Preprint 37/2017

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

Peter Bella, Alberto Chiarini, and Benjamin Fehrman

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Submission date: 14. Jun. 2017
Pages: 37
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Link to arXiv:See the arXiv entry of this preprint.

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.

03.07.2017, 01:42