Spectral Stability of the Neumann Laplacian

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dc.creatorBurenkov, V. I.
dc.creatorDavies, E. B.
dc.date2001-06-19
dc.date.accessioned2026-07-07T06:32:51Z
dc.date.available2026-07-07T06:32:51Z
dc.descriptionWe prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associated with an arbitrary region of finite measure in Euclidean space. We also prove that if one perturbs the boundary of the region within a uniform Hölder category then the eigenvalues of the Neumann Laplacian change by a small and explicitly estimated amount. AMS subject classifications: 35P15, 35J25, 47A75, 47B25, 26D10, 46E35. Keywords: Neumann Laplacian, Sobolev inequalities, Hardy inequalities, spectral stability, Hölder continuity.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0106160
dc.identifierhttp://arxiv.org/abs/math/0106160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99000
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject35P15; 35J25, 47A75, 47B25; 26D10; 46E35
dc.titleSpectral Stability of the Neumann Laplacian
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