Corpus ID: 235377447

Hilbert Complexes with Mixed Boundary Conditions -- Part 1: De Rham Complex

@inproceedings{Pauly2021HilbertCW,
  title={Hilbert Complexes with Mixed Boundary Conditions -- Part 1: De Rham Complex},
  author={D. Pauly and M. Schomburg},
  year={2021}
}
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 follow by abstract arguments using functional analysis together with particular regular decompositions. 
Hilbert Complexes with Mixed Boundary Conditions -- Part 2: Elasticity Complex
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 which follow byExpand

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