A Liouville Theorem for Elliptic Systems with Degenerate Ergodic Coefficients

Abstract

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 a and its inverse, we prove an intrinsic large-scale C-regularity estimate for a-harmonic functions and… (More)

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