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 C 1,α -regularity estimate for caloric functions.
A Liouville theorem for stationary and ergodic ensembles of parabolic systems
Chiarini A.;
2019
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 C 1,α -regularity estimate for caloric functions.File in questo prodotto:
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