Hille-Yosida type theorems for \(O(\omega (t))n\)-times integrated semigroups
type: Item
instance of: scholarly article
title: Hille-Yosida type theorems for \(O(\omega (t))n\)-times integrated semigroups
zbMATH Open document ID: 1216.47075
author: Zhanrong Hu
author: Zhen Jin
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-09T00:00:00Z
review text: For an arbitrary continuous increasing function \(\omega(t):[0,\infty )\to \mathbb C\), the authors introduce the concept of \(n\)-times integrated Laplace transforms of \(O(\omega (t))\) vector-valued functions, taking into account fundamental contributions due to Arendt, Kellermann and Hieber. The authors characterize the properties of the above integrated Laplace transforms. Thanks to these properties, they establish Hille-Yosida type theorems for \(O(\omega (t))n\)-times integrated semigroups. An example of application of this theory is given at the end of the paper.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 47D62
Mathematics Subject Classification ID: 47B40
zbMATH DE Number: 5563055
zbMATH Keywords: \(n\)-times integrated Laplace transforms
zbMATH Keywords: \(O(\omega (t))\) vector-valued functions
zbMATH Keywords: \(O(\omega (t))n\)-times integrated semigroups
zbMATH Keywords: infinitesimal generators
zbMATH Keywords: Hille-Yosida type theorems
MaRDI profile type: Publication
full work available at URL: j.na.2008.10.090
OpenAlex ID: W1486044012
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DOI: 10.1016/J.NA.2008.10.090
description: scientific article; zbMATH DE number 5563055