A density property for tensor products of gradients of harmonic functions and applications

We show that linear combinations of tensor products of k gradients of harmonic functions, with k at least three, are dense in C(Ω‾), for any bounded domain Ω in dimension 3 or higher. The bulk of the argument consists in showing that any smooth compactly supported k-tensor that is L2-orthogonal to a...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of functional analysis Jg. 284; H. 2; S. 109740
Hauptverfasser:	Cârstea, Cătălin I., Feizmohammadi, Ali
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 15.01.2023
Schlagworte:	Gradients of harmonic functions Inverse problems Quasilinear elliptic systems Gradients of harmonic functions Quasilinear elliptic systems Inverse problems
ISSN:	0022-1236, 1096-0783
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!