On the approximate controllability of variational inequalities and others nonlinear parabolic problems
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.date.accessioned | 2023-06-20T16:57:27Z | |
| dc.date.available | 2023-06-20T16:57:27Z | |
| dc.date.issued | 1991-03-28 | |
| dc.description.abstract | We show how the approximate controllability of nonlinear parabolic problems may fail although it is a well-known property for linear equations. For the case of the obstacle problem the answer depends on the negativeness of the righ hand side term and for semilinear equations it depends on the sub or superlinear character at the infinity of the nonlinear term. | |
| 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/16280 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.officialurl | http://cat.inist.fr/?aModele=afficheN&cpsidt=19661531 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57511 | |
| dc.issue.number | 7 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.language.iso | fra | |
| dc.page.final | 522 | |
| dc.page.initial | 519 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.911.7 | |
| dc.subject.keyword | approximate controllability | |
| dc.subject.keyword | nonlinear parabolic problems | |
| dc.subject.keyword | obstacle problem | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | On the approximate controllability of variational inequalities and others nonlinear parabolic problems | |
| dc.type | journal article | |
| dc.volume.number | 312 | |
| dcterms.references | J. L. LIONS, El Planeta Tierra, Instituto de España Ed .. Espasa Calpe. Madrid, 1990. J. L. LIONS, Contrôle optimal de systèmes gouvernès par des équations aux dérivées partielles, Dunod,1968. V. BARBU, Optimal control of variational inequalties, Pitman Res. Notes in Math., nº 100, 1984. J. I. DÍAZ, Article détaillé en préparation. H. BREZIS, Problemes Unilatéraux, J. Math. Pures et Appl., 51, 1972, p. 1-168. T. I. SEIDMAN, Invariance of the reachable set under nonlinear perturbations, S.I.A.M. J. Control and Optimization, 25, 1987, p. 1173-1191. L. VERON, Effets régularisants de semigroupes non linéaires dans les espaces de Banach, Annales Fac,des Sciences de Toulouse, I, 1979, p. 171-200. H, BREZIS et A. FRIEDMAN, Nonlinear parabolic equations involving measures as initial conditions,J. Math. Pures et Appl., 62, 1983, p. 73-97. J. HENRY, Étude de la contrôlabilité de certaines équations paraboliques non linéaircs, These d'État,Université Paris-VI | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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