On Regularity of Transport Density in the Monge--Kantorovich Problem

DOI10.1137/S036301290138568XzbMath1084.49036OpenAlexW1977492787MaRDI QIDQ4443028

Eugene Stepanov, Giusseppe Buttazzo

Publication date: 8 January 2004

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s036301290138568x

zbMATH Keywords

regularityMonge-Kantorovich problemtransport problemtransport density

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

Computing the cut locus of a Riemannian manifoldviaoptimal transport ⋮ Unnamed Item ⋮ Numerical solution of Monge-Kantorovich equations via a dynamic formulation ⋮ Towards a Stationary Monge--Kantorovich Dynamics: The Physarum Polycephalum Experience ⋮ Lack of regularity of the transport density in the Monge problem

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