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.
CITATION STYLE
Auscher, P., & Axelsson, A. (2011). Remarks on maximal regularity. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 45–55). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_3
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