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

The displacement λ-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 λ is computed explicitly in terms of a priori estimates of the solution to a finite-difference approximation of a non-...

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Bibliographic Details
Main Authors: Carrillo, JA, Jüngel, A, Santos, MC
Format: Journal article
Language:English
Published: Cambridge University Press 2018

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