A Liouville theorem for stationary and ergodic ensembles of parabolic systems

DOI10.1007/s00440-018-0843-zzbMath1408.35069arXiv1706.03440OpenAlexW2625017001WikidataQ130080303 ScholiaQ130080303MaRDI QIDQ1740587

Peter Bella, Benjamin Fehrman, Alberto Chiarini

Publication date: 30 April 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03440

zbMATH Keywords

parabolic equationLiouville theoremstochastic homogenizationparabolic systemlarge-scale regularity

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic equations (35K10) Second-order parabolic systems (35K40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (5)

Quantitative stochastic homogenization and regularity theory of parabolic equations ⋮ Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment ⋮ Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields ⋮ Large-scale regularity in stochastic homogenization with divergence-free drift ⋮ Effective multipoles in random media

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