| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8898165 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2017 | 14 Pages |
Abstract
In this work, we provide stability estimates for the continuity equation with Sobolev vector fields. The results are inferred from contraction estimates for certain logarithmic Kantorovich-Rubinstein distances. As a by-product, we obtain a new proof of uniqueness in the DiPerna-Lions setting. The novelty in the proof lies in the fact that it is not based on the theory of renormalized solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Christian Seis,