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MiS Preprint
37/2017

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

Peter Bella, Alberto Chiarini and Benjamin Fehrman

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 $\C^{1,\alpha}$-regularity estimate for caloric functions.

Received:
Jun 14, 2017
Published:
Jun 28, 2017

Related publications

inJournal
2019 Journal Open Access
Peter Bella, Alberto Chiarini and Benjamin J. Fehrman

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

In: Probability theory and related fields, 173 (2019) 3/4, pp. 759-812