The waiting time property for parabolic problems trough the
nondiffusion of support for the stationary problems
| dc.contributor.author | Álvarez, Luis | |
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.date.accessioned | 2023-06-20T20:07:12Z | |
| dc.date.available | 2023-06-20T20:07:12Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | In this note we study the waiting time phenomenon for local solutions of the nonlinear diffusion equation through its connection with the nondiffusion of the support property for local solutions of the family of discretized elliptic problems. We show that, under a suitable growth condition on the initial datum near the boundary of its support, a finite part of the family of solutions of the discretized problem maintain unchanged its support. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.sponsorship | RTN of the European Commission | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30885 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.officialurl | http://www.rac.es/ficheros/doc/00111.pdf | |
| dc.identifier.relatedurl | http://www.springer.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59601 | |
| dc.issue.number | 1 | |
| dc.journal.title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.language.iso | eng | |
| dc.page.final | 88 | |
| dc.page.initial | 83 | |
| dc.publisher | Springer | |
| dc.relation.projectID | RN2000/0766 | |
| dc.relation.projectID | HPRN-CT-2002-00274 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Nonlinear diffusion equation | |
| dc.subject.keyword | waiting time | |
| dc.subject.keyword | non-diffusion of the support | |
| dc.subject.keyword | semilinear equations | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems | |
| dc.type | journal article | |
| dc.volume.number | 97 | |
| dcterms.references | Álvarez, L. (1988). Fenómenos de retención de interfases en problemas de difusión no lineal, Tesis Doctoral, Departamento de Matemática Aplicada, Universidad Complutense de Madrid. Álvarez, L. and Díaz, J. I. (1987). On the behaviour near the free boundary of solutions of some non homogeneous elliptic problems. In Actas del IX CEDYA, Univ. de Valladolid, 55–59. Antontsev, S., Díaz, J. I. and Shmarev S. (2002), Energy methods for free boundary problems. Applications to nonlinear PDEs and Fluid Mechanics, Series Progress in Nonlinear Differential Equations and Their Applications, No. 48, Birkäuser, Boston. Benilan, Ph., Brezis, H. and Crandall, M.G., (1975). A semilinear equation in L1, Ann. Scu. Norm. Sup. Pisa, 2,532–555. Díaz, J. I. (1985). Nonlinear Partial Differential Equations and Free Boundaries. Pitman, Research Notes in Mathematics nº 106, London. Díaz,J.I.(2001).Qualitative study of nonlinear parabolic equations: an introduction, Extracta Mathematicae,16, 303-341. Díaz, J. I. (2003). Energy methods for free boundary problems: new results and some remarks on numerical algorithms, To appear in ESAVIM. Kalashnikov, A. S. 1987). Some problems of qualitative theory of nonlinear degenerate second-order parabolic equations, Uspekhi Mat. Nauk, 42, 135–176 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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