The one-dimensional nonlinear heat-equation with absorption: regularity of solutions and interfaces
| dc.contributor.author | Herrero, Miguel A. | |
| dc.contributor.author | Vázquez, Juan Luis | |
| dc.date.accessioned | 2023-06-20T17:06:45Z | |
| dc.date.available | 2023-06-20T17:06:45Z | |
| dc.date.issued | 1987-01 | |
| dc.description.abstract | We consider the equation ut=(Um)xx-λun with m>1, λ>0, n≥m as a model for heat diffusion with absorption. Hence we assume that u≥0 for xЄR, t≥0. We study the regularity of the solution to the Cauchy problem for this degenerate parabolic equation. When the initial datum uo(X)is positive only in a part of the space R, we also study the regularity of the free boundaries that appear. The asymptotic behavior of solutions and free boundaries is also discussed. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | SFPI, Ministerio de Educacibn y Ciencia | |
| dc.description.sponsorship | Fulbright award | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17602 | |
| dc.identifier.doi | 10.1137/0518011 | |
| dc.identifier.issn | 0036-1410 | |
| dc.identifier.officialurl | http://epubs.siam.org/simax/resource/1/sjmaah/v18/i1/p149_s1?isAuthorized=no | |
| dc.identifier.relatedurl | http://epubs.siam.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57789 | |
| dc.issue.number | 1 | |
| dc.journal.title | Siam Journal on Mathematical Analysis | |
| dc.language.iso | eng | |
| dc.page.final | 167 | |
| dc.page.initial | 149 | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.956.4 | |
| dc.subject.cdu | 536.2 | |
| dc.subject.keyword | Nonlinear diffusion with absorption | |
| dc.subject.keyword | regularity | |
| dc.subject.keyword | interfaces or free boundaries | |
| dc.subject.keyword | waiting time | |
| dc.subject.keyword | asymptotic behavior | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | The one-dimensional nonlinear heat-equation with absorption: regularity of solutions and interfaces | |
| dc.type | journal article | |
| dc.volume.number | 18 | |
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