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math.AP2021★ 16 cited
Hilbert Complexes with Mixed Boundary Conditions -- Part 2: Elasticity Complex
Dirk Pauly, Michael Schomburg
We show that the elasticity Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings whi…
math.AP2021★ 20 cited
Hilbert Complexes with Mixed Boundary Conditions -- Part 1: De Rham Complex
Dirk Pauly, Michael Schomburg
We show that the de Rham Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings which…