Unbounded Perturbations of C0-Semigroups on Banach Spaces and Applications
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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.
KeywordsDifferential Equation Banach Space Cauchy Problem Functional Differential Equation Continuous Semigroup
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