| Full text | |
| Author(s): |
Carrillo, Jose A.
;
Juengel, Ansgar
;
Santos, Matheus C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | EUROPEAN JOURNAL OF APPLIED MATHEMATICS; v. 30, n. 6, p. 20-pg., 2019-12-01. |
| Abstract | |
The displacement lambda-convexity of a non-standard entropy with respect to a non-local transportation metric in finite state spaces is shown using a gradient flow approach. The constant lambda is computed explicitly in terms of a priori estimates of the solution to a finite-difference approximation of a non-linear Fokker-Planck equation. The key idea is to employ a new mean function, which defines the Onsager operator in the gradient flow formulation. (AU) | |
| FAPESP's process: | 15/20962-7 - Optimal Transport Methods in Partial Differential Equation |
| Grantee: | Matheus Correia dos Santos |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |