Blow-up of solutions of supercritical semilinear parabolic equations
| dc.contributor.author | Herrero, Miguel A. | |
| dc.contributor.author | Velázquez, J.J. L. | |
| dc.date.accessioned | 2023-06-20T17:08:52Z | |
| dc.date.available | 2023-06-20T17:08:52Z | |
| dc.date.issued | 1994-07-21 | |
| dc.description.abstract | We consider the equation (E) u(t) = Δu + u(p) where x Є R(N) (N ≥ 1), t > 0, p > 1. We show that if N ≥ 11 and p > N - 2 (N - 1)1/2/(N - 4) - 2(N - 1)1/2 then there exist radial and positive solutions of (E) which blow up at x = 0, t = T < ∞ and such that GRAPHICS Precise asymptotics for these solutions near t = T are also obtained | |
| 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/17927 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/journal/07644442 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57843 | |
| dc.issue.number | 2 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.page.final | 145 | |
| dc.page.initial | 141 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 517.956.4 | |
| dc.subject.keyword | Supercritical semilinear parabolic equations | |
| dc.subject.keyword | radial and positive solutions | |
| dc.subject.keyword | blow up | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Blow-up of solutions of supercritical semilinear parabolic equations | |
| dc.type | journal article | |
| dc.volume.number | 319 | |
| dspace.entity.type | Publication |