PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Buffa A., Costabel M., Sheen D. On traces for ${bf H}({bf curl},Omega)$ in Lipschitz domains. Technical report ercim.cnr.ian//2000-1185, 2000.
 
 
Abstract
(English)
We study tangential vector fields on the boundary of a bounded Lipschitz domain $Omega$ in $R^3$. 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 ${bf H}({bf curl},Omega)$. Hodge decompositions are provided for the corresponding trace spaces, and an integration by parts formula is proved.
Subject Maxwell equations, trace theorems


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