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↦(u,∂nu,…,∂knu)|∂K. The operator is stable as a mapping from the trace space of Ws,p(K) to Ws,p(K) for all p∈(1,∞) and s∈(k+1/p,∞). Moreover, if the data is the trace of a polynomial of degree N∈N0,...
Main Authors: | Parker, C, Suli, E |
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Format: | Internet publication |
Language: | English |
Published: |
2024
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