Sobolev-Kantorovich Inequalities

In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasize...

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Bibliographic Details
Main Author: Ledoux Michel
Format: Article
Language:English
Published: De Gruyter 2015-07-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2015-0011