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Hyperbolicity of linear partial differential equations with delay

✍ Scribed by András Bátkai


Publisher
SP Birkhäuser Verlag Basel
Year
2002
Tongue
English
Weight
587 KB
Volume
44
Category
Article
ISSN
0378-620X

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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