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|Title:||Functional characterizations of trace spaces in Lipschitz domains|
Torres, Delfim F. M.
|Publisher:||Duke University Press|
|Abstract:||Using a factorization theorem of Douglas, we prove functional characterizations of trace spaces Hs (∂Ω) involving a family of positive selfadjoint operators. Our method is based on the use of a suitable operator by taking the trace on the boundary ∂Ω of a bounded Lipschitz domain Ω ⊂ R d and applying Moore–Penrose pseudoinverse properties together with a special inner product on H1 (Ω). We also establish generalized results of the Moore– Penrose pseudoinverse.|
|Appears in Collections:||CIDMA - Artigos|
SCG - Artigos
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