Journal
PROBABILITY THEORY AND RELATED FIELDS
Volume 173, Issue 3-4, Pages 759-812Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00440-018-0843-z
Keywords
Stochastic homogenization; Liouville theorem; Large-scale regularity; Parabolic equation; Parabolic system
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Funding
- Max Planck Society
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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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