Perturbation of local \(C\)-semigroups
type: Item
instance of: scholarly article
title: Perturbation of local \(C\)-semigroups
zbMATH Open document ID: 1203.47023
author: Sen-Yen Shaw
author: Yuan-Chuan Li
author: Chung-Cheng Kuo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-02-04T00:00:00Z
review text: Let \(C\) be a bounded linear injective operator and \(A\) be the generator of a local \(C\)-semigroup \(\{S(t):0\leq t<T\}\) on a Banach space \(X\). It is proved that, if \(B\) is a bounded operator such that \(R(B)\subset R(C)\) and \(BCx=CBx\) for all \(x\in D(A)\), then \(A+B\) also generates a local \(C\)-semigroup.
Mathematics Subject Classification ID: 47D60
zbMATH DE Number: 5502881
zbMATH Keywords: local \(C\)-semigroup
zbMATH Keywords: perturbation
zbMATH Keywords: abstract Cauchy problem
MaRDI profile type: Publication
full work available at URL: j.na.2004.09.036
OpenAlex ID: W2071999300
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DOI: 10.1016/J.NA.2004.09.036
description: scientific article; zbMATH DE number 5502881