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Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorIbort Latre, Luis Alberto
dc.contributor.authorLledó Macau, Fernando
dc.contributor.authorPérez Pardo, Juan Manuel
dc.date.accessioned2016-07-18T10:22:36Z
dc.date.available2017-02-02T23:00:06Z
dc.date.issued2015-02-01
dc.description.abstractWe construct in this article a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth compact boundary. Each of these quadratic forms specifies a semibounded self-adjoint extension of the Laplace-Beltrami operator. These quadratic forms are based on the Lagrange boundary form on the manifold and a family of domains parametrized by a suitable class of unitary operators on the boundary that will be called admissible. The corresponding quadratic forms are semi-bounded below and closable. Finally, the representing operators correspond to semi-bounded self-adjoint extensions of the Laplace-Beltrami operator. This family of extensions is compared with results existing in the literature and various examples and applications are discussed.en
dc.description.sponsorshipThe first and third name authors are partly supported by the project MTM2010-21186-C02-02 of the Spanish Ministerio de Ciencia e Innovación and QUITEMAD programme P2009 ESP-1594. The second-named author was partially supported by projects DGI MICIIN MTM2012-36372-C03-01 and Severo Ochoa SEV-2011-0087 of the Spanish Ministry of Economy and Competition. The third-named author was also partially supported in 2011 and 2012 by mobility grants of the “Universidad Carlos III de Madrid”.en
dc.format.extent38
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Functional Analysis, 2015, v. 268. Issue 3, pp. 634-670en
dc.identifier.doi10.1016/j.jfa.2014.10.013
dc.identifier.issn0022-1236
dc.identifier.publicationfirstpage634
dc.identifier.publicationissue3
dc.identifier.publicationlastpage670
dc.identifier.publicationtitleJournal of functional analysisen
dc.identifier.publicationvolume268
dc.identifier.urihttps://hdl.handle.net/10016/23360
dc.identifier.uxxiAR/0000016241
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. MTM2010-21186-C02-02es
dc.relation.projectIDGobierno de España. P2009 ESP-1594es
dc.relation.projectIDGobierno de España. MTM2012-36372-C03-01es
dc.relation.projectIDGobierno de España. SEV-2011-0087es
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jfa.2014.10.013
dc.rights© Elsevier 2015en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherSelf-adjoint extensionsen
dc.subject.otherLaplace-Beltrami operatoren
dc.subject.otherQuadratic formsen
dc.subject.otherBoundary conditionsen
dc.titleSelf-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundaryen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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