Lipschitz domains, domains with corners and the Hodge Laplacian

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dc.creatorMitrea, Marius
dc.creatorTaylor, Michael
dc.creatorVasy, Andras
dc.date2004-08-31
dc.date.accessioned2026-07-07T05:11:41Z
dc.date.available2026-07-07T05:11:41Z
dc.descriptionWe define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains. We obtain results valid for general Lipschitz domains, and stronger results for a special class of ``almost convex'' domains, which apply to domains with corners.
dc.description20 pages; amstex
dc.identifierhttps://arxiv.org/abs/math/0408438
dc.identifierhttp://arxiv.org/abs/math/0408438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72329
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject31C12, 35B65, 35J25 (Primary) 58J32, 42B20 (Secondary)
dc.titleLipschitz domains, domains with corners and the Hodge Laplacian
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