期刊
ANNALS OF APPLIED PROBABILITY
卷 28, 期 3, 页码 1379-1422出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/17-AAP1332
关键词
Degenerate elliptic equation; degenerate elliptic system; stochastic homogenization; large-scale regularity; Liouville theorem
资金
- German Science Foundation DFG [BE 5922/1-1]
- National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship [15020731]
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 C-1,C-alpha-regularity estimate for a-harmonic functions and obtain a first-order Liouville theorem for a-harmonic functions.
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