- Abstract:
- A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale C1,α -regularity estimate for caloric functions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 790.7KB)
-
- Publisher copy:
- 10.1007/s00440-018-0843-z
-
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- Publisher:
- Springer Publisher's website
- Journal:
- Probability Theory and Related Fields Journal website
- Volume:
- 173
- Issue:
- 3-4
- Pages:
- 759–812
- Publication date:
- 2018-03-22
- Acceptance date:
- 2018-03-16
- DOI:
- EISSN:
-
1432-2064
- ISSN:
-
0178-8051
- Pubs id:
-
pubs:915404
- URN:
-
uri:b0089e47-6ffc-46b1-8e9f-696773917614
- UUID:
-
uuid:b0089e47-6ffc-46b1-8e9f-696773917614
- Local pid:
- pubs:915404
- Copyright holder:
- Bella et al.
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Journal article
A Liouville theorem for stationary and ergodic ensembles of parabolic systems
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