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: | , |
|---|---|
| Format: | Internet publication |
| Language: | English |
| Published: |
2024
|