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Unbounded Perturbations of C0-Semigroups on Banach Spaces and Applications

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Abstract

In this paper we prove a perturbation result for strongly continuous semigroups extending one of G. Weiss from Hilbert to Banach spaces. This allows us to establish a new variation of constants formula for non-homogeneous perturbed Cauchy problems. From this formula we deduce another new one for non-homogeneous functional differential equations with Lp-phase spaces in terms of Yosida extensions of delay operators.

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  1. Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P.: 2390, 40000 Marrakesh, Morocco

    Said Hadd

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  1. Said Hadd
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Correspondence to Said Hadd.

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Hadd, S. Unbounded Perturbations of C0-Semigroups on Banach Spaces and Applications. Semigroup Forum 70, 451–465 (2005). https://doi.org/10.1007/s00233-004-0172-7

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  • DOI: https://doi.org/10.1007/s00233-004-0172-7

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