Sobolev regularity for the infinite-dimensional Monge-Ampère equation (Q1761013)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Sobolev regularity for the infinite-dimensional Monge-Ampère equation |
scientific article; zbMATH DE number 6106454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sobolev regularity for the infinite-dimensional Monge-Ampère equation |
scientific article; zbMATH DE number 6106454 |
Statements
Sobolev regularity for the infinite-dimensional Monge-Ampère equation (English)
0 references
15 November 2012
0 references
The authors study regularity of solutions of the Monge-Kantorovich transport problem in infinite dimensions. Their main result states second-order Sobolev differentiability of the potential of the solution to the problem on the Wiener space, assuming boundedness of some Fisher information on the data.
0 references
Monge-Kantorovich problem
0 references
Wiener measure
0 references
optimal transport
0 references
Fisher information
0 references
entropy
0 references
