The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach
| dc.book.title | Nonlinear diffusion equations and their equilibrium states | |
| dc.contributor.author | Galaktionov, V. A. | |
| dc.contributor.author | Herrero, Miguel A. | |
| dc.contributor.author | Velázquez, J.J. L. | |
| dc.contributor.editor | Lloyd, N. G. | |
| dc.contributor.editor | Ni, W. M. | |
| dc.contributor.editor | Peletier, L. A. | |
| dc.contributor.editor | Serrin, J. | |
| dc.date.accessioned | 2023-06-20T21:07:55Z | |
| dc.date.available | 2023-06-20T21:07:55Z | |
| dc.date.issued | 1992 | |
| dc.description | Proceedings of the conference held in Gregynog, Wales, August 20–29, 1989 | |
| dc.description.abstract | We consider nonnegative solutions of the semilinear parabolic equation u t —u xx + u p = 0, -∞<x< +∞, t>0, 0<p<l, which vanish at the extinction point x = 0 at a time t = T. By means of formal methods, we derive a family of asymptotic expansions for solutions and interface curves (these last separating the regions where u = 0 and u> 0), as (x,t) approaches (0,T). | |
| 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/22708 | |
| dc.identifier.doi | 10.1007/978-1-4612-0393-3_16 | |
| dc.identifier.isbn | 978-1-4612-6741-6 | |
| dc.identifier.officialurl | http://link.springer.com/chapter/10.1007/978-1-4612-0393-3_16 | |
| dc.identifier.relatedurl | http://www.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/60766 | |
| dc.issue.number | 7 | |
| dc.page.final | 236 | |
| dc.page.initial | 215 | |
| dc.page.total | 572 | |
| dc.publication.place | Boston | |
| dc.publisher | Birkhäuser | |
| dc.relation.ispartofseries | Progress in Nonlinear Differential Equations and their Applications | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 517.956.4 | |
| dc.subject.keyword | Semilinear parabolic equation | |
| dc.subject.keyword | extinction point | |
| dc.subject.keyword | formal methods | |
| dc.subject.keyword | family of asymptotic expansions | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: a formal approach | |
| dc.type | book part | |
| dc.volume.number | 3 | |
| dcterms.references | H. Brezis and A. Friedman, Estimates on the support of solutions of parabolic variational inequalities, Illinois J. Math., 20(1976), 82–98. X. Chen, H. Matano and M. Mimura, Finite-point extinction and continuity of interfaces in a nonlinear diffusion equation with strong absorption, to appear. L. C. Evans and B. F. Knerr, Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities, Illinois J. Math. 23 (1979), 153–166. A. Friedman and M. A. Herrero, Extinction properties of semilinear heat equations with strong absorption, J. Math. Anal, and Appl. 124 (1987), 530–546. A. Friedman and J. B. McLeod, Blow-up of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985), 425–447. V. A. Galaktionov, M. A. Herrero and J. J. L. Velázquez, The space structure near a single point blow-up for semilinear heat equations: A formal approach, to appear. A. S. Kalashnikov, The propagation of disturbances in problems of nonlinear heat conduction with absorption USSR Comp. Math. Phys. 14(1974), 70–85. | |
| dspace.entity.type | Publication |