic heat equationKantorovich potentialchain lemmaoptimal maprelativistic cost

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance ⋮ Anisotropic tempered diffusion equations ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ A study of the dual problem of the one-dimensional \(L^\infty\)-optimal transport problem with applications ⋮ On the existence of dual solutions for Lorentzian cost functions ⋮ A Rockafellar-type theorem for non-traditional costs

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