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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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/917190 |
| Summary: | 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-norm. |
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| ISSN: | 1085-3375 1687-0409 |