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dc.contributor.authorLü, Q.
dc.date.accessioned2017-02-21T08:18:18Z
dc.date.available2017-02-21T08:18:18Z
dc.date.issued2013-12-31
dc.identifier.issn1292-8119
dc.identifier.urihttp://hdl.handle.net/20.500.11824/520
dc.description.abstractIn this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This result is a consequence of a new pointwise and weighted estimate for Laplace-Beltrami operators, a construction of some nonnegative function with arbitrary given critical point location in the manifold, and also two interpolation results for solutions of elliptic equations with lateral Robin boundary conditions.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectLaplace-Beltrami operator
dc.subjectLocal energy
dc.subjectLower bound
dc.subjectPartial sum of eigenfunctions
dc.subjectRobin boundary condition
dc.titleA lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1051/cocv/2012008
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84873913136&doi=10.1051%2fcocv%2f2012008&partnerID=40&md5=e6562677bafd5cd7e68356647da2dc76
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleESAIM - Control, Optimisation and Calculus of Variationsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España