Remarks on maximal regularity

Details Remarks on maximal regularity Remarks on maximal regularity

2009-12-22

arxiv.org/abs/0912.4482v1

Mathematics

Classical Analysis and ODEs

submitted to a volume in honor of Amann's birthday

Scientific paper

We prove weighted estimates for the maximal regularity operator. Such estimates were motivated by boundary value problems. We take this opportunity to study a class of weak solutions to the abstract Cauchy problem. We also give a new proof of maximal regularity for closed and maximal accretive operators following from Kato's inequality for fractional powers and almost orthogonality arguments.

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