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: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/917190 |
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| _version_ | 1832566703644475392 |
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| author | Hong Luo |
| author_facet | Hong Luo |
| author_sort | Hong Luo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c3c24831798e494b935a7406076fa605 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c3c24831798e494b935a7406076fa6052025-02-03T01:03:29ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/917190917190Regularity of Global Attractor for the Reaction-Diffusion EquationHong Luo0College of Mathematics and Software Science, Sichuan Normal University, Sichuan, Chengdu 610066, ChinaBy 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.http://dx.doi.org/10.1155/2012/917190 |
| spellingShingle | Hong Luo Regularity of Global Attractor for the Reaction-Diffusion Equation Abstract and Applied Analysis |
| title | Regularity of Global Attractor for the Reaction-Diffusion Equation |
| title_full | Regularity of Global Attractor for the Reaction-Diffusion Equation |
| title_fullStr | Regularity of Global Attractor for the Reaction-Diffusion Equation |
| title_full_unstemmed | Regularity of Global Attractor for the Reaction-Diffusion Equation |
| title_short | Regularity of Global Attractor for the Reaction-Diffusion Equation |
| title_sort | regularity of global attractor for the reaction diffusion equation |
| url | http://dx.doi.org/10.1155/2012/917190 |
| work_keys_str_mv | AT hongluo regularityofglobalattractorforthereactiondiffusionequation |