M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems

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dc.creatorBrown, B. M.
dc.creatorGrubb, G.
dc.creatorWood, I. G.
dc.date2008-03-26
dc.date2008-11-03
dc.date.accessioned2026-07-07T10:14:24Z
dc.date.available2026-07-07T10:14:24Z
dc.descriptionIn this paper, we combine results on extensions of operators with recent results on the relation between the M-function and the spectrum, to examine the spectral behaviour of boundary value problems. M-functions are defined for general closed extensions, and associated with realisations of elliptic operators. In particular, we consider both ODE and PDE examples where it is possible for the operator to possess spectral points that can not be detected by the M-function.
dc.description33 pages, explanations expanded, accepted for publication in Mathematische Nachrichten
dc.identifierhttps://arxiv.org/abs/0803.3630
dc.identifierhttp://arxiv.org/abs/0803.3630
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172867
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35J25, 35J30, 35J55, 35P05, 47A10, 47A11
dc.titleM-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
dc.typetext

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