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Multiplicative Perturbations of Local C-Regularized Semigroups

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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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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, People's Republic of China

    Jin Liang, Ti-Jun Xiao & Fang Li

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  1. Jin Liang
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  2. Ti-Jun Xiao
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  3. Fang Li
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Correspondence to Jin Liang, Ti-Jun Xiao or Fang Li.

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Liang, J., Xiao, TJ. & Li, F. Multiplicative Perturbations of Local C-Regularized Semigroups. Semigroup Forum 72, 375–386 (2006). https://doi.org/10.1007/s00233-005-0557-2

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  • DOI: https://doi.org/10.1007/s00233-005-0557-2

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