Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations
| dc.book.title | Nonlinear elliptic and parabolic problems. A special tribute to the work of Herbert Amann | |
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.contributor.author | Vidal López, Alejandro | |
| dc.contributor.editor | Chipot, M. | |
| dc.contributor.editor | Escher, J. | |
| dc.date.accessioned | 2023-06-20T13:38:52Z | |
| dc.date.available | 2023-06-20T13:38:52Z | |
| dc.date.issued | 2005 | |
| dc.description | Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004. | |
| dc.description.abstract | The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria that bound asymptotically all solutions to that nonlinear heat equation. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17808 | |
| dc.identifier.doi | 10.1007/3-7643-7385-7_30 | |
| dc.identifier.isbn | 3-7643-7266-4 | |
| dc.identifier.officialurl | http://link.springer.com/chapter/10.1007%2F3-7643-7385-7_30 | |
| dc.identifier.relatedurl | http://link.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/53191 | |
| dc.language.iso | eng | |
| dc.page.final | 516 | |
| dc.page.initial | 509 | |
| dc.publication.place | Basel, Switzerland | |
| dc.publisher | BIRKHAUSER VERLAG AG | |
| dc.relation.ispartofseries | Progress in Nonlinear Differential Equations and their Applications | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Nonlinear heat equations | |
| dc.subject.keyword | Asymptotic behavior | |
| dc.subject.keyword | Growth condition | |
| dc.subject.keyword | Maximal and minimal equilibria | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations | |
| dc.type | book part | |
| dc.volume.number | 64 | |
| dcterms.references | H. Amann. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review, 18(4):620–709, 1976. H. Berestycki and P.L. Lions. Some applications of the method of super and subsolutions. In Bifurcation and nonlinear eigenvalue problems (Proc., Session, Univ. Paris XIII, Villetaneuse, 1978), volume 782 of Lecture Notes in Math., pages 16–41. Springer, Berlin, 1980. H. Brézis and Luc Oswald. Remarks on sublinear elliptic equations. Nonlinear Anal., Theory Methods Appl., 10:55–64, 1986. D.G. de Figueiredo. Positive solutions of semilinear elliptic problems. In Differential equations (São Paulo, 1981), volume 957 of Lecture Notes in Math., pages 34–87. Springer, Berlin, 1982. D. Henry. Geometric Theory of Semilinear Parabolic Equations. Number 840 in Lecture Notes in Mathematics. Springer-Verlag, 1981. P.L. Lions. On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24(4):441–467, 1982. A. Lunardi. Analytic semigroups and optimal regularity in parabolic problems. Progress in Nonlinear Differential Equations and their Applications, 16. Birkhäuser Verlag, Basel, 1995. I. Stakgold and L.E. Payne. Nonlinear problems in nuclear reactor analysis. In Nonlinear problems in the physical sciences and biology (Proc. Battelle Summer Inst., Seattle, Wash., 1972), volume 322 of Lecture Notes in Math., pages 298–307. Springer, Berlin, 1979. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication | da7597a3-d93f-4f3d-ab79-9f35c2637cde | |
| relation.isAuthorOfPublication.latestForDiscovery | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 |
Download
Original bundle
1 - 1 of 1
