Remarks on Maximal Regularity
Remarks on Maximal Regularity
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.
submitted to a volume in honor of Amann's birthday
- Australian National University Australia
- Linköping University Sweden
- University of Paris-Sud France
- University of Paris-Saclay France
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 47D06, 35K90, 47A60, Analysis of PDEs (math.AP), Functional Analysis (math.FA)
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 47D06, 35K90, 47A60, Analysis of PDEs (math.AP), Functional Analysis (math.FA)
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