Weck's Selection Theorem: The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in Arbitrary Dimensions
Publikation: Vorabdruck/Dokumentation/Bericht › Vorabdruck (Preprint)
Beitragende
Abstract
It is proved that the space of differential forms with weak exterior and co-derivative, is compactly embedded into the space of square integrable differential forms. Mixed boundary conditions on weak Lipschitz domains are considered. Furthermore, canonical applications such as Maxwell estimates, Helmholtz decompositions and a static solution theory are proved. As a side product and crucial tool for our proofs we show the existence of regular potentials and regular decompositions as well.
Details
Originalsprache | Englisch |
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Seitenumfang | 22 |
Publikationsstatus | Veröffentlicht - 4 Sept. 2018 |
Extern publiziert | Ja |
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Externe IDs
ORCID | /0000-0003-4155-7297/work/145698487 |
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Schlagworte
Schlagwörter
- math.AP, math-ph, math.MP, 35A23, 35Q61