Remarks on maximal regularity
Classical Analysis and ODEs
2009-12-23 v1 Analysis of PDEs
Functional Analysis
Abstract
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.
Cite
@article{arxiv.0912.4482,
title = {Remarks on maximal regularity},
author = {Pascal Auscher and Andreas Axelsson},
journal= {arXiv preprint arXiv:0912.4482},
year = {2009}
}
Comments
submitted to a volume in honor of Amann's birthday