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Multiplicative Perturbations of Local C-Regularized Semigroups
Authors:Jin Liang  Ti-Jun Xiao  Fang Li
Institution:(1) Department of Mathematics, University of Science and Technology of China, Hefei 230026, People's Republic of China
Abstract: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.
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