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Global regularity of optimal mappings in non-convex domains

Journal Article


Abstract


  • In this paper, we establish a global regularity result for the optimal transport problem with the quadratic cost, where the domains may not be convex. This result is obtained by a perturbation argument, using a recent global regularity of optimal transportation in convex domains by the authors.

Authors


  •   Chen, Shibing (external author)
  •   Liu, Jiakun
  •   Wang, Xu-Jia (external author)

Publication Date


  • 2019

Citation


  • Chen, S., Liu, J. & Wang, X. (2019). Global regularity of optimal mappings in non-convex domains. Science China Mathematics, Online First 1-16.

Scopus Eid


  • 2-s2.0-85062600243

Number Of Pages


  • 15

Start Page


  • 1

End Page


  • 16

Volume


  • Online First

Place Of Publication


  • China

Abstract


  • In this paper, we establish a global regularity result for the optimal transport problem with the quadratic cost, where the domains may not be convex. This result is obtained by a perturbation argument, using a recent global regularity of optimal transportation in convex domains by the authors.

Authors


  •   Chen, Shibing (external author)
  •   Liu, Jiakun
  •   Wang, Xu-Jia (external author)

Publication Date


  • 2019

Citation


  • Chen, S., Liu, J. & Wang, X. (2019). Global regularity of optimal mappings in non-convex domains. Science China Mathematics, Online First 1-16.

Scopus Eid


  • 2-s2.0-85062600243

Number Of Pages


  • 15

Start Page


  • 1

End Page


  • 16

Volume


  • Online First

Place Of Publication


  • China