Multiplicative Perturbations of Local C-Regularized Semigroups

Multiplicative Perturbations of Local C-Regularized Semigroups
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DOI:
10.1007/s00233-005-0557-2
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发表时间:
2006-03
期刊:
影响因子:
0.7
通讯作者:
Jin Liang;Ti‐Jun Xiao;Fang Li
Jin Liang;Ti‐Jun Xiao;Fang Li
中科院分区:
数学3区
文献类型:
--
作者:
Jin Liang;Ti‐Jun Xiao;Fang Li

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本文研究了Banach空间上局部C-正则半群的乘法扰动,建立了一些新的乘法扰动结果,推广了已有的许多定理.此外,我们给出了抽象结果的应用到三个具体问题,包括有限秩反馈倒向热方程的混合初边值问题。
In this paper, we investigate the multiplicative perturbations of local C-regularized semigroups on Banach spaces and establish some new multiplicative perturbation results which are generalizations of many existing theorems. Moreover, we give applications of the abstract results to three concrete problems including the mixed initial-boundary value problem for backwards heat equations with finite rank feedbacks.