Contributions to Books:
J. Carrillo, A. Jüngel, M. Santos:
"Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations";
in: "ASC Report 26/2016",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
The displacement λ-convexity of a nonstandard entropy with respect to a nonlocal transportation metric in ﬁnite state spaces is shown using a gradient ﬂow ap-proach. The constant λ is computed explicitly in terms of a priori estimates of the solution to a ﬁnite-diﬀerence approximation of a nonlinear Fokker-Planck equation. The key idea is to employ a new mean function, which deﬁnes the Onsager operator in the gradient ﬂow formulation.
Entropy, displacement convexity, logarithmic mean, ﬁnite diﬀerences, fast-diffusion equation
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.