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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations

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Author(s):
Carrillo, Jose A. [1] ; Juengel, Ansgar [2] ; Santos, Matheus C. [3]
Total Authors: 3
Affiliation:
[1] Imperial Coll London, Dept Math, London SW7 2AZ - England
[2] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna - Austria
[3] Univ Estadual Campinas, IMECC, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: EUROPEAN JOURNAL OF APPLIED MATHEMATICS; v. 30, n. 6, SI, p. 1103-1122, DEC 2019.
Web of Science Citations: 1
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 type: Scholarships abroad - Research Internship - Post-doctor