Tadahisa Funaki, Beijing Institute of Mathematical Sciences and Applications, People's Republic of China. Sunder Sethuraman, University of Arizona, Tucson, Arizona.
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Description
Chapters; 1. Introduction; 2. Holder estimate for the solution of a discrete PDE; 3. Preliminary estimates for the discrete heat equation, polylinear interpolation and some norms; 4. Schauder estimate for the first discrete derivatives; 5. Schauder estimate for the second discrete derivatives; 6. Construction and estimates of fundamental solutions