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,
Wien,
2016,
ISBN: 978-3-902627-09-4,
1
- 18.
English abstract:
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.
Keywords:
Entropy, displacement convexity, logarithmic mean, finite differences, fast-diffusion equation
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2016/asc26x2016.pdf
Created from the Publication Database of the Vienna University of Technology.