BACKWARD EULER SCHEME, SINGULAR HOLDER NORiV;S, AND MAXIMAL REGULARITY FOR PARABOLIC DIFFERENCE EQUATIONS

摘要

D We show finite difference analogues of maximal regularity results for discretizations of abstract linear parabolic problems The involved spaces are discrete bersions of spaces of Holder continuous functions, which can be singular in 0, The main tools are real interpolation and Da Prato-Grisvard's theory of the sum of linear operators.