Journal article
Improved regularity estimates for Lagrangian flows on RCD(K, N) spaces
- Abstract:
- This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existing literature are the better behaviour with respect to time and the local nature of the regularity estimates. These are obtained by sharpening previous results of the first and third authors, in combination with some tools recently developed by the second author (adapting to the synthetic framework ideas introduced in Colding and Naber (2012)). The estimates are suitable for applications to the fine study of RCD spaces and play a central role in the construction of a parallel transport in this setting.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 641.7KB, Terms of use)
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- Publisher copy:
- 10.1016/j.na.2021.112609
Authors
- Publisher:
- Elsevier
- Journal:
- Nonlinear Analysis: Theory Methods and Applications More from this journal
- Volume:
- 214
- Article number:
- 112609
- Publication date:
- 2021-10-08
- Acceptance date:
- 2021-09-17
- DOI:
- ISSN:
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0362-546X
- Language:
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English
- Keywords:
- Pubs id:
-
1194167
- Local pid:
-
pubs:1194167
- Deposit date:
-
2021-09-17
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2021
- Rights statement:
- © 2021 Elsevier Ltd. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.na.2021.112609
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