Istituto di Matematica Applicata e Tecnologie Informatiche     
Buffa A. Hodge decompositions on the boundary of non-smooth domains: the non-simply connected case. Technical report ercim.cnr.ian//2000-1186, 2000.
This paper concerns the characterization of tangential traces for the space ${bf }H({bf curl},Omega)$, when $Omega$ 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 $Gamma$. Such a space is characterized and a basis is furnished.
Subject Trace theorems, Maxwell's equations

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