Hilbert complexes with mixed boundary conditions part 1: de Rham complex
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Contributors
Abstract
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. Higher Sobolev order results are proved as well.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 2465-2507 |
| Number of pages | 43 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 45 |
| Issue number | 5 |
| Early online date | Jan 2022 |
| Publication status | Published - 30 Mar 2022 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-4155-7297/work/145224228 |
|---|---|
| WOS | 000741089100001 |
Keywords
ASJC Scopus subject areas
Keywords
- compact embeddings, de Rham complex, Hilbert complexes, mixed boundary conditions, regular decompositions, regular potentials