Semigroups and Linear Partial Differenti
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András Bátkai; Susanna Piazzera
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Article
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2001
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Elsevier Science
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English
⚖ 145 KB
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 eq