Dynamic Boundary Conditions as Limit of Singularly Perturbed Parabolic Problems

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dc.contributor.authorJiménez Casas, Ángela
dc.contributor.authorRodríguez Bernal, Aníbal
dc.date.accessioned2023-06-20T03:58:38Z
dc.date.available2023-06-20T03:58:38Z
dc.date.issued2011
dc.description.abstractWe obtain dynamic boundary conditions as a limit of parabolic problems with null flux where the time derivative concentrates near the boundary.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipGrupo 920894 BSCH-UCM
dc.description.sponsorshipGrupo de Investigación CADEDIF
dc.description.sponsorshipM.E.C. Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/33291
dc.identifier.issn1078-0947
dc.identifier.officialurlhttps://aimsciences.org/journals/pdfs.jsp?paperID=7050&mode=full
dc.identifier.relatedurlhttps://www.aimsciences.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44753
dc.journal.titleDiscrete and Continuous Dynamical Systems
dc.language.isoeng
dc.page.final746
dc.page.initial737
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.projectIDMTM2009-07540
dc.relation.projectIDGR58/08
dc.relation.projectIDFIS2009-12964-C05-03
dc.rights.accessRightsrestricted access
dc.subject.cdu517.9
dc.subject.keywordDynamic boundary conditions
dc.subject.keywordconcentrating integrals
dc.subject.keywordparabolic problems
dc.subject.keywordflux null
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleDynamic Boundary Conditions as Limit of Singularly Perturbed Parabolic Problems
dc.typejournal article
dc.volume.numberS.2011
dcterms.referencesR. Adams, Sobolev Spaces, Pure and Applied Mathematics, 65 (1975), Academic Press, New York-London. J.M. Arrieta, A. Jiménez-Casas and A.Rodríguez-Bernal, Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary, Rev. Ibero. Matem., 24 (2008), 183–211. A.Friedman and M. Shinbrot, The initial value problem for the linearized equations of water waves, J. Mathematics and Mechanics, 17 (1967), 107–180. A. Jiménez-Casas and A.Rodríguez-Bernal, Asymptotic behaviour of a parabolic problem with terms concentrated on the boundary, Nonlin. Anal., 71 (2009), e2377–2383. J.L.Lions, Quelques Mèthodes de Rèsolution des Problèmes aux Limites non Lineaires, Dunod(1969). A. Rodríguez-Bernal and E. Zuazua, Parabolic singular limit of a wave equation with localized boundary damping, Dis. Cont. Dyn. Sys., 1 (1995), 303–346. A. Rodríguez-Bernal and E. Zuazua, Parabolic singular limit of a wave equation with localized interior damping, Comm. Contem. Math., 3 (2001), 215–257.
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relation.isAuthorOfPublicationfb7ac82c-5148-4dd1-b893-d8f8612a1b08
relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08

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