A Liouville theorem for stationary and ergodic ensembles of parabolic systems
成果类型：
Article
署名作者：
Bella, Peter; Chiarini, Alberto; Fehrman, Benjamin
署名单位：
Leipzig University; Aix-Marseille Universite; Max Planck Society
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-018-0843-z
发表日期：
2019
页码：
759-812
关键词：
摘要：
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,-regularity estimate for caloric functions.
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