Linear elliptic difference inequalities with random coefficients

Kuo, Hung Ju; Trudinger, Neil S.

doi:10.1090/S0025-5718-1990-1023049-9

Linear elliptic difference inequalities with random coefficients
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by Hung Ju Kuo and Neil S. Trudinger PDF

Math. Comp. 55 (1990), 37-53 Request permission

Abstract:

We prove various pointwise estimates for solutions of linear elliptic difference inequalities with random coefficients. These estimates include discrete versions of the maximum principle of Aleksandrov and Harnack inequalities and Hölder estimates of Krylov and Safonov for elliptic differential operators with bounded coefficients.

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