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HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE
A. BUFFA
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Source: Crossref
Published: Dec 1, 2001
DOI: 10.1142/s0218202501001434
Open original source ↗Source abstract
This paper concerns the characterization of tangential traces for the space H(curl, Ω), when Ω is a Lipschitz polyhedron in ℝ 3 under general topology assumptions. Suitable spaces of tangential vector fields are introduced and characterized. Hodge decompositions are provided and they involve the first cohomology space of the boundary Γ. Such a space is characterized and a basis is furnished.
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