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Schauder estimates for fully nonlinear elliptic difference operators

Kuo, Hung-Ju; Trudinger, Neil


In this paper, we are concerned with discrete Schauder estimates for solutions of fully nonlinear elliptic difference equations. Our estimates are discrete versions of second derivative Holder estimates of Evans, Krylov and Safonov for fully nonlinear elliptic partial differential equations. They extend previous results of Holtby for the special case of functions of pure second-order differences on cubic meshes. As with Holtby's work, the fundamental ingredients are the pointwise estimates of...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: Proceedings of the Royal Society of Edinburgh


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