Solutions of reaction-diffusion equations blowing-up on the parabolic boundary
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Bandle, Chatherine | |
| dc.contributor.author | Díaz Díaz, Gregorio | |
| dc.date.accessioned | 2023-06-20T16:56:42Z | |
| dc.date.available | 2023-06-20T16:56:42Z | |
| dc.date.issued | 1994 | |
| dc.description.abstract | We study the existence, the asymptotic behaviour near the parabolic boundary and the uniqueness of the solutions of nonlinear reaction-diffusion equations, which blow up on the parabolic boundary. We extend some results for elliptic problems given in ([1], [4]). A fondamental tool is the construction of suitable upper and lower solutions. | |
| 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/16162 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.officialurl | http://gallica.bnf.fr/ark:/12148/bpt6k6107970c/f449.image.r=COMPTES+RENDUS+DE+L+ACADEMIE+DES+SCIENCES+SERIE+I-MATHEMATIQUE.langEN | |
| dc.identifier.relatedurl | http://cat.inist.fr/?aModele=afficheN&cpsidt=11204468 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57482 | |
| dc.issue.number | 5 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.language.iso | fra | |
| dc.page.final | 460 | |
| dc.page.initial | 455 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.957 | |
| dc.subject.keyword | blow up on the parabolic boundary | |
| dc.subject.keyword | upper and lower solutions | |
| dc.subject.keyword | elliptic-equations | |
| dc.subject.keyword | uniqueness | |
| dc.subject.keyword | existence | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Solutions of reaction-diffusion equations blowing-up on the parabolic boundary | |
| dc.type | journal article | |
| dc.volume.number | 318 | |
| dcterms.references | C. BANDLE et M. MARCUS, J. Anal. Math., 58, 1992, p. 9-24 C. BANDLE et M. MARCUS, Asymptotic behaviour 01 solutions and their derivatives with blow up on the boundary (manuscrit). M. G. CRANDALL, P.-L. LIONS et P. SOUGANIDIS, Arch. Rat. Mech. Anal., 105, 1989, p. 163-190. G. DÍAZ et R. LETELlER, Nonlinear Analysis MTA, 20, 1993, p. 97-125. J. I. DÍAZ, C. R. A cad. Sci. Paris, 312, série 1, 1991, p. 519-522. J. I. DíAZ, Memorias de la Real Academia de Ciencias de Madrid, XXVIII, 1991. N. J. KOREVAAR, Ind. Univ. Math. J., 32, n° 4, 1983, p. 603-614. J. M. LASRY et P.-L. LIONS, Math Ann., 283, 1989, p. 583-630. D. SATTlNGER, Ind. Univ. Math. J., 21, 1972, p. 979-1000. J. L. VAZQUEZ et M. WALIAS, Existence and uniqueness of solution of diffusion-absorption equations with general data, Journal of Differential and Integral Equations (a paraitre). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication | 4ec05576-7c32-4862-aaea-26a72bafee94 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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