|
|||||
|
|
Optimal transport with convex obstacle |
|
| Authors: | Pierre Cardaliaguet |
| Institution: | a Université de Brest, Laboratoire de Mathématiques, UMR 6205, 6 Av. Le Gorgeu, BP 809, 29238 Brest cedex 3, France b Université Paris Dauphine, CEREMADE, Place du Maréchal De Lattre De Tassigny, 75775 Paris cedex 16, France |
| Abstract: | We consider the Monge transportation problem when the cost is the squared geodesic distance around a convex obstacle. We show that there exists at least one—and in general infinitely many—optimal transport maps. |
| Keywords: | Monge transport problem Dynamic formulation Convex obstacle |
| 本文献已被 ScienceDirect 等数据库收录！ | |