This is the abstract of the paper
  "Semigroups and Linear Partial Differential Equations with Delay"
by Andras Batkai and Susanna Piazzera.

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Abstract: We prove the equivalence of the well-posedness of a partial
differential equation with delay and an associated abstract Cauchy
problem.  This is used to derive sufficient conditions for well-posedness,
exponential stability and norm continuity of the solutions.
Applications to a reaction-diffusion equation with delay are given.