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The Modulus Semigroup for Linear Delay Equations

✍ Scribed by Said Boulite; Lahcen Maniar; Abdelaziz Rhandi; Jürgen Voigt


Book ID
111604850
Publisher
Springer
Year
2004
Tongue
English
Weight
92 KB
Volume
8
Category
Article
ISSN
1385-1292

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📜 SIMILAR VOLUMES


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