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Linear elliptic difference inequalities with random coefficients. (English) Zbl 0716.39005
Discrete versions of maximum principles, Hölder estimates and Harnack inequalities are obtained for linear elliptic difference operators of positive type. A theorem of T. Motzkin and W. Wasow [J. Math. Phys. 31, 253-259 (1953; Zbl 0050.125)] is then used to obtain new proofs of the corresponding results for differential equations.
Reviewer: L.I.Grimm

MSC:
39A70 Difference operators
39A12 Discrete version of topics in analysis
39A10 Additive difference equations
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