A Liouville theorem for stationary and ergodic ensembles of parabolic systems

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.

Bibliographic Details
Main Authors: Bella, P, Chiarini, A, Fehrman, B
Format: Journal article
Published: Springer 2018