PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Buffa A. Trace theorems on non-smooth boundaries for functional spaces related to Maxwell equations: an overview. Technical report ercim.cnr.ian//2001-1248, 2001.
 
 
Abstract
(English)
We study tangential vector fields on the boundary of a bounded Lipschitz domain in $R^3$. Our attention is focused on the definition of suitable Hilbert spaces over a range of Sobolev regularity which we try to make as large as possible, and also on the construction of tangential differential operators. Hodge decompositions are proved to hold for some special choices of spaces which are of interest in the theory of Maxwell equations.
Subject Maxwell equations, trace theorems


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