Partial \(W^{2,p}\) regularity for optimal transport maps

DOI10.1016/j.jfa.2017.02.025zbMath1364.35058arXiv1606.05173OpenAlexW2963525501MaRDI QIDQ524255

Shibing Chen, Alessio Figalli

Publication date: 2 May 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05173

zbMATH Keywords

optimal transportationgeneral costs\(W^{2, p}\) estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96)

Related Items (5)

Error Bounds for Discretized Optimal Transport and Its Reliable Efficient Numerical Solution ⋮ The singularity set of optimal transportation maps ⋮ Global regularity of optimal mappings in non-convex domains ⋮ Global regularity for the Monge-Ampère equation with natural boundary condition ⋮ The Singularity Set of Optimal Transportation Maps

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