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Attractors of Non-autonomous Parabolic Equations and Their Symmetry Properties

✍ Scribed by Anatoli V Babin; George R Sell


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
455 KB
Volume
160
Category
Article
ISSN
0022-0396

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A non-autonomous strongly damped wave eq
✍ TomΓ‘s Caraballo; Alexandre N. Carvalho; JosΓ© A. Langa; Felipe Rivero πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 300 KB

In this paper we consider the strongly damped wave equation with time-dependent terms in a bounded domain Ω βŠ‚ R n , under some restrictions on Ξ² Ξ΅ (t), Ξ³ (t) and growth restrictions on the nonlinear term f . The function Ξ² Ξ΅ (t) depends on a parameter Ξ΅, Ξ² Ξ΅ (t) Ξ΅β†’0 -β†’ 0. We will prove, under suit