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Semigroups and differential equations with infinite delay

✍ Scribed by T. Havârneanu


Book ID
107967180
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
1019 KB
Volume
5
Category
Article
ISSN
0362-546X

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Semigroups and Linear Partial Differenti
✍ András Bátkai; Susanna Piazzera 📂 Article 📅 2001 🏛 Elsevier Science 🌐 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