Parabolic singular limit of a wave equation with localized interior damping
| dc.contributor.author | Rodríguez Bernal, Aníbal | |
| dc.contributor.author | Zuazua Iriondo, Enrique | |
| dc.date.accessioned | 2023-06-20T17:11:19Z | |
| dc.date.available | 2023-06-20T17:11:19Z | |
| dc.date.issued | 2001-05 | |
| 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.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19931 | |
| dc.identifier.doi | 10.1142/S0219199701000330 | |
| dc.identifier.issn | 0219-1997 | |
| dc.identifier.officialurl | http://www.worldscientific.com/doi/pdf/10.1142/S0219199701000330 | |
| dc.identifier.relatedurl | http://www.worldscientific.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57913 | |
| dc.issue.number | 2 | |
| dc.journal.title | Communications in contemporary mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 257 | |
| dc.page.initial | 215 | |
| dc.publisher | World Scientific Publ. Co. Pte. Ltd. | |
| dc.relation.projectID | PB96-0648 | |
| dc.relation.projectID | PB96-0663 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Damped wave equation | |
| dc.subject.keyword | Parabolic-elliptic equation | |
| dc.subject.keyword | Energy estimate | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Parabolic singular limit of a wave equation with localized interior damping | |
| dc.type | journal article | |
| dc.volume.number | 3 | |
| dcterms.references | J. M. Ball, Strongly continuous semigroups, weak solutions and the variation of constants formula, Proc. Amer. Math. Soc. 63 (1977) 370–373. C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Cont. Optim. 30 (1992) 1024–1065. H. Brezis, Analyse Fonctionnelle et Applications, Masson (1983). F. E. Browder, Estimates and existence theorems for elliptic boundary value problems, Proc. Natl. Acad. Sci. 45 (1959) 365–375. T. Cazenave and A. Haraux, Introduction Aux Problèmes d'évolution Semilinéaires, Mathématiques & Applications, Ellipses, Paris (1989). E. B. Davies, One Parameter Semigroups, London Mathematical Society Monographs Vol. 15, Academic Press (1980). D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer (1982). D. Henry, Evolution equations in Banach spaces, Course Notes, Inst. Mat. Est. Universidad de S~ao Paulo, Brazil (1981). A. López, X. Zhang and E. Zuazua, Null controllability of the heat equation as a singular limit of the exact controllability of dissipative wave equations, J. Math. Pures et Appl., to appear. cf. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences 44, Springer (1983). A. Rodríguez-Bernal and E. Zuazua, Parabolic singular limit of a wave equation with localized boundary damping, Discrete and Continuous Dynamical Systems 1(3) (1995) 303–346. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 | |
| relation.isAuthorOfPublication | 8b66f606-26f7-4011-9dfb-585ec9c520ea | |
| relation.isAuthorOfPublication.latestForDiscovery | fb7ac82c-5148-4dd1-b893-d8f8612a1b08 |
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