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Maximal regularity of evolution equations on discrete time scales

Portal, Pierre


We consider the question of Lp-maximal regularity for inhomogeneous Cauchy problems in Banach spaces using operator-valued Fourier multipliers. This follows results by L. Weis in the continuous time setting and by S. Blunck for discrete time evolution equations. We generalize the later result to the case of some discrete time scales (discrete problems with nonconstant step size). First we introduce an adequate evolution family of operators to consider the general problem. Then we consider the...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Journal of Mathematical Analysis and Applications
DOI: 10.1016/j.jmaa.2004.09.003


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