Regularity of Global Attractor for the Reaction-Diffusion Equation
By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-...
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Materyal Türü: | Makale |
Dil: | English |
Baskı/Yayın Bilgisi: |
Wiley
2012-01-01
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Seri Bilgileri: | Abstract and Applied Analysis |
Online Erişim: | http://dx.doi.org/10.1155/2012/917190 |