<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Spherical Hellinger-Kantorovich gradient flows |
Publication Date: | 2018-09-11 |
Authors: |
- Stanislav Kondratyev
- Dmitry Vorotnikov |
Abstract: | We study nonlinear degenerate parabolic equations of Fokker-Planck type which can be viewed as gradient flows with respect to the recently introduced spherical Hellinger-Kantorovich distance. The driving entropy is not assumed to be geodesically convex. We prove solvability of the problem and the entropy-entropy production inequality, which implies exponential convergence to the equilibrium. As a corollary, we obtain some related results for the Wasserstein gradient flows. We also deduce transportation inequalities in the spirit of Talagrand, Otto and Villani for the spherical and conic Hellinger-Kantorovich distances. |
Institution: | DMUC 18-31 |
Online version: | http://www.mat.uc.pt...prints/eng_2018.html |
Download: | Not available |