A Liouville theorem for elliptic systems with degenerate ergodic coefficients

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 (2014) on the coefficient field a and its inverse, we prove an intrinsic large-scale C1,α-regularity estim...

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Bibliographic Details
Main Authors: Bella, P, Fehrman, B, Otto, F
Format: Journal article
Published: Institute of Mathematical Statistics 2018