Stable liftings of polynomial traces on tetrahedra
On the reference tetrahedron K, we construct, for each k ∈ N0, a right inverse for the trace operator u 7 → (u, ∂nu, . . . , ∂k nu)|∂K . The operator is stable as a mapping from the trace space of W s,p(K) to W s,p(K) for all p ∈ (1, ∞) and s ∈ (k + 1/p, ∞). Moreover, if the data is the trace of a p...
Main Authors: | Parker, C, Süli, E |
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Format: | Journal article |
Language: | English |
Published: |
Springer Nature
2024
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