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A Liouville theorem for elliptic systems with degenerate ergodic coefficients
Peter Bella, Benjamin Fehrman and Felix OttoAbstract
We study the behavior of second-order degenerate elliptic systems in divergence form with random coefficients which are stationary and ergodic. Assuming moment bounds like Chiarini and Deuschel [Arxiv preprint 1410.4483, 2014] on the coefficient field
- Received:
- 08.07.16
- Published:
- 15.07.16
- MSC Codes:
- 35B53, 35B65, 35J70, 60H25, 60K37
- Keywords:
- degenerate elliptic equation, degenerate elliptic system, stochastic homogenization, large-scale regularity, liouville theorem