Fachrichtung 6 . 1 – Mathematik Preprint Nr . 323 Characterization of trace spaces of H ( curl , Ω ) on curvilinear Lipschitz polyhedral domains Ω
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On traces for H(curl,Ω) in Lipschitz domains
We study tangential vector fields on the boundary of a bounded Lipschitz domain Ω in R3. Our attention is focused on the definition of suitable Hilbert spaces corresponding to fractional Sobolev regularities and also on the construction of tangential differential operators on the non-smooth manifold. The theory is applied to the characterization of tangential traces for the space H(curl,Ω). Hod...
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