The Hardy-Rellich Inequality for Polyharmonic Operators

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dc.creatorOwen, Mark P.
dc.date1998-03-05
dc.date.accessioned2026-07-07T05:24:00Z
dc.date.available2026-07-07T05:24:00Z
dc.descriptionThe Hardy-Rellich inequality given here generalizes a Hardy inequality of Davies (1984), from the case of the Dirichlet Laplacian of a region $Ω\subseteq\real^N$ to that of the higher order polyharmonic operators with Dirichlet boundary conditions. The inequality yields some immediate spectral information for the polyharmonic operators and also bounds on the trace of the associated semigroups and resolvents.
dc.description19 pages, 2 diagrams
dc.identifierhttps://arxiv.org/abs/math/9803015
dc.identifierhttp://arxiv.org/abs/math/9803015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76667
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject35K25
dc.titleThe Hardy-Rellich Inequality for Polyharmonic Operators
dc.typetext

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