Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
| dc.contributor.author | Arrieta Algarra, José María | |
| dc.contributor.author | Cholewa, Jan W. | |
| dc.contributor.author | Dlotko, Tomasz | |
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.date.accessioned | 2023-06-20T09:46:24Z | |
| dc.date.available | 2023-06-20T09:46:24Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | In this paper we give general and flexible conditions for a reaction diffusion equation to be dissipative in an-unbounded domain. The functional setting is based on standard Lebesgue and Sobolev-Lebesgue spaces. We show how the reaction and diffusion mechanisms have to work together to obtain the asymptotic compactness of solutions and therefore the existence of the compact attractor. In particular cases, our results allow us to improve some previous known results. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.sponsorship | KNB (Poland) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/18046 | |
| dc.identifier.doi | 10.1016/j.na.2003.09.023 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0362546X03003808 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50335 | |
| dc.issue.number | 4 | |
| dc.journal.title | Nonlinear Analysis: Theory, Methods & Applications | |
| dc.language.iso | eng | |
| dc.page.initial | 515 – 554 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | BFM2000-0798 | |
| dc.relation.projectID | P03A 035 18 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Dissipativity | |
| dc.subject.keyword | Attractors | |
| dc.subject.keyword | Asymptotic behavior | |
| dc.subject.keyword | Reaction-diffusion | |
| dc.subject.keyword | Assymptotic compactness | |
| dc.subject.keyword | Unbounded domains | |
| dc.subject.keyword | Semilinear parabolic equations | |
| dc.subject.keyword | Nonlinear boundary-conditions | |
| dc.subject.keyword | Heat-equations | |
| dc.subject.keyword | Blow-up | |
| dc.subject.keyword | Schrodinger operator | |
| dc.subject.keyword | Evolution-equations | |
| dc.subject.keyword | Global attractor | |
| dc.subject.keyword | Existence | |
| dc.subject.keyword | Semigroups | |
| dc.subject.keyword | Systems | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains | |
| dc.type | journal article | |
| dc.volume.number | 56 | |
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