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Finite dimensionality of global attractors for a non-classical reaction–diffusion equation with memory

✍ Scribed by Tao Chen; Zhe Chen; Yanbin Tang

Book ID
113449269
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
229 KB
Volume
25
Category
Article
ISSN
0893-9659

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✍ M. Anguiano; T. Caraballo; J. Real 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 397 KB

We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H 2 -boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a nonautonomous reaction-diffusion equati