Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/340310
Type: Artigo
Title: Displacement convexity for the entropy in semi-discrete non-linear Fokker-Planck equations
Author: Carrillo, Jose A.
Juengel, Ansgar
Santos, Matheus C.
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
Subject: Entropia
Country: Reino Unido
Editor: Cambridge University Press
Rights: Fechado
Identifier DOI: 10.1017/S0956792517000389
Address: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/displacement-convexity-for-the-entropy-in-semidiscrete-nonlinear-fokkerplanck-equations/F821FE7A1CCC76C2EA653C6C4D896094
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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