Functional characterizations of trace spaces in Lipschitz domains
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 applyin...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/25675 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/25675 |
| Summary: | 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. |
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