Attractor of reaction-diffusion equations in Banach spaces
In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as phase space. Finally, new results concerning...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2001-04-01
|
| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/3017 |
| _version_ | 1818195536404021248 |
|---|---|
| author | José Valero |
| author_facet | José Valero |
| author_sort | José Valero |
| collection | DOAJ |
| description | In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L2 are obtained. |
| first_indexed | 2024-12-12T01:19:45Z |
| format | Article |
| id | doaj.art-23975ee9986f47ed8ca168a115b42eb8 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-12T01:19:45Z |
| publishDate | 2001-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-23975ee9986f47ed8ca168a115b42eb82022-12-22T00:43:15ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472001-04-0121779810.4995/agt.2001.30172484Attractor of reaction-diffusion equations in Banach spacesJosé Valero0Universidad Cardenal Herrera CEUIn this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L2 are obtained.http://polipapers.upv.es/index.php/AGT/article/view/3017AttractorAsymptoticBehaviourReaction-diffusion equationsFractal dimension |
| spellingShingle | José Valero Attractor of reaction-diffusion equations in Banach spaces Applied General Topology Attractor Asymptotic Behaviour Reaction-diffusion equations Fractal dimension |
| title | Attractor of reaction-diffusion equations in Banach spaces |
| title_full | Attractor of reaction-diffusion equations in Banach spaces |
| title_fullStr | Attractor of reaction-diffusion equations in Banach spaces |
| title_full_unstemmed | Attractor of reaction-diffusion equations in Banach spaces |
| title_short | Attractor of reaction-diffusion equations in Banach spaces |
| title_sort | attractor of reaction diffusion equations in banach spaces |
| topic | Attractor Asymptotic Behaviour Reaction-diffusion equations Fractal dimension |
| url | http://polipapers.upv.es/index.php/AGT/article/view/3017 |
| work_keys_str_mv | AT josevalero attractorofreactiondiffusionequationsinbanachspaces |