Linear elliptic difference inequalities with random coefficients

Author:

Kuo Hung Ju,Trudinger Neil S.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

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