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Semigroups on Frechet spaces and equations with infinite delays

✍ Scribed by T Sengadir


Book ID
107589214
Publisher
Indian Academy of Sciences
Year
2007
Tongue
English
Weight
247 KB
Volume
117
Category
Article
ISSN
0253-4142

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Semigroups and Linear Partial Differenti
✍ AndrΓ‘s BΓ‘tkai; Susanna Piazzera πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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