A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity

We prove that the space of vector fields on the boundary of a bounded domain with the Lipschitz boundary in three dimensions is decomposed into three subspaces: elements of the first one extend to inside the domain as divergence-free and rotation-free vector fields, the second one to the outside as...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2024-03
Hauptverfasser:	Fukushima, Shota, Ji, Yong-Gwan, Kang, Hyeonbae
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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