| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1896411 | Physica D: Nonlinear Phenomena | 2010 | 7 Pages |
Abstract
This is a short survey paper on the application of Monge's theory of optimal mass transportation to evolution problems of a gradient type, in the case when the natural state space is the space of probability measures. This occurs for instance for Fokker-Planck equations, and optimal mass transportation methods provide, in this setting, very general existence and stability results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Luigi Ambrosio,