Author： Guidetti D.
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.28, Iss.3-4, 2007-03, pp. : 307-337
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Abstract
We show finite difference analogues of maximal regularity results for discretizations of abstract linear parabolic problems. The involved spaces are discrete versions of spaces of Hölder 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.
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